GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 1 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m C o m p i l a t i o n 1 * GAMS formulation for 1.731 Problem Set #3: Reservoir Yield 2 * 10 Oct 2006 3 4 COMPILATION TIME = 0.000 SECONDS 3.2 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 2 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 1 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.080 SECONDS 3.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.080 SECONDS 3.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 3 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 1 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 46.0000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 46.000000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . . 2 -INF . . . 3 -INF . . . 4 -INF . . . 5 -INF . . . 6 -INF . . 1.000 7 -INF . . . 8 -INF . . . 9 -INF . . . 10 -INF . . . 11 -INF . . . 12 -INF . . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 EPS 5 47.000 47.000 47.000 EPS 6 46.000 46.000 46.000 1.000 7 65.000 65.000 65.000 EPS 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF . . 1.000 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 46.000 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . . +INF EPS 3 . . +INF EPS 4 . . +INF EPS 5 . . +INF EPS 6 . . +INF . 7 . . +INF -1.000 8 . . +INF EPS 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 213.000 +INF . 2 . 97.000 +INF . 3 . 45.000 +INF . 4 . 11.000 +INF . 5 . 1.000 +INF . 6 . . +INF -1.000 7 . 19.000 +INF . 8 . 63.000 +INF . 9 . 102.000 +INF . 10 . 148.000 +INF . 11 . 174.000 +INF . 12 . 187.000 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . . +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 4 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 2 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.131 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 5 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 2 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 49.0000 RESOURCE USAGE, LIMIT 0.200 1000.000 ITERATION COUNT, LIMIT 2 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 49.000000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -5.000 . . 2 -INF -5.000 . . 3 -INF -5.000 . . 4 -INF -5.000 . . 5 -INF . . 0.500 6 -INF -2.000 . . 7 -INF -5.000 . . 8 -INF -5.000 . . 9 -INF -5.000 . . 10 -INF -5.000 . . 11 -INF -5.000 . . 12 -INF -5.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 EPS 5 47.000 47.000 47.000 0.500 6 46.000 46.000 46.000 0.500 7 65.000 65.000 65.000 EPS 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 5.000 5.000 0.500 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 49.000 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . . +INF EPS 3 . . +INF EPS 4 . . +INF EPS 5 . 5.000 +INF . 6 . 3.000 +INF . 7 . . +INF -0.500 8 . . +INF EPS 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 210.000 +INF . 2 . 94.000 +INF . 3 . 42.000 +INF . 4 . 3.000 +INF . 5 . . +INF -0.500 6 . . +INF -0.500 7 . 16.000 +INF . 8 . 60.000 +INF . 9 . 99.000 +INF . 10 . 145.000 +INF . 11 . 171.000 +INF . 12 . 184.000 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 5.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 6 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 3 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 7 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 3 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 51.5000 RESOURCE USAGE, LIMIT 0.000 1000.000 ITERATION COUNT, LIMIT 2 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 51.500000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -10.000 . . 2 -INF -10.000 . . 3 -INF -10.000 . . 4 -INF . . EPS 5 -INF . . 0.500 6 -INF -4.500 . . 7 -INF -10.000 . . 8 -INF -10.000 . . 9 -INF -10.000 . . 10 -INF -10.000 . . 11 -INF -10.000 . . 12 -INF -10.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 EPS 5 47.000 47.000 47.000 0.500 6 46.000 46.000 46.000 0.500 7 65.000 65.000 65.000 EPS 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 10.000 10.000 0.500 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 51.500 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . . +INF EPS 3 . . +INF EPS 4 . 10.000 +INF . 5 . 10.000 +INF . 6 . 5.500 +INF . 7 . . +INF -0.500 8 . . +INF EPS 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 207.500 +INF . 2 . 91.500 +INF . 3 . 29.500 +INF . 4 . 5.500 +INF . 5 . . +INF -0.500 6 . . +INF -0.500 7 . 13.500 +INF . 8 . 57.500 +INF . 9 . 96.500 +INF . 10 . 142.500 +INF . 11 . 168.500 +INF . 12 . 181.500 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 10.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 8 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 4 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 9 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 4 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 54.0000 RESOURCE USAGE, LIMIT 0.080 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 54.000000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -15.000 . . 2 -INF -15.000 . . 3 -INF -15.000 . . 4 -INF . . EPS 5 -INF . . 0.500 6 -INF -7.000 . . 7 -INF -15.000 . . 8 -INF -15.000 . . 9 -INF -15.000 . . 10 -INF -15.000 . . 11 -INF -15.000 . . 12 -INF -15.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 EPS 5 47.000 47.000 47.000 0.500 6 46.000 46.000 46.000 0.500 7 65.000 65.000 65.000 EPS 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 15.000 15.000 0.500 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 54.000 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . . +INF EPS 3 . . +INF EPS 4 . 15.000 +INF . 5 . 15.000 +INF . 6 . 8.000 +INF . 7 . . +INF -0.500 8 . . +INF EPS 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 205.000 +INF . 2 . 89.000 +INF . 3 . 22.000 +INF . 4 . 3.000 +INF . 5 . . +INF -0.500 6 . . +INF -0.500 7 . 11.000 +INF . 8 . 55.000 +INF . 9 . 94.000 +INF . 10 . 140.000 +INF . 11 . 166.000 +INF . 12 . 179.000 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 15.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 10 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 5 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.070 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 11 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 5 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 56.5000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 56.500000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -20.000 . . 2 -INF -20.000 . . 3 -INF -20.000 . . 4 -INF . . EPS 5 -INF . . 0.500 6 -INF -9.500 . . 7 -INF -20.000 . . 8 -INF -20.000 . . 9 -INF -20.000 . . 10 -INF -20.000 . . 11 -INF -20.000 . . 12 -INF -20.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 EPS 5 47.000 47.000 47.000 0.500 6 46.000 46.000 46.000 0.500 7 65.000 65.000 65.000 EPS 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 20.000 20.000 0.500 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 56.500 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . . +INF EPS 3 . . +INF EPS 4 . 20.000 +INF . 5 . 20.000 +INF . 6 . 10.500 +INF . 7 . . +INF -0.500 8 . . +INF EPS 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 202.500 +INF . 2 . 86.500 +INF . 3 . 14.500 +INF . 4 . 0.500 +INF . 5 . . +INF -0.500 6 . . +INF -0.500 7 . 8.500 +INF . 8 . 52.500 +INF . 9 . 91.500 +INF . 10 . 137.500 +INF . 11 . 163.500 +INF . 12 . 176.500 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 20.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 12 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 6 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 13 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 6 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 58.3333 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 4 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 58.333333 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -25.000 . . 2 -INF -25.000 . . 3 -INF . . EPS 4 -INF . . 0.333 5 -INF -1.333 . . 6 -INF -12.667 . . 7 -INF -25.000 . . 8 -INF -25.000 . . 9 -INF -25.000 . . 10 -INF -25.000 . . 11 -INF -25.000 . . 12 -INF -25.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 0.333 5 47.000 47.000 47.000 0.333 6 46.000 46.000 46.000 0.333 7 65.000 65.000 65.000 EPS 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 25.000 25.000 0.333 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 58.333 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . . +INF EPS 3 . 25.000 +INF . 4 . 25.000 +INF . 5 . 23.667 +INF . 6 . 12.333 +INF . 7 . . +INF -0.333 8 . . +INF EPS 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 200.667 +INF . 2 . 59.667 +INF . 3 . 32.667 +INF . 4 . . +INF -0.333 5 . . +INF -0.333 6 . . +INF -0.333 7 . 6.667 +INF . 8 . 50.667 +INF . 9 . 89.667 +INF . 10 . 135.667 +INF . 11 . 161.667 +INF . 12 . 174.667 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 25.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 14 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 7 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 15 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 7 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 60.0000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 60.000000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -30.000 . . 2 -INF -30.000 . . 3 -INF . . EPS 4 -INF . . 0.333 5 -INF -3.000 . . 6 -INF -16.000 . . 7 -INF -30.000 . . 8 -INF -30.000 . . 9 -INF -30.000 . . 10 -INF -30.000 . . 11 -INF -30.000 . . 12 -INF -30.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 0.333 5 47.000 47.000 47.000 0.333 6 46.000 46.000 46.000 0.333 7 65.000 65.000 65.000 EPS 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 30.000 30.000 0.333 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 60.000 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . . +INF EPS 3 . 30.000 +INF . 4 . 30.000 +INF . 5 . 27.000 +INF . 6 . 14.000 +INF . 7 . . +INF -0.333 8 . . +INF EPS 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 199.000 +INF . 2 . 53.000 +INF . 3 . 31.000 +INF . 4 . . +INF -0.333 5 . . +INF -0.333 6 . . +INF -0.333 7 . 5.000 +INF . 8 . 49.000 +INF . 9 . 88.000 +INF . 10 . 134.000 +INF . 11 . 160.000 +INF . 12 . 173.000 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 30.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 16 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 8 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 17 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 8 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 61.6667 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 61.666667 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -35.000 . . 2 -INF -35.000 . . 3 -INF . . EPS 4 -INF . . 0.333 5 -INF -4.667 . . 6 -INF -19.333 . . 7 -INF -35.000 . . 8 -INF -35.000 . . 9 -INF -35.000 . . 10 -INF -35.000 . . 11 -INF -35.000 . . 12 -INF -35.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 0.333 5 47.000 47.000 47.000 0.333 6 46.000 46.000 46.000 0.333 7 65.000 65.000 65.000 EPS 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 35.000 35.000 0.333 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 61.667 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . . +INF EPS 3 . 35.000 +INF . 4 . 35.000 +INF . 5 . 30.333 +INF . 6 . 15.667 +INF . 7 . . +INF -0.333 8 . . +INF EPS 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 197.333 +INF . 2 . 46.333 +INF . 3 . 29.333 +INF . 4 . . +INF -0.333 5 . . +INF -0.333 6 . . +INF -0.333 7 . 3.333 +INF . 8 . 47.333 +INF . 9 . 86.333 +INF . 10 . 132.333 +INF . 11 . 158.333 +INF . 12 . 171.333 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 35.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 18 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 9 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 19 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 9 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 63.3333 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 63.333333 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -40.000 . . 2 -INF -40.000 . . 3 -INF . . EPS 4 -INF . . 0.333 5 -INF -6.333 . . 6 -INF -22.667 . . 7 -INF -40.000 . . 8 -INF -40.000 . . 9 -INF -40.000 . . 10 -INF -40.000 . . 11 -INF -40.000 . . 12 -INF -40.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 0.333 5 47.000 47.000 47.000 0.333 6 46.000 46.000 46.000 0.333 7 65.000 65.000 65.000 EPS 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 40.000 40.000 0.333 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 63.333 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . . +INF EPS 3 . 40.000 +INF . 4 . 40.000 +INF . 5 . 33.667 +INF . 6 . 17.333 +INF . 7 . . +INF -0.333 8 . . +INF EPS 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 195.667 +INF . 2 . 39.667 +INF . 3 . 27.667 +INF . 4 . . +INF -0.333 5 . . +INF -0.333 6 . . +INF -0.333 7 . 1.667 +INF . 8 . 45.667 +INF . 9 . 84.667 +INF . 10 . 130.667 +INF . 11 . 156.667 +INF . 12 . 169.667 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 40.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 20 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 10 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.051 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.051 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 21 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 10 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 65.0000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 1 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 65.000000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -45.000 . . 2 -INF -45.000 . . 3 -INF . . EPS 4 -INF . . 0.250 5 -INF -8.000 . . 6 -INF -26.000 . . 7 -INF -45.000 . . 8 -INF -45.000 . . 9 -INF -45.000 . . 10 -INF -45.000 . . 11 -INF -45.000 . . 12 -INF -45.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 0.250 5 47.000 47.000 47.000 0.250 6 46.000 46.000 46.000 0.250 7 65.000 65.000 65.000 0.250 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 45.000 45.000 0.250 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 65.000 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . . +INF EPS 3 . 45.000 +INF . 4 . 45.000 +INF . 5 . 37.000 +INF . 6 . 19.000 +INF . 7 . . +INF . 8 . . +INF -0.250 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 194.000 +INF . 2 . 33.000 +INF . 3 . 26.000 +INF . 4 . . +INF -0.250 5 . . +INF -0.250 6 . . +INF -0.250 7 . . +INF -0.250 8 . 44.000 +INF . 9 . 83.000 +INF . 10 . 129.000 +INF . 11 . 155.000 +INF . 12 . 168.000 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 45.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 22 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 11 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 23 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 11 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 66.2500 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 66.250000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -50.000 . . 2 -INF . . EPS 3 -INF . . EPS 4 -INF . . 0.250 5 -INF -9.250 . . 6 -INF -28.500 . . 7 -INF -48.750 . . 8 -INF -50.000 . . 9 -INF -50.000 . . 10 -INF -50.000 . . 11 -INF -50.000 . . 12 -INF -50.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 0.250 5 47.000 47.000 47.000 0.250 6 46.000 46.000 46.000 0.250 7 65.000 65.000 65.000 0.250 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 50.000 50.000 0.250 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 66.250 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . 50.000 +INF . 3 . 50.000 +INF . 4 . 50.000 +INF . 5 . 40.750 +INF . 6 . 21.500 +INF . 7 . 1.250 +INF . 8 . . +INF -0.250 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 142.750 +INF . 2 . 76.750 +INF . 3 . 24.750 +INF . 4 . . +INF -0.250 5 . . +INF -0.250 6 . . +INF -0.250 7 . . +INF -0.250 8 . 42.750 +INF . 9 . 81.750 +INF . 10 . 127.750 +INF . 11 . 153.750 +INF . 12 . 166.750 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 50.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 24 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 12 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 25 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 12 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 67.5000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 67.500000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -55.000 . . 2 -INF . . EPS 3 -INF . . EPS 4 -INF . . 0.250 5 -INF -10.500 . . 6 -INF -31.000 . . 7 -INF -52.500 . . 8 -INF -55.000 . . 9 -INF -55.000 . . 10 -INF -55.000 . . 11 -INF -55.000 . . 12 -INF -55.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 0.250 5 47.000 47.000 47.000 0.250 6 46.000 46.000 46.000 0.250 7 65.000 65.000 65.000 0.250 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 55.000 55.000 0.250 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 67.500 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . 55.000 +INF . 3 . 55.000 +INF . 4 . 55.000 +INF . 5 . 44.500 +INF . 6 . 24.000 +INF . 7 . 2.500 +INF . 8 . . +INF -0.250 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 136.500 +INF . 2 . 75.500 +INF . 3 . 23.500 +INF . 4 . . +INF -0.250 5 . . +INF -0.250 6 . . +INF -0.250 7 . . +INF -0.250 8 . 41.500 +INF . 9 . 80.500 +INF . 10 . 126.500 +INF . 11 . 152.500 +INF . 12 . 165.500 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 55.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 26 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 13 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 27 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 13 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 68.7500 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 68.750000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -60.000 . . 2 -INF . . EPS 3 -INF . . EPS 4 -INF . . 0.250 5 -INF -11.750 . . 6 -INF -33.500 . . 7 -INF -56.250 . . 8 -INF -60.000 . . 9 -INF -60.000 . . 10 -INF -60.000 . . 11 -INF -60.000 . . 12 -INF -60.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 0.250 5 47.000 47.000 47.000 0.250 6 46.000 46.000 46.000 0.250 7 65.000 65.000 65.000 0.250 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 60.000 60.000 0.250 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 68.750 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . 60.000 +INF . 3 . 60.000 +INF . 4 . 60.000 +INF . 5 . 48.250 +INF . 6 . 26.500 +INF . 7 . 3.750 +INF . 8 . . +INF -0.250 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 130.250 +INF . 2 . 74.250 +INF . 3 . 22.250 +INF . 4 . . +INF -0.250 5 . . +INF -0.250 6 . . +INF -0.250 7 . . +INF -0.250 8 . 40.250 +INF . 9 . 79.250 +INF . 10 . 125.250 +INF . 11 . 151.250 +INF . 12 . 164.250 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 60.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 28 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 14 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 29 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 14 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 70.0000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 70.000000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -65.000 . . 2 -INF . . EPS 3 -INF . . EPS 4 -INF . . 0.250 5 -INF -13.000 . . 6 -INF -36.000 . . 7 -INF -60.000 . . 8 -INF -65.000 . . 9 -INF -65.000 . . 10 -INF -65.000 . . 11 -INF -65.000 . . 12 -INF -65.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 0.250 5 47.000 47.000 47.000 0.250 6 46.000 46.000 46.000 0.250 7 65.000 65.000 65.000 0.250 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 65.000 65.000 0.250 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 70.000 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . 65.000 +INF . 3 . 65.000 +INF . 4 . 65.000 +INF . 5 . 52.000 +INF . 6 . 29.000 +INF . 7 . 5.000 +INF . 8 . . +INF -0.250 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 124.000 +INF . 2 . 73.000 +INF . 3 . 21.000 +INF . 4 . . +INF -0.250 5 . . +INF -0.250 6 . . +INF -0.250 7 . . +INF -0.250 8 . 39.000 +INF . 9 . 78.000 +INF . 10 . 124.000 +INF . 11 . 150.000 +INF . 12 . 163.000 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 65.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 30 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 15 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.100 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.110 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 31 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 15 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 71.2500 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 71.250000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -70.000 . . 2 -INF . . EPS 3 -INF . . EPS 4 -INF . . 0.250 5 -INF -14.250 . . 6 -INF -38.500 . . 7 -INF -63.750 . . 8 -INF -70.000 . . 9 -INF -70.000 . . 10 -INF -70.000 . . 11 -INF -70.000 . . 12 -INF -70.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 0.250 5 47.000 47.000 47.000 0.250 6 46.000 46.000 46.000 0.250 7 65.000 65.000 65.000 0.250 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 70.000 70.000 0.250 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 71.250 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . 70.000 +INF . 3 . 70.000 +INF . 4 . 70.000 +INF . 5 . 55.750 +INF . 6 . 31.500 +INF . 7 . 6.250 +INF . 8 . . +INF -0.250 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 117.750 +INF . 2 . 71.750 +INF . 3 . 19.750 +INF . 4 . . +INF -0.250 5 . . +INF -0.250 6 . . +INF -0.250 7 . . +INF -0.250 8 . 37.750 +INF . 9 . 76.750 +INF . 10 . 122.750 +INF . 11 . 148.750 +INF . 12 . 161.750 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 70.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 32 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 16 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 33 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 16 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 72.5000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 72.500000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -75.000 . . 2 -INF . . EPS 3 -INF . . EPS 4 -INF . . 0.250 5 -INF -15.500 . . 6 -INF -41.000 . . 7 -INF -67.500 . . 8 -INF -75.000 . . 9 -INF -75.000 . . 10 -INF -75.000 . . 11 -INF -75.000 . . 12 -INF -75.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 0.250 5 47.000 47.000 47.000 0.250 6 46.000 46.000 46.000 0.250 7 65.000 65.000 65.000 0.250 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 75.000 75.000 0.250 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 72.500 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . 75.000 +INF . 3 . 75.000 +INF . 4 . 75.000 +INF . 5 . 59.500 +INF . 6 . 34.000 +INF . 7 . 7.500 +INF . 8 . . +INF -0.250 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 111.500 +INF . 2 . 70.500 +INF . 3 . 18.500 +INF . 4 . . +INF -0.250 5 . . +INF -0.250 6 . . +INF -0.250 7 . . +INF -0.250 8 . 36.500 +INF . 9 . 75.500 +INF . 10 . 121.500 +INF . 11 . 147.500 +INF . 12 . 160.500 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 75.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 34 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 17 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 35 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 17 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 73.7500 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 73.750000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -80.000 . . 2 -INF . . EPS 3 -INF . . EPS 4 -INF . . 0.250 5 -INF -16.750 . . 6 -INF -43.500 . . 7 -INF -71.250 . . 8 -INF -80.000 . . 9 -INF -80.000 . . 10 -INF -80.000 . . 11 -INF -80.000 . . 12 -INF -80.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 0.250 5 47.000 47.000 47.000 0.250 6 46.000 46.000 46.000 0.250 7 65.000 65.000 65.000 0.250 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 80.000 80.000 0.250 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 73.750 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . 80.000 +INF . 3 . 80.000 +INF . 4 . 80.000 +INF . 5 . 63.250 +INF . 6 . 36.500 +INF . 7 . 8.750 +INF . 8 . . +INF -0.250 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 105.250 +INF . 2 . 69.250 +INF . 3 . 17.250 +INF . 4 . . +INF -0.250 5 . . +INF -0.250 6 . . +INF -0.250 7 . . +INF -0.250 8 . 35.250 +INF . 9 . 74.250 +INF . 10 . 120.250 +INF . 11 . 146.250 +INF . 12 . 159.250 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 80.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 36 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 18 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.051 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.061 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 37 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 18 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 75.0000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 75.000000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -85.000 . . 2 -INF . . EPS 3 -INF . . EPS 4 -INF . . 0.250 5 -INF -18.000 . . 6 -INF -46.000 . . 7 -INF -75.000 . . 8 -INF -85.000 . . 9 -INF -85.000 . . 10 -INF -85.000 . . 11 -INF -85.000 . . 12 -INF -85.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 0.250 5 47.000 47.000 47.000 0.250 6 46.000 46.000 46.000 0.250 7 65.000 65.000 65.000 0.250 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 85.000 85.000 0.250 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 75.000 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . 85.000 +INF . 3 . 85.000 +INF . 4 . 85.000 +INF . 5 . 67.000 +INF . 6 . 39.000 +INF . 7 . 10.000 +INF . 8 . . +INF -0.250 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 99.000 +INF . 2 . 68.000 +INF . 3 . 16.000 +INF . 4 . . +INF -0.250 5 . . +INF -0.250 6 . . +INF -0.250 7 . . +INF -0.250 8 . 34.000 +INF . 9 . 73.000 +INF . 10 . 119.000 +INF . 11 . 145.000 +INF . 12 . 158.000 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 85.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 38 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 19 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 39 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 19 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 76.2500 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 76.250000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -90.000 . . 2 -INF . . EPS 3 -INF . . EPS 4 -INF . . 0.250 5 -INF -19.250 . . 6 -INF -48.500 . . 7 -INF -78.750 . . 8 -INF -90.000 . . 9 -INF -90.000 . . 10 -INF -90.000 . . 11 -INF -90.000 . . 12 -INF -90.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 0.250 5 47.000 47.000 47.000 0.250 6 46.000 46.000 46.000 0.250 7 65.000 65.000 65.000 0.250 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 90.000 90.000 0.250 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 76.250 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . 90.000 +INF . 3 . 90.000 +INF . 4 . 90.000 +INF . 5 . 70.750 +INF . 6 . 41.500 +INF . 7 . 11.250 +INF . 8 . . +INF -0.250 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 92.750 +INF . 2 . 66.750 +INF . 3 . 14.750 +INF . 4 . . +INF -0.250 5 . . +INF -0.250 6 . . +INF -0.250 7 . . +INF -0.250 8 . 32.750 +INF . 9 . 71.750 +INF . 10 . 117.750 +INF . 11 . 143.750 +INF . 12 . 156.750 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 90.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 40 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 20 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 41 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 20 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 77.5000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 77.500000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -95.000 . . 2 -INF . . EPS 3 -INF . . EPS 4 -INF . . 0.250 5 -INF -20.500 . . 6 -INF -51.000 . . 7 -INF -82.500 . . 8 -INF -95.000 . . 9 -INF -95.000 . . 10 -INF -95.000 . . 11 -INF -95.000 . . 12 -INF -95.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 0.250 5 47.000 47.000 47.000 0.250 6 46.000 46.000 46.000 0.250 7 65.000 65.000 65.000 0.250 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 95.000 95.000 0.250 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 77.500 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . 95.000 +INF . 3 . 95.000 +INF . 4 . 95.000 +INF . 5 . 74.500 +INF . 6 . 44.000 +INF . 7 . 12.500 +INF . 8 . . +INF -0.250 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 86.500 +INF . 2 . 65.500 +INF . 3 . 13.500 +INF . 4 . . +INF -0.250 5 . . +INF -0.250 6 . . +INF -0.250 7 . . +INF -0.250 8 . 31.500 +INF . 9 . 70.500 +INF . 10 . 116.500 +INF . 11 . 142.500 +INF . 12 . 155.500 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 95.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 42 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 21 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 43 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 21 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 78.7500 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 78.750000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -100.000 . . 2 -INF . . EPS 3 -INF . . EPS 4 -INF . . 0.250 5 -INF -21.750 . . 6 -INF -53.500 . . 7 -INF -86.250 . . 8 -INF -100.000 . . 9 -INF -100.000 . . 10 -INF -100.000 . . 11 -INF -100.000 . . 12 -INF -100.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 0.250 5 47.000 47.000 47.000 0.250 6 46.000 46.000 46.000 0.250 7 65.000 65.000 65.000 0.250 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 100.000 100.000 0.250 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 78.750 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . 100.000 +INF . 3 . 100.000 +INF . 4 . 100.000 +INF . 5 . 78.250 +INF . 6 . 46.500 +INF . 7 . 13.750 +INF . 8 . . +INF -0.250 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 80.250 +INF . 2 . 64.250 +INF . 3 . 12.250 +INF . 4 . . +INF -0.250 5 . . +INF -0.250 6 . . +INF -0.250 7 . . +INF -0.250 8 . 30.250 +INF . 9 . 69.250 +INF . 10 . 115.250 +INF . 11 . 141.250 +INF . 12 . 154.250 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 100.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 44 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 22 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.061 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.061 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 45 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 22 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 80.0000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 80.000000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -105.000 . . 2 -INF . . EPS 3 -INF . . EPS 4 -INF . . 0.250 5 -INF -23.000 . . 6 -INF -56.000 . . 7 -INF -90.000 . . 8 -INF -105.000 . . 9 -INF -105.000 . . 10 -INF -105.000 . . 11 -INF -105.000 . . 12 -INF -105.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 0.250 5 47.000 47.000 47.000 0.250 6 46.000 46.000 46.000 0.250 7 65.000 65.000 65.000 0.250 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 105.000 105.000 0.250 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 80.000 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . 105.000 +INF . 3 . 105.000 +INF . 4 . 105.000 +INF . 5 . 82.000 +INF . 6 . 49.000 +INF . 7 . 15.000 +INF . 8 . . +INF -0.250 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 74.000 +INF . 2 . 63.000 +INF . 3 . 11.000 +INF . 4 . . +INF -0.250 5 . . +INF -0.250 6 . . +INF -0.250 7 . . +INF -0.250 8 . 29.000 +INF . 9 . 68.000 +INF . 10 . 114.000 +INF . 11 . 140.000 +INF . 12 . 153.000 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 105.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 46 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 23 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 47 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 23 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 81.2500 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 81.250000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -110.000 . . 2 -INF . . EPS 3 -INF . . EPS 4 -INF . . 0.250 5 -INF -24.250 . . 6 -INF -58.500 . . 7 -INF -93.750 . . 8 -INF -110.000 . . 9 -INF -110.000 . . 10 -INF -110.000 . . 11 -INF -110.000 . . 12 -INF -110.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 0.250 5 47.000 47.000 47.000 0.250 6 46.000 46.000 46.000 0.250 7 65.000 65.000 65.000 0.250 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 110.000 110.000 0.250 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 81.250 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . 110.000 +INF . 3 . 110.000 +INF . 4 . 110.000 +INF . 5 . 85.750 +INF . 6 . 51.500 +INF . 7 . 16.250 +INF . 8 . . +INF -0.250 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 67.750 +INF . 2 . 61.750 +INF . 3 . 9.750 +INF . 4 . . +INF -0.250 5 . . +INF -0.250 6 . . +INF -0.250 7 . . +INF -0.250 8 . 27.750 +INF . 9 . 66.750 +INF . 10 . 112.750 +INF . 11 . 138.750 +INF . 12 . 151.750 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 110.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 48 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 24 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 49 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 24 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 82.5000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 82.500000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -115.000 . . 2 -INF . . EPS 3 -INF . . EPS 4 -INF . . 0.250 5 -INF -25.500 . . 6 -INF -61.000 . . 7 -INF -97.500 . . 8 -INF -115.000 . . 9 -INF -115.000 . . 10 -INF -115.000 . . 11 -INF -115.000 . . 12 -INF -115.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 0.250 5 47.000 47.000 47.000 0.250 6 46.000 46.000 46.000 0.250 7 65.000 65.000 65.000 0.250 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 115.000 115.000 0.250 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 82.500 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . 115.000 +INF . 3 . 115.000 +INF . 4 . 115.000 +INF . 5 . 89.500 +INF . 6 . 54.000 +INF . 7 . 17.500 +INF . 8 . . +INF -0.250 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 61.500 +INF . 2 . 60.500 +INF . 3 . 8.500 +INF . 4 . . +INF -0.250 5 . . +INF -0.250 6 . . +INF -0.250 7 . . +INF -0.250 8 . 26.500 +INF . 9 . 65.500 +INF . 10 . 111.500 +INF . 11 . 137.500 +INF . 12 . 150.500 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 115.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 50 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 25 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 51 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 25 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 83.7500 RESOURCE USAGE, LIMIT 0.020 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 83.750000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -120.000 . . 2 -INF . . EPS 3 -INF . . EPS 4 -INF . . 0.250 5 -INF -26.750 . . 6 -INF -63.500 . . 7 -INF -101.250 . . 8 -INF -120.000 . . 9 -INF -120.000 . . 10 -INF -120.000 . . 11 -INF -120.000 . . 12 -INF -120.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 0.250 5 47.000 47.000 47.000 0.250 6 46.000 46.000 46.000 0.250 7 65.000 65.000 65.000 0.250 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 120.000 120.000 0.250 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 83.750 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . 120.000 +INF . 3 . 120.000 +INF . 4 . 120.000 +INF . 5 . 93.250 +INF . 6 . 56.500 +INF . 7 . 18.750 +INF . 8 . . +INF -0.250 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 55.250 +INF . 2 . 59.250 +INF . 3 . 7.250 +INF . 4 . . +INF -0.250 5 . . +INF -0.250 6 . . +INF -0.250 7 . . +INF -0.250 8 . 25.250 +INF . 9 . 64.250 +INF . 10 . 110.250 +INF . 11 . 136.250 +INF . 12 . 149.250 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 120.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 52 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 26 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 53 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 26 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 85.0000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 85.000000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -125.000 . . 2 -INF . . EPS 3 -INF . . EPS 4 -INF . . 0.250 5 -INF -28.000 . . 6 -INF -66.000 . . 7 -INF -105.000 . . 8 -INF -125.000 . . 9 -INF -125.000 . . 10 -INF -125.000 . . 11 -INF -125.000 . . 12 -INF -125.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 0.250 5 47.000 47.000 47.000 0.250 6 46.000 46.000 46.000 0.250 7 65.000 65.000 65.000 0.250 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 125.000 125.000 0.250 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 85.000 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . 125.000 +INF . 3 . 125.000 +INF . 4 . 125.000 +INF . 5 . 97.000 +INF . 6 . 59.000 +INF . 7 . 20.000 +INF . 8 . . +INF -0.250 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 49.000 +INF . 2 . 58.000 +INF . 3 . 6.000 +INF . 4 . . +INF -0.250 5 . . +INF -0.250 6 . . +INF -0.250 7 . . +INF -0.250 8 . 24.000 +INF . 9 . 63.000 +INF . 10 . 109.000 +INF . 11 . 135.000 +INF . 12 . 148.000 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 125.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 54 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 27 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 55 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 27 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 86.2500 RESOURCE USAGE, LIMIT 0.000 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 86.250000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -130.000 . . 2 -INF . . EPS 3 -INF . . EPS 4 -INF . . 0.250 5 -INF -29.250 . . 6 -INF -68.500 . . 7 -INF -108.750 . . 8 -INF -130.000 . . 9 -INF -130.000 . . 10 -INF -130.000 . . 11 -INF -130.000 . . 12 -INF -130.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 0.250 5 47.000 47.000 47.000 0.250 6 46.000 46.000 46.000 0.250 7 65.000 65.000 65.000 0.250 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 130.000 130.000 0.250 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 86.250 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . 130.000 +INF . 3 . 130.000 +INF . 4 . 130.000 +INF . 5 . 100.750 +INF . 6 . 61.500 +INF . 7 . 21.250 +INF . 8 . . +INF -0.250 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 42.750 +INF . 2 . 56.750 +INF . 3 . 4.750 +INF . 4 . . +INF -0.250 5 . . +INF -0.250 6 . . +INF -0.250 7 . . +INF -0.250 8 . 22.750 +INF . 9 . 61.750 +INF . 10 . 107.750 +INF . 11 . 133.750 +INF . 12 . 146.750 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 130.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 56 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 28 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 57 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 28 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 87.5000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 87.500000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -135.000 . . 2 -INF . . EPS 3 -INF . . EPS 4 -INF . . 0.250 5 -INF -30.500 . . 6 -INF -71.000 . . 7 -INF -112.500 . . 8 -INF -135.000 . . 9 -INF -135.000 . . 10 -INF -135.000 . . 11 -INF -135.000 . . 12 -INF -135.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 0.250 5 47.000 47.000 47.000 0.250 6 46.000 46.000 46.000 0.250 7 65.000 65.000 65.000 0.250 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 135.000 135.000 0.250 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 87.500 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . 135.000 +INF . 3 . 135.000 +INF . 4 . 135.000 +INF . 5 . 104.500 +INF . 6 . 64.000 +INF . 7 . 22.500 +INF . 8 . . +INF -0.250 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 36.500 +INF . 2 . 55.500 +INF . 3 . 3.500 +INF . 4 . . +INF -0.250 5 . . +INF -0.250 6 . . +INF -0.250 7 . . +INF -0.250 8 . 21.500 +INF . 9 . 60.500 +INF . 10 . 106.500 +INF . 11 . 132.500 +INF . 12 . 145.500 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 135.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 58 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 29 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.070 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.070 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 59 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 29 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 88.7500 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 88.750000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -140.000 . . 2 -INF . . EPS 3 -INF . . EPS 4 -INF . . 0.250 5 -INF -31.750 . . 6 -INF -73.500 . . 7 -INF -116.250 . . 8 -INF -140.000 . . 9 -INF -140.000 . . 10 -INF -140.000 . . 11 -INF -140.000 . . 12 -INF -140.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 0.250 5 47.000 47.000 47.000 0.250 6 46.000 46.000 46.000 0.250 7 65.000 65.000 65.000 0.250 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 140.000 140.000 0.250 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 88.750 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . 140.000 +INF . 3 . 140.000 +INF . 4 . 140.000 +INF . 5 . 108.250 +INF . 6 . 66.500 +INF . 7 . 23.750 +INF . 8 . . +INF -0.250 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 30.250 +INF . 2 . 54.250 +INF . 3 . 2.250 +INF . 4 . . +INF -0.250 5 . . +INF -0.250 6 . . +INF -0.250 7 . . +INF -0.250 8 . 20.250 +INF . 9 . 59.250 +INF . 10 . 105.250 +INF . 11 . 131.250 +INF . 12 . 144.250 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 140.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 60 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 30 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 61 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 30 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 90.0000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 90.000000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -145.000 . . 2 -INF . . EPS 3 -INF . . EPS 4 -INF . . 0.250 5 -INF -33.000 . . 6 -INF -76.000 . . 7 -INF -120.000 . . 8 -INF -145.000 . . 9 -INF -145.000 . . 10 -INF -145.000 . . 11 -INF -145.000 . . 12 -INF -145.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 EPS 4 57.000 57.000 57.000 0.250 5 47.000 47.000 47.000 0.250 6 46.000 46.000 46.000 0.250 7 65.000 65.000 65.000 0.250 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 145.000 145.000 0.250 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 90.000 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . 145.000 +INF . 3 . 145.000 +INF . 4 . 145.000 +INF . 5 . 112.000 +INF . 6 . 69.000 +INF . 7 . 25.000 +INF . 8 . . +INF -0.250 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 24.000 +INF . 2 . 53.000 +INF . 3 . 1.000 +INF . 4 . . +INF -0.250 5 . . +INF -0.250 6 . . +INF -0.250 7 . . +INF -0.250 8 . 19.000 +INF . 9 . 58.000 +INF . 10 . 104.000 +INF . 11 . 130.000 +INF . 12 . 143.000 +INF . LOWER LEVEL UPPER MARGINAL ---- VAR v . 145.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 62 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 31 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 63 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 31 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 91.2000 RESOURCE USAGE, LIMIT 0.060 1000.000 ITERATION COUNT, LIMIT 17 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 91.200000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -51.800 . . 3 -INF . . 0.200 4 -INF -0.200 . . 5 -INF -34.400 . . 6 -INF -78.600 . . 7 -INF -123.800 . . 8 -INF -150.000 . . 9 -INF -150.000 . . 10 -INF -150.000 . . 11 -INF -150.000 . . 12 -INF -141.800 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.200 4 57.000 57.000 57.000 0.200 5 47.000 47.000 47.000 0.200 6 46.000 46.000 46.000 0.200 7 65.000 65.000 65.000 0.200 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 150.000 150.000 0.200 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 91.200 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 150.000 +INF . 2 . 98.200 +INF . 3 . 150.000 +INF . 4 . 149.800 +INF . 5 . 115.600 +INF . 6 . 71.400 +INF . 7 . 26.200 +INF . 8 . . +INF -0.200 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . 8.200 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 219.600 +INF . 2 . . +INF EPS 3 . . +INF -0.200 4 . . +INF -0.200 5 . . +INF -0.200 6 . . +INF -0.200 7 . . +INF -0.200 8 . 17.800 +INF . 9 . 56.800 +INF . 10 . 102.800 +INF . 11 . 120.600 +INF . 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 150.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 64 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 32 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 65 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 32 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 92.2000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 92.200000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -50.800 . . 3 -INF . . 0.200 4 -INF -1.200 . . 5 -INF -36.400 . . 6 -INF -81.600 . . 7 -INF -127.800 . . 8 -INF -155.000 . . 9 -INF -155.000 . . 10 -INF -155.000 . . 11 -INF -155.000 . . 12 -INF -140.800 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.200 4 57.000 57.000 57.000 0.200 5 47.000 47.000 47.000 0.200 6 46.000 46.000 46.000 0.200 7 65.000 65.000 65.000 0.200 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 155.000 155.000 0.200 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 92.200 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 155.000 +INF . 2 . 104.200 +INF . 3 . 155.000 +INF . 4 . 153.800 +INF . 5 . 118.600 +INF . 6 . 73.400 +INF . 7 . 27.200 +INF . 8 . . +INF -0.200 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . 14.200 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 217.600 +INF . 2 . . +INF EPS 3 . . +INF -0.200 4 . . +INF -0.200 5 . . +INF -0.200 6 . . +INF -0.200 7 . . +INF -0.200 8 . 16.800 +INF . 9 . 55.800 +INF . 10 . 101.800 +INF . 11 . 113.600 +INF . 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 155.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 66 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 33 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 67 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 33 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 93.2000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 93.200000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -49.800 . . 3 -INF . . 0.200 4 -INF -2.200 . . 5 -INF -38.400 . . 6 -INF -84.600 . . 7 -INF -131.800 . . 8 -INF -160.000 . . 9 -INF -160.000 . . 10 -INF -160.000 . . 11 -INF -160.000 . . 12 -INF -139.800 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.200 4 57.000 57.000 57.000 0.200 5 47.000 47.000 47.000 0.200 6 46.000 46.000 46.000 0.200 7 65.000 65.000 65.000 0.200 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 160.000 160.000 0.200 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 93.200 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 160.000 +INF . 2 . 110.200 +INF . 3 . 160.000 +INF . 4 . 157.800 +INF . 5 . 121.600 +INF . 6 . 75.400 +INF . 7 . 28.200 +INF . 8 . . +INF -0.200 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . 20.200 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 215.600 +INF . 2 . . +INF EPS 3 . . +INF -0.200 4 . . +INF -0.200 5 . . +INF -0.200 6 . . +INF -0.200 7 . . +INF -0.200 8 . 15.800 +INF . 9 . 54.800 +INF . 10 . 100.800 +INF . 11 . 106.600 +INF . 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 160.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 68 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 34 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.070 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 69 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 34 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 94.2000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 94.200000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -48.800 . . 3 -INF . . 0.200 4 -INF -3.200 . . 5 -INF -40.400 . . 6 -INF -87.600 . . 7 -INF -135.800 . . 8 -INF -165.000 . . 9 -INF -165.000 . . 10 -INF -165.000 . . 11 -INF -165.000 . . 12 -INF -138.800 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.200 4 57.000 57.000 57.000 0.200 5 47.000 47.000 47.000 0.200 6 46.000 46.000 46.000 0.200 7 65.000 65.000 65.000 0.200 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 165.000 165.000 0.200 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 94.200 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 165.000 +INF . 2 . 116.200 +INF . 3 . 165.000 +INF . 4 . 161.800 +INF . 5 . 124.600 +INF . 6 . 77.400 +INF . 7 . 29.200 +INF . 8 . . +INF -0.200 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . 26.200 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 213.600 +INF . 2 . . +INF EPS 3 . . +INF -0.200 4 . . +INF -0.200 5 . . +INF -0.200 6 . . +INF -0.200 7 . . +INF -0.200 8 . 14.800 +INF . 9 . 53.800 +INF . 10 . 99.800 +INF . 11 . 99.600 +INF . 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 165.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 70 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 35 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.080 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.090 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 71 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 35 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 95.2000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 95.200000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -47.800 . . 3 -INF . . 0.200 4 -INF -4.200 . . 5 -INF -42.400 . . 6 -INF -90.600 . . 7 -INF -139.800 . . 8 -INF -170.000 . . 9 -INF -170.000 . . 10 -INF -170.000 . . 11 -INF -170.000 . . 12 -INF -137.800 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.200 4 57.000 57.000 57.000 0.200 5 47.000 47.000 47.000 0.200 6 46.000 46.000 46.000 0.200 7 65.000 65.000 65.000 0.200 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 170.000 170.000 0.200 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 95.200 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 170.000 +INF . 2 . 122.200 +INF . 3 . 170.000 +INF . 4 . 165.800 +INF . 5 . 127.600 +INF . 6 . 79.400 +INF . 7 . 30.200 +INF . 8 . . +INF -0.200 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . 32.200 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 211.600 +INF . 2 . . +INF EPS 3 . . +INF -0.200 4 . . +INF -0.200 5 . . +INF -0.200 6 . . +INF -0.200 7 . . +INF -0.200 8 . 13.800 +INF . 9 . 52.800 +INF . 10 . 98.800 +INF . 11 . 92.600 +INF . 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 170.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 72 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 36 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.090 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.100 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 73 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 36 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 96.2000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 96.200000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -46.800 . . 3 -INF . . 0.200 4 -INF -5.200 . . 5 -INF -44.400 . . 6 -INF -93.600 . . 7 -INF -143.800 . . 8 -INF -175.000 . . 9 -INF -175.000 . . 10 -INF -175.000 . . 11 -INF -175.000 . . 12 -INF -136.800 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.200 4 57.000 57.000 57.000 0.200 5 47.000 47.000 47.000 0.200 6 46.000 46.000 46.000 0.200 7 65.000 65.000 65.000 0.200 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 175.000 175.000 0.200 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 96.200 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 175.000 +INF . 2 . 128.200 +INF . 3 . 175.000 +INF . 4 . 169.800 +INF . 5 . 130.600 +INF . 6 . 81.400 +INF . 7 . 31.200 +INF . 8 . . +INF -0.200 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . 38.200 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 209.600 +INF . 2 . . +INF EPS 3 . . +INF -0.200 4 . . +INF -0.200 5 . . +INF -0.200 6 . . +INF -0.200 7 . . +INF -0.200 8 . 12.800 +INF . 9 . 51.800 +INF . 10 . 97.800 +INF . 11 . 85.600 +INF . 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 175.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 74 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 37 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 75 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 37 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 97.2000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 97.200000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -45.800 . . 3 -INF . . 0.200 4 -INF -6.200 . . 5 -INF -46.400 . . 6 -INF -96.600 . . 7 -INF -147.800 . . 8 -INF -180.000 . . 9 -INF -180.000 . . 10 -INF -180.000 . . 11 -INF -180.000 . . 12 -INF -135.800 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.200 4 57.000 57.000 57.000 0.200 5 47.000 47.000 47.000 0.200 6 46.000 46.000 46.000 0.200 7 65.000 65.000 65.000 0.200 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 180.000 180.000 0.200 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 97.200 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 180.000 +INF . 2 . 134.200 +INF . 3 . 180.000 +INF . 4 . 173.800 +INF . 5 . 133.600 +INF . 6 . 83.400 +INF . 7 . 32.200 +INF . 8 . . +INF -0.200 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . 44.200 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 207.600 +INF . 2 . . +INF EPS 3 . . +INF -0.200 4 . . +INF -0.200 5 . . +INF -0.200 6 . . +INF -0.200 7 . . +INF -0.200 8 . 11.800 +INF . 9 . 50.800 +INF . 10 . 96.800 +INF . 11 . 78.600 +INF . 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 180.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 76 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 38 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 77 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 38 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 98.2000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 98.200000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -44.800 . . 3 -INF . . 0.200 4 -INF -7.200 . . 5 -INF -48.400 . . 6 -INF -99.600 . . 7 -INF -151.800 . . 8 -INF -185.000 . . 9 -INF -185.000 . . 10 -INF -185.000 . . 11 -INF -185.000 . . 12 -INF -134.800 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.200 4 57.000 57.000 57.000 0.200 5 47.000 47.000 47.000 0.200 6 46.000 46.000 46.000 0.200 7 65.000 65.000 65.000 0.200 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 185.000 185.000 0.200 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 98.200 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 185.000 +INF . 2 . 140.200 +INF . 3 . 185.000 +INF . 4 . 177.800 +INF . 5 . 136.600 +INF . 6 . 85.400 +INF . 7 . 33.200 +INF . 8 . . +INF -0.200 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . 50.200 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 205.600 +INF . 2 . . +INF EPS 3 . . +INF -0.200 4 . . +INF -0.200 5 . . +INF -0.200 6 . . +INF -0.200 7 . . +INF -0.200 8 . 10.800 +INF . 9 . 49.800 +INF . 10 . 95.800 +INF . 11 . 71.600 +INF . 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 185.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 78 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 39 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 79 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 39 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 99.2000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 99.200000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -43.800 . . 3 -INF . . 0.200 4 -INF -8.200 . . 5 -INF -50.400 . . 6 -INF -102.600 . . 7 -INF -155.800 . . 8 -INF -190.000 . . 9 -INF -190.000 . . 10 -INF -190.000 . . 11 -INF -190.000 . . 12 -INF -133.800 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.200 4 57.000 57.000 57.000 0.200 5 47.000 47.000 47.000 0.200 6 46.000 46.000 46.000 0.200 7 65.000 65.000 65.000 0.200 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 190.000 190.000 0.200 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 99.200 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 190.000 +INF . 2 . 146.200 +INF . 3 . 190.000 +INF . 4 . 181.800 +INF . 5 . 139.600 +INF . 6 . 87.400 +INF . 7 . 34.200 +INF . 8 . . +INF -0.200 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . 56.200 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 203.600 +INF . 2 . . +INF EPS 3 . . +INF -0.200 4 . . +INF -0.200 5 . . +INF -0.200 6 . . +INF -0.200 7 . . +INF -0.200 8 . 9.800 +INF . 9 . 48.800 +INF . 10 . 94.800 +INF . 11 . 64.600 +INF . 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 190.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 80 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 40 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 81 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 40 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 100.2000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 100.200000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -42.800 . . 3 -INF . . 0.200 4 -INF -9.200 . . 5 -INF -52.400 . . 6 -INF -105.600 . . 7 -INF -159.800 . . 8 -INF -195.000 . . 9 -INF -195.000 . . 10 -INF -195.000 . . 11 -INF -195.000 . . 12 -INF -132.800 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.200 4 57.000 57.000 57.000 0.200 5 47.000 47.000 47.000 0.200 6 46.000 46.000 46.000 0.200 7 65.000 65.000 65.000 0.200 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 195.000 195.000 0.200 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 100.200 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 195.000 +INF . 2 . 152.200 +INF . 3 . 195.000 +INF . 4 . 185.800 +INF . 5 . 142.600 +INF . 6 . 89.400 +INF . 7 . 35.200 +INF . 8 . . +INF -0.200 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . 62.200 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 201.600 +INF . 2 . . +INF EPS 3 . . +INF -0.200 4 . . +INF -0.200 5 . . +INF -0.200 6 . . +INF -0.200 7 . . +INF -0.200 8 . 8.800 +INF . 9 . 47.800 +INF . 10 . 93.800 +INF . 11 . 57.600 +INF . 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 195.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 82 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 41 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 83 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 41 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 101.2000 RESOURCE USAGE, LIMIT 0.020 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 101.200000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -41.800 . . 3 -INF . . 0.200 4 -INF -10.200 . . 5 -INF -54.400 . . 6 -INF -108.600 . . 7 -INF -163.800 . . 8 -INF -200.000 . . 9 -INF -200.000 . . 10 -INF -200.000 . . 11 -INF -200.000 . . 12 -INF -131.800 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.200 4 57.000 57.000 57.000 0.200 5 47.000 47.000 47.000 0.200 6 46.000 46.000 46.000 0.200 7 65.000 65.000 65.000 0.200 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 200.000 200.000 0.200 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 101.200 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 200.000 +INF . 2 . 158.200 +INF . 3 . 200.000 +INF . 4 . 189.800 +INF . 5 . 145.600 +INF . 6 . 91.400 +INF . 7 . 36.200 +INF . 8 . . +INF -0.200 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . 68.200 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 199.600 +INF . 2 . . +INF EPS 3 . . +INF -0.200 4 . . +INF -0.200 5 . . +INF -0.200 6 . . +INF -0.200 7 . . +INF -0.200 8 . 7.800 +INF . 9 . 46.800 +INF . 10 . 92.800 +INF . 11 . 50.600 +INF . 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 200.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 84 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 42 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 85 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 42 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 102.2000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 102.200000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -40.800 . . 3 -INF . . 0.200 4 -INF -11.200 . . 5 -INF -56.400 . . 6 -INF -111.600 . . 7 -INF -167.800 . . 8 -INF -205.000 . . 9 -INF -205.000 . . 10 -INF -205.000 . . 11 -INF -205.000 . . 12 -INF -130.800 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.200 4 57.000 57.000 57.000 0.200 5 47.000 47.000 47.000 0.200 6 46.000 46.000 46.000 0.200 7 65.000 65.000 65.000 0.200 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 205.000 205.000 0.200 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 102.200 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 205.000 +INF . 2 . 164.200 +INF . 3 . 205.000 +INF . 4 . 193.800 +INF . 5 . 148.600 +INF . 6 . 93.400 +INF . 7 . 37.200 +INF . 8 . . +INF -0.200 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . 74.200 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 197.600 +INF . 2 . . +INF EPS 3 . . +INF -0.200 4 . . +INF -0.200 5 . . +INF -0.200 6 . . +INF -0.200 7 . . +INF -0.200 8 . 6.800 +INF . 9 . 45.800 +INF . 10 . 91.800 +INF . 11 . 43.600 +INF . 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 205.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 86 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 43 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 87 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 43 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 103.2000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 103.200000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -39.800 . . 3 -INF . . 0.200 4 -INF -12.200 . . 5 -INF -58.400 . . 6 -INF -114.600 . . 7 -INF -171.800 . . 8 -INF -210.000 . . 9 -INF -210.000 . . 10 -INF -210.000 . . 11 -INF -210.000 . . 12 -INF -129.800 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.200 4 57.000 57.000 57.000 0.200 5 47.000 47.000 47.000 0.200 6 46.000 46.000 46.000 0.200 7 65.000 65.000 65.000 0.200 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 210.000 210.000 0.200 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 103.200 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 210.000 +INF . 2 . 170.200 +INF . 3 . 210.000 +INF . 4 . 197.800 +INF . 5 . 151.600 +INF . 6 . 95.400 +INF . 7 . 38.200 +INF . 8 . . +INF -0.200 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . 80.200 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 195.600 +INF . 2 . . +INF EPS 3 . . +INF -0.200 4 . . +INF -0.200 5 . . +INF -0.200 6 . . +INF -0.200 7 . . +INF -0.200 8 . 5.800 +INF . 9 . 44.800 +INF . 10 . 90.800 +INF . 11 . 36.600 +INF . 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 210.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 88 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 44 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 89 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 44 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 104.2000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 104.200000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -38.800 . . 3 -INF . . 0.200 4 -INF -13.200 . . 5 -INF -60.400 . . 6 -INF -117.600 . . 7 -INF -175.800 . . 8 -INF -215.000 . . 9 -INF -215.000 . . 10 -INF -215.000 . . 11 -INF -215.000 . . 12 -INF -128.800 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.200 4 57.000 57.000 57.000 0.200 5 47.000 47.000 47.000 0.200 6 46.000 46.000 46.000 0.200 7 65.000 65.000 65.000 0.200 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 215.000 215.000 0.200 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 104.200 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 215.000 +INF . 2 . 176.200 +INF . 3 . 215.000 +INF . 4 . 201.800 +INF . 5 . 154.600 +INF . 6 . 97.400 +INF . 7 . 39.200 +INF . 8 . . +INF -0.200 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . 86.200 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 193.600 +INF . 2 . . +INF EPS 3 . . +INF -0.200 4 . . +INF -0.200 5 . . +INF -0.200 6 . . +INF -0.200 7 . . +INF -0.200 8 . 4.800 +INF . 9 . 43.800 +INF . 10 . 89.800 +INF . 11 . 29.600 +INF . 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 215.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 90 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 45 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.051 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.051 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 91 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 45 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 105.2000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 105.200000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -37.800 . . 3 -INF . . 0.200 4 -INF -14.200 . . 5 -INF -62.400 . . 6 -INF -120.600 . . 7 -INF -179.800 . . 8 -INF -220.000 . . 9 -INF -220.000 . . 10 -INF -220.000 . . 11 -INF -220.000 . . 12 -INF -127.800 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.200 4 57.000 57.000 57.000 0.200 5 47.000 47.000 47.000 0.200 6 46.000 46.000 46.000 0.200 7 65.000 65.000 65.000 0.200 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 220.000 220.000 0.200 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 105.200 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 220.000 +INF . 2 . 182.200 +INF . 3 . 220.000 +INF . 4 . 205.800 +INF . 5 . 157.600 +INF . 6 . 99.400 +INF . 7 . 40.200 +INF . 8 . . +INF -0.200 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . 92.200 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 191.600 +INF . 2 . . +INF EPS 3 . . +INF -0.200 4 . . +INF -0.200 5 . . +INF -0.200 6 . . +INF -0.200 7 . . +INF -0.200 8 . 3.800 +INF . 9 . 42.800 +INF . 10 . 88.800 +INF . 11 . 22.600 +INF . 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 220.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 92 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 46 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 93 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 46 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 106.2000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 106.200000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -36.800 . . 3 -INF . . 0.200 4 -INF -15.200 . . 5 -INF -64.400 . . 6 -INF -123.600 . . 7 -INF -183.800 . . 8 -INF -225.000 . . 9 -INF -225.000 . . 10 -INF -225.000 . . 11 -INF -225.000 . . 12 -INF -126.800 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.200 4 57.000 57.000 57.000 0.200 5 47.000 47.000 47.000 0.200 6 46.000 46.000 46.000 0.200 7 65.000 65.000 65.000 0.200 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 225.000 225.000 0.200 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 106.200 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 225.000 +INF . 2 . 188.200 +INF . 3 . 225.000 +INF . 4 . 209.800 +INF . 5 . 160.600 +INF . 6 . 101.400 +INF . 7 . 41.200 +INF . 8 . . +INF -0.200 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . 98.200 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 189.600 +INF . 2 . . +INF EPS 3 . . +INF -0.200 4 . . +INF -0.200 5 . . +INF -0.200 6 . . +INF -0.200 7 . . +INF -0.200 8 . 2.800 +INF . 9 . 41.800 +INF . 10 . 87.800 +INF . 11 . 15.600 +INF . 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 225.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 94 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 47 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 95 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 47 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 107.2000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 107.200000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -35.800 . . 3 -INF . . 0.200 4 -INF -16.200 . . 5 -INF -66.400 . . 6 -INF -126.600 . . 7 -INF -187.800 . . 8 -INF -230.000 . . 9 -INF -230.000 . . 10 -INF -230.000 . . 11 -INF -230.000 . . 12 -INF -125.800 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.200 4 57.000 57.000 57.000 0.200 5 47.000 47.000 47.000 0.200 6 46.000 46.000 46.000 0.200 7 65.000 65.000 65.000 0.200 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 230.000 230.000 0.200 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 107.200 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 230.000 +INF . 2 . 194.200 +INF . 3 . 230.000 +INF . 4 . 213.800 +INF . 5 . 163.600 +INF . 6 . 103.400 +INF . 7 . 42.200 +INF . 8 . . +INF -0.200 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . 104.200 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 187.600 +INF . 2 . . +INF EPS 3 . . +INF -0.200 4 . . +INF -0.200 5 . . +INF -0.200 6 . . +INF -0.200 7 . . +INF -0.200 8 . 1.800 +INF . 9 . 40.800 +INF . 10 . 86.800 +INF . 11 . 8.600 +INF . 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 230.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 96 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 48 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 97 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 48 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 108.2000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 108.200000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -34.800 . . 3 -INF . . 0.200 4 -INF -17.200 . . 5 -INF -68.400 . . 6 -INF -129.600 . . 7 -INF -191.800 . . 8 -INF -235.000 . . 9 -INF -235.000 . . 10 -INF -235.000 . . 11 -INF -235.000 . . 12 -INF -124.800 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.200 4 57.000 57.000 57.000 0.200 5 47.000 47.000 47.000 0.200 6 46.000 46.000 46.000 0.200 7 65.000 65.000 65.000 0.200 8 109.000 109.000 109.000 EPS 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 235.000 235.000 0.200 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 108.200 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 235.000 +INF . 2 . 200.200 +INF . 3 . 235.000 +INF . 4 . 217.800 +INF . 5 . 166.600 +INF . 6 . 105.400 +INF . 7 . 43.200 +INF . 8 . . +INF -0.200 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . 110.200 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 185.600 +INF . 2 . . +INF EPS 3 . . +INF -0.200 4 . . +INF -0.200 5 . . +INF -0.200 6 . . +INF -0.200 7 . . +INF -0.200 8 . 0.800 +INF . 9 . 39.800 +INF . 10 . 85.800 +INF . 11 . 1.600 +INF . 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 235.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 98 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 49 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 99 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 49 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 109.1667 RESOURCE USAGE, LIMIT 0.050 1000.000 ITERATION COUNT, LIMIT 15 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 109.166667 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -33.833 . . 3 -INF . . 0.167 4 -INF -18.167 . . 5 -INF -70.333 . . 6 -INF -132.500 . . 7 -INF -195.667 . . 8 -INF -239.833 . . 9 -INF -240.000 . . 10 -INF -201.167 . . 11 -INF -234.667 . . 12 -INF -123.833 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 240.000 240.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 109.167 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 240.000 +INF . 2 . 206.167 +INF . 3 . 240.000 +INF . 4 . 221.833 +INF . 5 . 169.667 +INF . 6 . 107.500 +INF . 7 . 44.333 +INF . 8 . 0.167 +INF . 9 . . +INF -0.167 10 . 38.833 +INF . 11 . 5.333 +INF . 12 . 116.167 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 183.667 +INF . 2 . . +INF EPS 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . 118.333 +INF . 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 240.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 100 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 50 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 101 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 50 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 110.0000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 110.000000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -33.000 . . 3 -INF . . 0.167 4 -INF -19.000 . . 5 -INF -72.000 . . 6 -INF -135.000 . . 7 -INF -199.000 . . 8 -INF -244.000 . . 9 -INF -245.000 . . 10 -INF -207.000 . . 11 -INF -233.000 . . 12 -INF -123.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 245.000 245.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 110.000 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 245.000 +INF . 2 . 212.000 +INF . 3 . 245.000 +INF . 4 . 226.000 +INF . 5 . 173.000 +INF . 6 . 110.000 +INF . 7 . 46.000 +INF . 8 . 1.000 +INF . 9 . . +INF -0.167 10 . 38.000 +INF . 11 . 12.000 +INF . 12 . 122.000 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 182.000 +INF . 2 . . +INF EPS 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . 110.000 +INF . 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 245.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 102 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 51 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 103 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 51 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 110.8333 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 110.833333 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -32.167 . . 3 -INF . . 0.167 4 -INF -19.833 . . 5 -INF -73.667 . . 6 -INF -137.500 . . 7 -INF -202.333 . . 8 -INF -248.167 . . 9 -INF -250.000 . . 10 -INF -212.833 . . 11 -INF -231.333 . . 12 -INF -122.167 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 250.000 250.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 110.833 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 250.000 +INF . 2 . 217.833 +INF . 3 . 250.000 +INF . 4 . 230.167 +INF . 5 . 176.333 +INF . 6 . 112.500 +INF . 7 . 47.667 +INF . 8 . 1.833 +INF . 9 . . +INF -0.167 10 . 37.167 +INF . 11 . 18.667 +INF . 12 . 127.833 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 180.333 +INF . 2 . . +INF EPS 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . 101.667 +INF . 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 250.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 104 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 52 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 105 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 52 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 111.6667 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 111.666667 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -31.333 . . 3 -INF . . 0.167 4 -INF -20.667 . . 5 -INF -75.333 . . 6 -INF -140.000 . . 7 -INF -205.667 . . 8 -INF -252.333 . . 9 -INF -255.000 . . 10 -INF -218.667 . . 11 -INF -229.667 . . 12 -INF -121.333 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 255.000 255.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 111.667 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 255.000 +INF . 2 . 223.667 +INF . 3 . 255.000 +INF . 4 . 234.333 +INF . 5 . 179.667 +INF . 6 . 115.000 +INF . 7 . 49.333 +INF . 8 . 2.667 +INF . 9 . . +INF -0.167 10 . 36.333 +INF . 11 . 25.333 +INF . 12 . 133.667 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 178.667 +INF . 2 . . +INF EPS 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . 93.333 +INF . 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 255.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 106 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 53 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.070 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 107 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 53 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 112.5000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 112.500000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -30.500 . . 3 -INF . . 0.167 4 -INF -21.500 . . 5 -INF -77.000 . . 6 -INF -142.500 . . 7 -INF -209.000 . . 8 -INF -256.500 . . 9 -INF -260.000 . . 10 -INF -224.500 . . 11 -INF -228.000 . . 12 -INF -120.500 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 260.000 260.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 112.500 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 260.000 +INF . 2 . 229.500 +INF . 3 . 260.000 +INF . 4 . 238.500 +INF . 5 . 183.000 +INF . 6 . 117.500 +INF . 7 . 51.000 +INF . 8 . 3.500 +INF . 9 . . +INF -0.167 10 . 35.500 +INF . 11 . 32.000 +INF . 12 . 139.500 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 177.000 +INF . 2 . . +INF EPS 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . 85.000 +INF . 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 260.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 108 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 54 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.070 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 109 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 54 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 113.3333 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 113.333333 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -29.667 . . 3 -INF . . 0.167 4 -INF -22.333 . . 5 -INF -78.667 . . 6 -INF -145.000 . . 7 -INF -212.333 . . 8 -INF -260.667 . . 9 -INF -265.000 . . 10 -INF -230.333 . . 11 -INF -226.333 . . 12 -INF -119.667 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 265.000 265.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 113.333 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 265.000 +INF . 2 . 235.333 +INF . 3 . 265.000 +INF . 4 . 242.667 +INF . 5 . 186.333 +INF . 6 . 120.000 +INF . 7 . 52.667 +INF . 8 . 4.333 +INF . 9 . . +INF -0.167 10 . 34.667 +INF . 11 . 38.667 +INF . 12 . 145.333 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 175.333 +INF . 2 . . +INF EPS 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . 76.667 +INF . 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 265.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 110 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 55 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 111 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 55 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 114.1667 RESOURCE USAGE, LIMIT 0.000 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 114.166667 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -28.833 . . 3 -INF . . 0.167 4 -INF -23.167 . . 5 -INF -80.333 . . 6 -INF -147.500 . . 7 -INF -215.667 . . 8 -INF -264.833 . . 9 -INF -270.000 . . 10 -INF -236.167 . . 11 -INF -224.667 . . 12 -INF -118.833 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 270.000 270.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 114.167 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 270.000 +INF . 2 . 241.167 +INF . 3 . 270.000 +INF . 4 . 246.833 +INF . 5 . 189.667 +INF . 6 . 122.500 +INF . 7 . 54.333 +INF . 8 . 5.167 +INF . 9 . . +INF -0.167 10 . 33.833 +INF . 11 . 45.333 +INF . 12 . 151.167 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 173.667 +INF . 2 . . +INF EPS 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . 68.333 +INF . 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 270.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 112 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 56 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 113 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 56 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 115.0000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 115.000000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -28.000 . . 3 -INF . . 0.167 4 -INF -24.000 . . 5 -INF -82.000 . . 6 -INF -150.000 . . 7 -INF -219.000 . . 8 -INF -269.000 . . 9 -INF -275.000 . . 10 -INF -242.000 . . 11 -INF -223.000 . . 12 -INF -118.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 275.000 275.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 115.000 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 275.000 +INF . 2 . 247.000 +INF . 3 . 275.000 +INF . 4 . 251.000 +INF . 5 . 193.000 +INF . 6 . 125.000 +INF . 7 . 56.000 +INF . 8 . 6.000 +INF . 9 . . +INF -0.167 10 . 33.000 +INF . 11 . 52.000 +INF . 12 . 157.000 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 172.000 +INF . 2 . . +INF EPS 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . 60.000 +INF . 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 275.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 114 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 57 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 115 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 57 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 115.8333 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 115.833333 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -27.167 . . 3 -INF . . 0.167 4 -INF -24.833 . . 5 -INF -83.667 . . 6 -INF -152.500 . . 7 -INF -222.333 . . 8 -INF -273.167 . . 9 -INF -280.000 . . 10 -INF -247.833 . . 11 -INF -221.333 . . 12 -INF -117.167 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 280.000 280.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 115.833 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 280.000 +INF . 2 . 252.833 +INF . 3 . 280.000 +INF . 4 . 255.167 +INF . 5 . 196.333 +INF . 6 . 127.500 +INF . 7 . 57.667 +INF . 8 . 6.833 +INF . 9 . . +INF -0.167 10 . 32.167 +INF . 11 . 58.667 +INF . 12 . 162.833 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 170.333 +INF . 2 . . +INF EPS 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . 51.667 +INF . 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 280.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 116 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 58 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 117 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 58 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 116.6667 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 116.666667 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -26.333 . . 3 -INF . . 0.167 4 -INF -25.667 . . 5 -INF -85.333 . . 6 -INF -155.000 . . 7 -INF -225.667 . . 8 -INF -277.333 . . 9 -INF -285.000 . . 10 -INF -253.667 . . 11 -INF -219.667 . . 12 -INF -116.333 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 285.000 285.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 116.667 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 285.000 +INF . 2 . 258.667 +INF . 3 . 285.000 +INF . 4 . 259.333 +INF . 5 . 199.667 +INF . 6 . 130.000 +INF . 7 . 59.333 +INF . 8 . 7.667 +INF . 9 . . +INF -0.167 10 . 31.333 +INF . 11 . 65.333 +INF . 12 . 168.667 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 168.667 +INF . 2 . . +INF EPS 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . 43.333 +INF . 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 285.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 118 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 59 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.080 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.200 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 119 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 59 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 117.5000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 117.500000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -25.500 . . 3 -INF . . 0.167 4 -INF -26.500 . . 5 -INF -87.000 . . 6 -INF -157.500 . . 7 -INF -229.000 . . 8 -INF -281.500 . . 9 -INF -290.000 . . 10 -INF -259.500 . . 11 -INF -218.000 . . 12 -INF -115.500 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 290.000 290.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 117.500 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 290.000 +INF . 2 . 264.500 +INF . 3 . 290.000 +INF . 4 . 263.500 +INF . 5 . 203.000 +INF . 6 . 132.500 +INF . 7 . 61.000 +INF . 8 . 8.500 +INF . 9 . . +INF -0.167 10 . 30.500 +INF . 11 . 72.000 +INF . 12 . 174.500 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 167.000 +INF . 2 . . +INF EPS 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . 35.000 +INF . 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 290.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 120 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 60 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 121 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 60 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 118.3333 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 118.333333 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -24.667 . . 3 -INF . . 0.167 4 -INF -27.333 . . 5 -INF -88.667 . . 6 -INF -160.000 . . 7 -INF -232.333 . . 8 -INF -285.667 . . 9 -INF -295.000 . . 10 -INF -265.333 . . 11 -INF -216.333 . . 12 -INF -114.667 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 295.000 295.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 118.333 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 295.000 +INF . 2 . 270.333 +INF . 3 . 295.000 +INF . 4 . 267.667 +INF . 5 . 206.333 +INF . 6 . 135.000 +INF . 7 . 62.667 +INF . 8 . 9.333 +INF . 9 . . +INF -0.167 10 . 29.667 +INF . 11 . 78.667 +INF . 12 . 180.333 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 165.333 +INF . 2 . . +INF EPS 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . 26.667 +INF . 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 295.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 122 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 61 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 123 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 61 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 119.1667 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 119.166667 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -23.833 . . 3 -INF . . 0.167 4 -INF -28.167 . . 5 -INF -90.333 . . 6 -INF -162.500 . . 7 -INF -235.667 . . 8 -INF -289.833 . . 9 -INF -300.000 . . 10 -INF -271.167 . . 11 -INF -214.667 . . 12 -INF -113.833 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 300.000 300.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 119.167 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 300.000 +INF . 2 . 276.167 +INF . 3 . 300.000 +INF . 4 . 271.833 +INF . 5 . 209.667 +INF . 6 . 137.500 +INF . 7 . 64.333 +INF . 8 . 10.167 +INF . 9 . . +INF -0.167 10 . 28.833 +INF . 11 . 85.333 +INF . 12 . 186.167 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 163.667 +INF . 2 . . +INF EPS 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . 18.333 +INF . 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 300.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 124 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 62 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 125 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 62 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 120.0000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 120.000000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -23.000 . . 3 -INF . . 0.167 4 -INF -29.000 . . 5 -INF -92.000 . . 6 -INF -165.000 . . 7 -INF -239.000 . . 8 -INF -294.000 . . 9 -INF -305.000 . . 10 -INF -277.000 . . 11 -INF -213.000 . . 12 -INF -113.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 305.000 305.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 120.000 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 305.000 +INF . 2 . 282.000 +INF . 3 . 305.000 +INF . 4 . 276.000 +INF . 5 . 213.000 +INF . 6 . 140.000 +INF . 7 . 66.000 +INF . 8 . 11.000 +INF . 9 . . +INF -0.167 10 . 28.000 +INF . 11 . 92.000 +INF . 12 . 192.000 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 162.000 +INF . 2 . . +INF EPS 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . 10.000 +INF . 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 305.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 126 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 63 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 127 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 63 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 120.8333 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 120.833333 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF . . EPS 2 -INF -22.167 . . 3 -INF . . 0.167 4 -INF -29.833 . . 5 -INF -93.667 . . 6 -INF -167.500 . . 7 -INF -242.333 . . 8 -INF -298.167 . . 9 -INF -310.000 . . 10 -INF -282.833 . . 11 -INF -211.333 . . 12 -INF -112.167 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 310.000 310.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 120.833 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 310.000 +INF . 2 . 287.833 +INF . 3 . 310.000 +INF . 4 . 280.167 +INF . 5 . 216.333 +INF . 6 . 142.500 +INF . 7 . 67.667 +INF . 8 . 11.833 +INF . 9 . . +INF -0.167 10 . 27.167 +INF . 11 . 98.667 +INF . 12 . 197.833 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 160.333 +INF . 2 . . +INF EPS 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . 1.667 +INF . 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 310.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 128 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 64 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 129 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 64 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 121.6667 RESOURCE USAGE, LIMIT 0.060 1000.000 ITERATION COUNT, LIMIT 14 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 121.666667 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -6.667 . . 2 -INF . . EPS 3 -INF . . 0.167 4 -INF -30.667 . . 5 -INF -95.333 . . 6 -INF -170.000 . . 7 -INF -245.667 . . 8 -INF -302.333 . . 9 -INF -315.000 . . 10 -INF -288.667 . . 11 -INF -216.333 . . 12 -INF -118.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 315.000 315.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 121.667 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 308.333 +INF . 2 . 315.000 +INF . 3 . 315.000 +INF . 4 . 284.333 +INF . 5 . 219.667 +INF . 6 . 145.000 +INF . 7 . 69.333 +INF . 8 . 12.667 +INF . 9 . . +INF -0.167 10 . 26.333 +INF . 11 . 98.667 +INF . 12 . 197.000 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 130.667 +INF . 2 . 21.333 +INF . 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 315.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 130 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 65 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 131 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 65 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 122.5000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 122.500000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -15.000 . . 2 -INF . . EPS 3 -INF . . 0.167 4 -INF -31.500 . . 5 -INF -97.000 . . 6 -INF -172.500 . . 7 -INF -249.000 . . 8 -INF -306.500 . . 9 -INF -320.000 . . 10 -INF -294.500 . . 11 -INF -223.000 . . 12 -INF -125.500 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 320.000 320.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 122.500 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 305.000 +INF . 2 . 320.000 +INF . 3 . 320.000 +INF . 4 . 288.500 +INF . 5 . 223.000 +INF . 6 . 147.500 +INF . 7 . 71.000 +INF . 8 . 13.500 +INF . 9 . . +INF -0.167 10 . 25.500 +INF . 11 . 97.000 +INF . 12 . 194.500 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 121.500 +INF . 2 . 20.500 +INF . 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 320.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 132 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 66 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 133 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 66 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 123.3333 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 123.333333 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -23.333 . . 2 -INF . . EPS 3 -INF . . 0.167 4 -INF -32.333 . . 5 -INF -98.667 . . 6 -INF -175.000 . . 7 -INF -252.333 . . 8 -INF -310.667 . . 9 -INF -325.000 . . 10 -INF -300.333 . . 11 -INF -229.667 . . 12 -INF -133.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 325.000 325.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 123.333 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 301.667 +INF . 2 . 325.000 +INF . 3 . 325.000 +INF . 4 . 292.667 +INF . 5 . 226.333 +INF . 6 . 150.000 +INF . 7 . 72.667 +INF . 8 . 14.333 +INF . 9 . . +INF -0.167 10 . 24.667 +INF . 11 . 95.333 +INF . 12 . 192.000 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 112.333 +INF . 2 . 19.667 +INF . 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 325.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 134 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 67 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 135 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 67 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 124.1667 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 124.166667 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -31.667 . . 2 -INF . . EPS 3 -INF . . 0.167 4 -INF -33.167 . . 5 -INF -100.333 . . 6 -INF -177.500 . . 7 -INF -255.667 . . 8 -INF -314.833 . . 9 -INF -330.000 . . 10 -INF -306.167 . . 11 -INF -236.333 . . 12 -INF -140.500 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 330.000 330.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 124.167 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 298.333 +INF . 2 . 330.000 +INF . 3 . 330.000 +INF . 4 . 296.833 +INF . 5 . 229.667 +INF . 6 . 152.500 +INF . 7 . 74.333 +INF . 8 . 15.167 +INF . 9 . . +INF -0.167 10 . 23.833 +INF . 11 . 93.667 +INF . 12 . 189.500 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 103.167 +INF . 2 . 18.833 +INF . 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 330.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 136 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 68 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 137 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 68 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 125.0000 RESOURCE USAGE, LIMIT 0.040 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 125.000000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -40.000 . . 2 -INF . . EPS 3 -INF . . 0.167 4 -INF -34.000 . . 5 -INF -102.000 . . 6 -INF -180.000 . . 7 -INF -259.000 . . 8 -INF -319.000 . . 9 -INF -335.000 . . 10 -INF -312.000 . . 11 -INF -243.000 . . 12 -INF -148.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 335.000 335.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 125.000 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 295.000 +INF . 2 . 335.000 +INF . 3 . 335.000 +INF . 4 . 301.000 +INF . 5 . 233.000 +INF . 6 . 155.000 +INF . 7 . 76.000 +INF . 8 . 16.000 +INF . 9 . . +INF -0.167 10 . 23.000 +INF . 11 . 92.000 +INF . 12 . 187.000 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 94.000 +INF . 2 . 18.000 +INF . 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 335.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 138 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 69 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 139 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 69 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 125.8333 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 125.833333 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -48.333 . . 2 -INF . . EPS 3 -INF . . 0.167 4 -INF -34.833 . . 5 -INF -103.667 . . 6 -INF -182.500 . . 7 -INF -262.333 . . 8 -INF -323.167 . . 9 -INF -340.000 . . 10 -INF -317.833 . . 11 -INF -249.667 . . 12 -INF -155.500 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 340.000 340.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 125.833 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 291.667 +INF . 2 . 340.000 +INF . 3 . 340.000 +INF . 4 . 305.167 +INF . 5 . 236.333 +INF . 6 . 157.500 +INF . 7 . 77.667 +INF . 8 . 16.833 +INF . 9 . . +INF -0.167 10 . 22.167 +INF . 11 . 90.333 +INF . 12 . 184.500 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 84.833 +INF . 2 . 17.167 +INF . 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 340.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 140 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 70 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 141 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 70 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 126.6667 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 126.666667 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -56.667 . . 2 -INF . . EPS 3 -INF . . 0.167 4 -INF -35.667 . . 5 -INF -105.333 . . 6 -INF -185.000 . . 7 -INF -265.667 . . 8 -INF -327.333 . . 9 -INF -345.000 . . 10 -INF -323.667 . . 11 -INF -256.333 . . 12 -INF -163.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 345.000 345.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 126.667 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 288.333 +INF . 2 . 345.000 +INF . 3 . 345.000 +INF . 4 . 309.333 +INF . 5 . 239.667 +INF . 6 . 160.000 +INF . 7 . 79.333 +INF . 8 . 17.667 +INF . 9 . . +INF -0.167 10 . 21.333 +INF . 11 . 88.667 +INF . 12 . 182.000 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 75.667 +INF . 2 . 16.333 +INF . 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 345.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 142 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 71 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 143 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 71 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 127.5000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 127.500000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -65.000 . . 2 -INF . . EPS 3 -INF . . 0.167 4 -INF -36.500 . . 5 -INF -107.000 . . 6 -INF -187.500 . . 7 -INF -269.000 . . 8 -INF -331.500 . . 9 -INF -350.000 . . 10 -INF -329.500 . . 11 -INF -263.000 . . 12 -INF -170.500 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 350.000 350.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 127.500 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 285.000 +INF . 2 . 350.000 +INF . 3 . 350.000 +INF . 4 . 313.500 +INF . 5 . 243.000 +INF . 6 . 162.500 +INF . 7 . 81.000 +INF . 8 . 18.500 +INF . 9 . . +INF -0.167 10 . 20.500 +INF . 11 . 87.000 +INF . 12 . 179.500 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 66.500 +INF . 2 . 15.500 +INF . 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 350.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 144 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 72 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 145 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 72 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 128.3333 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 128.333333 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -73.333 . . 2 -INF . . EPS 3 -INF . . 0.167 4 -INF -37.333 . . 5 -INF -108.667 . . 6 -INF -190.000 . . 7 -INF -272.333 . . 8 -INF -335.667 . . 9 -INF -355.000 . . 10 -INF -335.333 . . 11 -INF -269.667 . . 12 -INF -178.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 355.000 355.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 128.333 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 281.667 +INF . 2 . 355.000 +INF . 3 . 355.000 +INF . 4 . 317.667 +INF . 5 . 246.333 +INF . 6 . 165.000 +INF . 7 . 82.667 +INF . 8 . 19.333 +INF . 9 . . +INF -0.167 10 . 19.667 +INF . 11 . 85.333 +INF . 12 . 177.000 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 57.333 +INF . 2 . 14.667 +INF . 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 355.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 146 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 73 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 147 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 73 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 129.1667 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 129.166667 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -81.667 . . 2 -INF . . EPS 3 -INF . . 0.167 4 -INF -38.167 . . 5 -INF -110.333 . . 6 -INF -192.500 . . 7 -INF -275.667 . . 8 -INF -339.833 . . 9 -INF -360.000 . . 10 -INF -341.167 . . 11 -INF -276.333 . . 12 -INF -185.500 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 360.000 360.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 129.167 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 278.333 +INF . 2 . 360.000 +INF . 3 . 360.000 +INF . 4 . 321.833 +INF . 5 . 249.667 +INF . 6 . 167.500 +INF . 7 . 84.333 +INF . 8 . 20.167 +INF . 9 . . +INF -0.167 10 . 18.833 +INF . 11 . 83.667 +INF . 12 . 174.500 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 48.167 +INF . 2 . 13.833 +INF . 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 360.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 148 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 74 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.061 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.061 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 149 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 74 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 130.0000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 130.000000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -90.000 . . 2 -INF . . EPS 3 -INF . . 0.167 4 -INF -39.000 . . 5 -INF -112.000 . . 6 -INF -195.000 . . 7 -INF -279.000 . . 8 -INF -344.000 . . 9 -INF -365.000 . . 10 -INF -347.000 . . 11 -INF -283.000 . . 12 -INF -193.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 365.000 365.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 130.000 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 275.000 +INF . 2 . 365.000 +INF . 3 . 365.000 +INF . 4 . 326.000 +INF . 5 . 253.000 +INF . 6 . 170.000 +INF . 7 . 86.000 +INF . 8 . 21.000 +INF . 9 . . +INF -0.167 10 . 18.000 +INF . 11 . 82.000 +INF . 12 . 172.000 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 39.000 +INF . 2 . 13.000 +INF . 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 365.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 150 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 75 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 151 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 75 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 130.8333 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 130.833333 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -98.333 . . 2 -INF . . EPS 3 -INF . . 0.167 4 -INF -39.833 . . 5 -INF -113.667 . . 6 -INF -197.500 . . 7 -INF -282.333 . . 8 -INF -348.167 . . 9 -INF -370.000 . . 10 -INF -352.833 . . 11 -INF -289.667 . . 12 -INF -200.500 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 370.000 370.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 130.833 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 271.667 +INF . 2 . 370.000 +INF . 3 . 370.000 +INF . 4 . 330.167 +INF . 5 . 256.333 +INF . 6 . 172.500 +INF . 7 . 87.667 +INF . 8 . 21.833 +INF . 9 . . +INF -0.167 10 . 17.167 +INF . 11 . 80.333 +INF . 12 . 169.500 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 29.833 +INF . 2 . 12.167 +INF . 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 370.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 152 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 76 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 153 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 76 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 131.6667 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 131.666667 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -106.667 . . 2 -INF . . EPS 3 -INF . . 0.167 4 -INF -40.667 . . 5 -INF -115.333 . . 6 -INF -200.000 . . 7 -INF -285.667 . . 8 -INF -352.333 . . 9 -INF -375.000 . . 10 -INF -358.667 . . 11 -INF -296.333 . . 12 -INF -208.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 375.000 375.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 131.667 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 268.333 +INF . 2 . 375.000 +INF . 3 . 375.000 +INF . 4 . 334.333 +INF . 5 . 259.667 +INF . 6 . 175.000 +INF . 7 . 89.333 +INF . 8 . 22.667 +INF . 9 . . +INF -0.167 10 . 16.333 +INF . 11 . 78.667 +INF . 12 . 167.000 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 20.667 +INF . 2 . 11.333 +INF . 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 375.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 154 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 77 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 155 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 77 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 132.5000 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 132.500000 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -115.000 . . 2 -INF . . EPS 3 -INF . . 0.167 4 -INF -41.500 . . 5 -INF -117.000 . . 6 -INF -202.500 . . 7 -INF -289.000 . . 8 -INF -356.500 . . 9 -INF -380.000 . . 10 -INF -364.500 . . 11 -INF -303.000 . . 12 -INF -215.500 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 380.000 380.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 132.500 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 265.000 +INF . 2 . 380.000 +INF . 3 . 380.000 +INF . 4 . 338.500 +INF . 5 . 263.000 +INF . 6 . 177.500 +INF . 7 . 91.000 +INF . 8 . 23.500 +INF . 9 . . +INF -0.167 10 . 15.500 +INF . 11 . 77.000 +INF . 12 . 164.500 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 11.500 +INF . 2 . 10.500 +INF . 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 380.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 156 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 78 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 157 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 78 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 133.3333 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 133.333333 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -123.333 . . 2 -INF . . EPS 3 -INF . . 0.167 4 -INF -42.333 . . 5 -INF -118.667 . . 6 -INF -205.000 . . 7 -INF -292.333 . . 8 -INF -360.667 . . 9 -INF -385.000 . . 10 -INF -370.333 . . 11 -INF -309.667 . . 12 -INF -223.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 385.000 385.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 133.333 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 261.667 +INF . 2 . 385.000 +INF . 3 . 385.000 +INF . 4 . 342.667 +INF . 5 . 266.333 +INF . 6 . 180.000 +INF . 7 . 92.667 +INF . 8 . 24.333 +INF . 9 . . +INF -0.167 10 . 14.667 +INF . 11 . 75.333 +INF . 12 . 162.000 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 2.333 +INF . 2 . 9.667 +INF . 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 385.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 158 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 79 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 159 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 79 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 134.1667 RESOURCE USAGE, LIMIT 0.070 1000.000 ITERATION COUNT, LIMIT 13 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 134.166667 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -131.667 . . 2 -INF -6.833 . . 3 -INF . . 0.167 4 -INF -43.167 . . 5 -INF -120.333 . . 6 -INF -207.500 . . 7 -INF -295.667 . . 8 -INF -364.833 . . 9 -INF -390.000 . . 10 -INF -376.167 . . 11 -INF -316.333 . . 12 -INF -230.500 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 EPS 2 143.000 143.000 143.000 EPS 3 91.000 91.000 91.000 0.167 4 57.000 57.000 57.000 0.167 5 47.000 47.000 47.000 0.167 6 46.000 46.000 46.000 0.167 7 65.000 65.000 65.000 0.167 8 109.000 109.000 109.000 0.167 9 148.000 148.000 148.000 EPS 10 194.000 194.000 194.000 EPS 11 220.000 220.000 220.000 EPS 12 233.000 233.000 233.000 EPS LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 390.000 390.000 0.167 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 134.167 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 258.333 +INF . 2 . 383.167 +INF . 3 . 390.000 +INF . 4 . 346.833 +INF . 5 . 269.667 +INF . 6 . 182.500 +INF . 7 . 94.333 +INF . 8 . 25.167 +INF . 9 . . +INF -0.167 10 . 13.833 +INF . 11 . 73.667 +INF . 12 . 159.500 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF EPS 2 . 2.000 +INF . 3 . . +INF -0.167 4 . . +INF -0.167 5 . . +INF -0.167 6 . . +INF -0.167 7 . . +INF -0.167 8 . . +INF -0.167 9 . . +INF EPS 10 . . +INF EPS 11 . . +INF EPS 12 . . +INF EPS LOWER LEVEL UPPER MARGINAL ---- VAR v . 390.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 160 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 80 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 161 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 80 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 134.3333 RESOURCE USAGE, LIMIT 0.050 1000.000 ITERATION COUNT, LIMIT 12 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 134.333333 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -133.333 . . 2 -INF -8.667 . . 3 -INF . . -6.94E-17 4 -INF -43.333 . . 5 -INF -120.667 . . 6 -INF -208.000 . . 7 -INF -296.333 . . 8 -INF -365.667 . . 9 -INF -391.000 . . 10 -INF -377.333 . . 11 -INF -317.667 . . 12 -INF -232.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 0.083 2 143.000 143.000 143.000 0.083 3 91.000 91.000 91.000 0.083 4 57.000 57.000 57.000 0.083 5 47.000 47.000 47.000 0.083 6 46.000 46.000 46.000 0.083 7 65.000 65.000 65.000 0.083 8 109.000 109.000 109.000 0.083 9 148.000 148.000 148.000 0.083 10 194.000 194.000 194.000 0.083 11 220.000 220.000 220.000 0.083 12 233.000 233.000 233.000 0.083 LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 395.000 395.000 -6.94E-17 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 134.333 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 261.667 +INF . 2 . 386.333 +INF . 3 . 395.000 +INF . 4 . 351.667 +INF . 5 . 274.333 +INF . 6 . 187.000 +INF . 7 . 98.667 +INF . 8 . 29.333 +INF . 9 . 4.000 +INF . 10 . 17.667 +INF . 11 . 77.333 +INF . 12 . 163.000 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF -0.083 2 . . +INF -0.083 3 . . +INF -0.083 4 . . +INF -0.083 5 . . +INF -0.083 6 . . +INF -0.083 7 . . +INF -0.083 8 . . +INF -0.083 9 . . +INF -0.083 10 . . +INF -0.083 11 . . +INF -0.083 12 . . +INF -0.083 LOWER LEVEL UPPER MARGINAL ---- VAR v . 395.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 162 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 81 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.040 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 163 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 81 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 134.3333 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 134.333333 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -133.333 . . 2 -INF -8.667 . . 3 -INF . . -6.94E-17 4 -INF -43.333 . . 5 -INF -120.667 . . 6 -INF -208.000 . . 7 -INF -296.333 . . 8 -INF -365.667 . . 9 -INF -391.000 . . 10 -INF -377.333 . . 11 -INF -317.667 . . 12 -INF -232.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 0.083 2 143.000 143.000 143.000 0.083 3 91.000 91.000 91.000 0.083 4 57.000 57.000 57.000 0.083 5 47.000 47.000 47.000 0.083 6 46.000 46.000 46.000 0.083 7 65.000 65.000 65.000 0.083 8 109.000 109.000 109.000 0.083 9 148.000 148.000 148.000 0.083 10 194.000 194.000 194.000 0.083 11 220.000 220.000 220.000 0.083 12 233.000 233.000 233.000 0.083 LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 400.000 400.000 -6.94E-17 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 134.333 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 266.667 +INF . 2 . 391.333 +INF . 3 . 400.000 +INF . 4 . 356.667 +INF . 5 . 279.333 +INF . 6 . 192.000 +INF . 7 . 103.667 +INF . 8 . 34.333 +INF . 9 . 9.000 +INF . 10 . 22.667 +INF . 11 . 82.333 +INF . 12 . 168.000 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF -0.083 2 . . +INF -0.083 3 . . +INF -0.083 4 . . +INF -0.083 5 . . +INF -0.083 6 . . +INF -0.083 7 . . +INF -0.083 8 . . +INF -0.083 9 . . +INF -0.083 10 . . +INF -0.083 11 . . +INF -0.083 12 . . +INF -0.083 LOWER LEVEL UPPER MARGINAL ---- VAR v . 400.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 164 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 82 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.051 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.051 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 165 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 82 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 134.3333 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 134.333333 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -133.333 . . 2 -INF -8.667 . . 3 -INF . . -6.94E-17 4 -INF -43.333 . . 5 -INF -120.667 . . 6 -INF -208.000 . . 7 -INF -296.333 . . 8 -INF -365.667 . . 9 -INF -391.000 . . 10 -INF -377.333 . . 11 -INF -317.667 . . 12 -INF -232.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 0.083 2 143.000 143.000 143.000 0.083 3 91.000 91.000 91.000 0.083 4 57.000 57.000 57.000 0.083 5 47.000 47.000 47.000 0.083 6 46.000 46.000 46.000 0.083 7 65.000 65.000 65.000 0.083 8 109.000 109.000 109.000 0.083 9 148.000 148.000 148.000 0.083 10 194.000 194.000 194.000 0.083 11 220.000 220.000 220.000 0.083 12 233.000 233.000 233.000 0.083 LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 405.000 405.000 -6.94E-17 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 134.333 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 271.667 +INF . 2 . 396.333 +INF . 3 . 405.000 +INF . 4 . 361.667 +INF . 5 . 284.333 +INF . 6 . 197.000 +INF . 7 . 108.667 +INF . 8 . 39.333 +INF . 9 . 14.000 +INF . 10 . 27.667 +INF . 11 . 87.333 +INF . 12 . 173.000 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF -0.083 2 . . +INF -0.083 3 . . +INF -0.083 4 . . +INF -0.083 5 . . +INF -0.083 6 . . +INF -0.083 7 . . +INF -0.083 8 . . +INF -0.083 9 . . +INF -0.083 10 . . +INF -0.083 11 . . +INF -0.083 12 . . +INF -0.083 LOWER LEVEL UPPER MARGINAL ---- VAR v . 405.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 166 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 83 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 167 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 83 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 134.3333 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 134.333333 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -133.333 . . 2 -INF -8.667 . . 3 -INF . . -6.94E-17 4 -INF -43.333 . . 5 -INF -120.667 . . 6 -INF -208.000 . . 7 -INF -296.333 . . 8 -INF -365.667 . . 9 -INF -391.000 . . 10 -INF -377.333 . . 11 -INF -317.667 . . 12 -INF -232.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 0.083 2 143.000 143.000 143.000 0.083 3 91.000 91.000 91.000 0.083 4 57.000 57.000 57.000 0.083 5 47.000 47.000 47.000 0.083 6 46.000 46.000 46.000 0.083 7 65.000 65.000 65.000 0.083 8 109.000 109.000 109.000 0.083 9 148.000 148.000 148.000 0.083 10 194.000 194.000 194.000 0.083 11 220.000 220.000 220.000 0.083 12 233.000 233.000 233.000 0.083 LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 410.000 410.000 -6.94E-17 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 134.333 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 276.667 +INF . 2 . 401.333 +INF . 3 . 410.000 +INF . 4 . 366.667 +INF . 5 . 289.333 +INF . 6 . 202.000 +INF . 7 . 113.667 +INF . 8 . 44.333 +INF . 9 . 19.000 +INF . 10 . 32.667 +INF . 11 . 92.333 +INF . 12 . 178.000 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF -0.083 2 . . +INF -0.083 3 . . +INF -0.083 4 . . +INF -0.083 5 . . +INF -0.083 6 . . +INF -0.083 7 . . +INF -0.083 8 . . +INF -0.083 9 . . +INF -0.083 10 . . +INF -0.083 11 . . +INF -0.083 12 . . +INF -0.083 LOWER LEVEL UPPER MARGINAL ---- VAR v . 410.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 168 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 84 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 169 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 84 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 134.3333 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 134.333333 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -133.333 . . 2 -INF -8.667 . . 3 -INF . . -6.94E-17 4 -INF -43.333 . . 5 -INF -120.667 . . 6 -INF -208.000 . . 7 -INF -296.333 . . 8 -INF -365.667 . . 9 -INF -391.000 . . 10 -INF -377.333 . . 11 -INF -317.667 . . 12 -INF -232.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 0.083 2 143.000 143.000 143.000 0.083 3 91.000 91.000 91.000 0.083 4 57.000 57.000 57.000 0.083 5 47.000 47.000 47.000 0.083 6 46.000 46.000 46.000 0.083 7 65.000 65.000 65.000 0.083 8 109.000 109.000 109.000 0.083 9 148.000 148.000 148.000 0.083 10 194.000 194.000 194.000 0.083 11 220.000 220.000 220.000 0.083 12 233.000 233.000 233.000 0.083 LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 415.000 415.000 -6.94E-17 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 134.333 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 281.667 +INF . 2 . 406.333 +INF . 3 . 415.000 +INF . 4 . 371.667 +INF . 5 . 294.333 +INF . 6 . 207.000 +INF . 7 . 118.667 +INF . 8 . 49.333 +INF . 9 . 24.000 +INF . 10 . 37.667 +INF . 11 . 97.333 +INF . 12 . 183.000 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF -0.083 2 . . +INF -0.083 3 . . +INF -0.083 4 . . +INF -0.083 5 . . +INF -0.083 6 . . +INF -0.083 7 . . +INF -0.083 8 . . +INF -0.083 9 . . +INF -0.083 10 . . +INF -0.083 11 . . +INF -0.083 12 . . +INF -0.083 LOWER LEVEL UPPER MARGINAL ---- VAR v . 415.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 170 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 85 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 171 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 85 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 134.3333 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 134.333333 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -133.333 . . 2 -INF -8.667 . . 3 -INF . . -6.94E-17 4 -INF -43.333 . . 5 -INF -120.667 . . 6 -INF -208.000 . . 7 -INF -296.333 . . 8 -INF -365.667 . . 9 -INF -391.000 . . 10 -INF -377.333 . . 11 -INF -317.667 . . 12 -INF -232.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 0.083 2 143.000 143.000 143.000 0.083 3 91.000 91.000 91.000 0.083 4 57.000 57.000 57.000 0.083 5 47.000 47.000 47.000 0.083 6 46.000 46.000 46.000 0.083 7 65.000 65.000 65.000 0.083 8 109.000 109.000 109.000 0.083 9 148.000 148.000 148.000 0.083 10 194.000 194.000 194.000 0.083 11 220.000 220.000 220.000 0.083 12 233.000 233.000 233.000 0.083 LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 420.000 420.000 -6.94E-17 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 134.333 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 286.667 +INF . 2 . 411.333 +INF . 3 . 420.000 +INF . 4 . 376.667 +INF . 5 . 299.333 +INF . 6 . 212.000 +INF . 7 . 123.667 +INF . 8 . 54.333 +INF . 9 . 29.000 +INF . 10 . 42.667 +INF . 11 . 102.333 +INF . 12 . 188.000 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF -0.083 2 . . +INF -0.083 3 . . +INF -0.083 4 . . +INF -0.083 5 . . +INF -0.083 6 . . +INF -0.083 7 . . +INF -0.083 8 . . +INF -0.083 9 . . +INF -0.083 10 . . +INF -0.083 11 . . +INF -0.083 12 . . +INF -0.083 LOWER LEVEL UPPER MARGINAL ---- VAR v . 420.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 172 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 86 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 173 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 86 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 134.3333 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 134.333333 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -133.333 . . 2 -INF -8.667 . . 3 -INF . . -6.94E-17 4 -INF -43.333 . . 5 -INF -120.667 . . 6 -INF -208.000 . . 7 -INF -296.333 . . 8 -INF -365.667 . . 9 -INF -391.000 . . 10 -INF -377.333 . . 11 -INF -317.667 . . 12 -INF -232.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 0.083 2 143.000 143.000 143.000 0.083 3 91.000 91.000 91.000 0.083 4 57.000 57.000 57.000 0.083 5 47.000 47.000 47.000 0.083 6 46.000 46.000 46.000 0.083 7 65.000 65.000 65.000 0.083 8 109.000 109.000 109.000 0.083 9 148.000 148.000 148.000 0.083 10 194.000 194.000 194.000 0.083 11 220.000 220.000 220.000 0.083 12 233.000 233.000 233.000 0.083 LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 425.000 425.000 -6.94E-17 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 134.333 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 291.667 +INF . 2 . 416.333 +INF . 3 . 425.000 +INF . 4 . 381.667 +INF . 5 . 304.333 +INF . 6 . 217.000 +INF . 7 . 128.667 +INF . 8 . 59.333 +INF . 9 . 34.000 +INF . 10 . 47.667 +INF . 11 . 107.333 +INF . 12 . 193.000 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF -0.083 2 . . +INF -0.083 3 . . +INF -0.083 4 . . +INF -0.083 5 . . +INF -0.083 6 . . +INF -0.083 7 . . +INF -0.083 8 . . +INF -0.083 9 . . +INF -0.083 10 . . +INF -0.083 11 . . +INF -0.083 12 . . +INF -0.083 LOWER LEVEL UPPER MARGINAL ---- VAR v . 425.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 174 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 87 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 175 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 87 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 134.3333 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 134.333333 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -133.333 . . 2 -INF -8.667 . . 3 -INF . . -6.94E-17 4 -INF -43.333 . . 5 -INF -120.667 . . 6 -INF -208.000 . . 7 -INF -296.333 . . 8 -INF -365.667 . . 9 -INF -391.000 . . 10 -INF -377.333 . . 11 -INF -317.667 . . 12 -INF -232.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 0.083 2 143.000 143.000 143.000 0.083 3 91.000 91.000 91.000 0.083 4 57.000 57.000 57.000 0.083 5 47.000 47.000 47.000 0.083 6 46.000 46.000 46.000 0.083 7 65.000 65.000 65.000 0.083 8 109.000 109.000 109.000 0.083 9 148.000 148.000 148.000 0.083 10 194.000 194.000 194.000 0.083 11 220.000 220.000 220.000 0.083 12 233.000 233.000 233.000 0.083 LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 430.000 430.000 -6.94E-17 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 134.333 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 296.667 +INF . 2 . 421.333 +INF . 3 . 430.000 +INF . 4 . 386.667 +INF . 5 . 309.333 +INF . 6 . 222.000 +INF . 7 . 133.667 +INF . 8 . 64.333 +INF . 9 . 39.000 +INF . 10 . 52.667 +INF . 11 . 112.333 +INF . 12 . 198.000 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF -0.083 2 . . +INF -0.083 3 . . +INF -0.083 4 . . +INF -0.083 5 . . +INF -0.083 6 . . +INF -0.083 7 . . +INF -0.083 8 . . +INF -0.083 9 . . +INF -0.083 10 . . +INF -0.083 11 . . +INF -0.083 12 . . +INF -0.083 LOWER LEVEL UPPER MARGINAL ---- VAR v . 430.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 176 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 88 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 177 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 88 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 134.3333 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 134.333333 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -133.333 . . 2 -INF -8.667 . . 3 -INF . . -6.94E-17 4 -INF -43.333 . . 5 -INF -120.667 . . 6 -INF -208.000 . . 7 -INF -296.333 . . 8 -INF -365.667 . . 9 -INF -391.000 . . 10 -INF -377.333 . . 11 -INF -317.667 . . 12 -INF -232.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 0.083 2 143.000 143.000 143.000 0.083 3 91.000 91.000 91.000 0.083 4 57.000 57.000 57.000 0.083 5 47.000 47.000 47.000 0.083 6 46.000 46.000 46.000 0.083 7 65.000 65.000 65.000 0.083 8 109.000 109.000 109.000 0.083 9 148.000 148.000 148.000 0.083 10 194.000 194.000 194.000 0.083 11 220.000 220.000 220.000 0.083 12 233.000 233.000 233.000 0.083 LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 435.000 435.000 -6.94E-17 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 134.333 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 301.667 +INF . 2 . 426.333 +INF . 3 . 435.000 +INF . 4 . 391.667 +INF . 5 . 314.333 +INF . 6 . 227.000 +INF . 7 . 138.667 +INF . 8 . 69.333 +INF . 9 . 44.000 +INF . 10 . 57.667 +INF . 11 . 117.333 +INF . 12 . 203.000 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF -0.083 2 . . +INF -0.083 3 . . +INF -0.083 4 . . +INF -0.083 5 . . +INF -0.083 6 . . +INF -0.083 7 . . +INF -0.083 8 . . +INF -0.083 9 . . +INF -0.083 10 . . +INF -0.083 11 . . +INF -0.083 12 . . +INF -0.083 LOWER LEVEL UPPER MARGINAL ---- VAR v . 435.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 178 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 89 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 179 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 89 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 134.3333 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 134.333333 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -133.333 . . 2 -INF -8.667 . . 3 -INF . . -6.94E-17 4 -INF -43.333 . . 5 -INF -120.667 . . 6 -INF -208.000 . . 7 -INF -296.333 . . 8 -INF -365.667 . . 9 -INF -391.000 . . 10 -INF -377.333 . . 11 -INF -317.667 . . 12 -INF -232.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 0.083 2 143.000 143.000 143.000 0.083 3 91.000 91.000 91.000 0.083 4 57.000 57.000 57.000 0.083 5 47.000 47.000 47.000 0.083 6 46.000 46.000 46.000 0.083 7 65.000 65.000 65.000 0.083 8 109.000 109.000 109.000 0.083 9 148.000 148.000 148.000 0.083 10 194.000 194.000 194.000 0.083 11 220.000 220.000 220.000 0.083 12 233.000 233.000 233.000 0.083 LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 440.000 440.000 -6.94E-17 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 134.333 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 306.667 +INF . 2 . 431.333 +INF . 3 . 440.000 +INF . 4 . 396.667 +INF . 5 . 319.333 +INF . 6 . 232.000 +INF . 7 . 143.667 +INF . 8 . 74.333 +INF . 9 . 49.000 +INF . 10 . 62.667 +INF . 11 . 122.333 +INF . 12 . 208.000 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF -0.083 2 . . +INF -0.083 3 . . +INF -0.083 4 . . +INF -0.083 5 . . +INF -0.083 6 . . +INF -0.083 7 . . +INF -0.083 8 . . +INF -0.083 9 . . +INF -0.083 10 . . +INF -0.083 11 . . +INF -0.083 12 . . +INF -0.083 LOWER LEVEL UPPER MARGINAL ---- VAR v . 440.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 180 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Model Statistics SOLVE reservoir Using LP From line 59 LOOPS i 90 MODEL STATISTICS BLOCKS OF EQUATIONS 3 SINGLE EQUATIONS 25 BLOCKS OF VARIABLES 4 SINGLE VARIABLES 26 NON ZERO ELEMENTS 73 GENERATION TIME = 0.050 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 EXECUTION TIME = 0.060 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 181 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m Solution Report SOLVE reservoir Using LP From line 59 L O O P S i 90 S O L V E S U M M A R Y MODEL reservoir OBJECTIVE y TYPE LP DIRECTION MAXIMIZE SOLVER CPLEX FROM LINE 59 **** SOLVER STATUS 1 NORMAL COMPLETION **** MODEL STATUS 1 OPTIMAL **** OBJECTIVE VALUE 134.3333 RESOURCE USAGE, LIMIT 0.010 1000.000 ITERATION COUNT, LIMIT 0 10000 GAMS/Cplex Jan 19, 2004 WIN.CP.CP 21.3 025.027.041.VIS For Cplex 9.0 Cplex 9.0.0, GAMS Link 25 Optimal solution found. Objective : 134.333333 ---- EQU maxcap capacity constraint LOWER LEVEL UPPER MARGINAL 1 -INF -133.333 . . 2 -INF -8.667 . . 3 -INF . . -6.94E-17 4 -INF -43.333 . . 5 -INF -120.667 . . 6 -INF -208.000 . . 7 -INF -296.333 . . 8 -INF -365.667 . . 9 -INF -391.000 . . 10 -INF -377.333 . . 11 -INF -317.667 . . 12 -INF -232.000 . . ---- EQU stateeq mass balance for reservoir LOWER LEVEL UPPER MARGINAL 1 259.000 259.000 259.000 0.083 2 143.000 143.000 143.000 0.083 3 91.000 91.000 91.000 0.083 4 57.000 57.000 57.000 0.083 5 47.000 47.000 47.000 0.083 6 46.000 46.000 46.000 0.083 7 65.000 65.000 65.000 0.083 8 109.000 109.000 109.000 0.083 9 148.000 148.000 148.000 0.083 10 194.000 194.000 194.000 0.083 11 220.000 220.000 220.000 0.083 12 233.000 233.000 233.000 0.083 LOWER LEVEL UPPER MARGINAL ---- EQU par -INF 445.000 445.000 -6.94E-17 par parametric constraint LOWER LEVEL UPPER MARGINAL ---- VAR y -INF 134.333 +INF . y assured yield in million cubic meters ---- VAR s monthly storage in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . 311.667 +INF . 2 . 436.333 +INF . 3 . 445.000 +INF . 4 . 401.667 +INF . 5 . 324.333 +INF . 6 . 237.000 +INF . 7 . 148.667 +INF . 8 . 79.333 +INF . 9 . 54.000 +INF . 10 . 67.667 +INF . 11 . 127.333 +INF . 12 . 213.000 +INF . ---- VAR r monthly release in million cubic meters LOWER LEVEL UPPER MARGINAL 1 . . +INF -0.083 2 . . +INF -0.083 3 . . +INF -0.083 4 . . +INF -0.083 5 . . +INF -0.083 6 . . +INF -0.083 7 . . +INF -0.083 8 . . +INF -0.083 9 . . +INF -0.083 10 . . +INF -0.083 11 . . +INF -0.083 12 . . +INF -0.083 LOWER LEVEL UPPER MARGINAL ---- VAR v . 445.000 +INF . v reservoir capacity in million cubic meters **** REPORT SUMMARY : 0 NONOPT 0 INFEASIBLE 0 UNBOUNDED GAMS Rev 138 MS Windows 11/01/06 09:19:53 Page 182 G e n e r a l A l g e b r a i c M o d e l i n g S y s t e m E x e c u t i o n **** REPORT FILE SUMMARY results C:\DennisMcL\MIT_classes\MIT1731_06\www\Probsets\PS3\PS06_32.res EXECUTION TIME = 0.030 SECONDS 2.9 Mb WIN213-138 Feb 03, 2004 USER: Civil & Environmental Engineering G040407:1247AP-WIN MIT DC3218 License for teaching and research at degree granting institutions **** FILE SUMMARY INPUT C:\DennisMcL\MIT_classes\MIT1731_06\www\Probsets\PS3\PS06_3.gms OUTPUT C:\DennisMcL\MIT_classes\MIT1731_06\www\Probsets\PS3\PS06_3.lst