GAMS Rev 138  MS Windows                                10/29/06 07:36:17 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 #4: Groundwater Management
   2  * 12 Oct 2006
   3   
   4   


COMPILATION TIME     =        0.000 SECONDS    3.2 Mb  WIN213-138 Feb 03, 2004
GAMS Rev 138  MS Windows                                10/29/06 07:36:17 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 gwmanage Using NLP From line 56


MODEL STATISTICS

BLOCKS OF EQUATIONS       6     SINGLE EQUATIONS       15
BLOCKS OF VARIABLES       5     SINGLE VARIABLES       11
NON ZERO ELEMENTS        45     NON LINEAR N-Z         12
DERIVATIVE POOL          14     CONSTANT POOL          17
CODE LENGTH             101


GENERATION TIME      =        0.070 SECONDS    3.9 Mb  WIN213-138 Feb 03, 2004


EXECUTION TIME       =        0.070 SECONDS    3.9 Mb  WIN213-138 Feb 03, 2004
GAMS Rev 138  MS Windows                                10/29/06 07:36:17 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 gwmanage Using NLP From line 56


               S O L V E      S U M M A R Y

     MODEL   gwmanage            OBJECTIVE  f
     TYPE    NLP                 DIRECTION  MAXIMIZE
     SOLVER  CONOPT              FROM LINE  56

**** SOLVER STATUS     1 NORMAL COMPLETION         
**** MODEL STATUS      2 LOCALLY OPTIMAL           
**** OBJECTIVE VALUE            38182.8079

 RESOURCE USAGE, LIMIT          0.061      1000.000
 ITERATION COUNT, LIMIT        17         10000
 EVALUATION ERRORS              0             0
 
 
    C O N O P T 3   MS Windows version 3.13C-015-050
    Copyright (C)   ARKI Consulting and Development A/S
                    Bagsvaerdvej 246 A
                    DK-2880 Bagsvaerd, Denmark
 
 Using default options.
 
 
 ** Optimal solution. Reduced gradient less than tolerance.
 
 
 CONOPT time Total                            0.050 seconds
   of which: Function evaluations             0.000 =  0.0%
             1st Derivative evaluations       0.000 =  0.0%
             Directional 2nd Derivative       0.000 =  0.0%
 
 Work length =    0.05 Mbytes
    Estimate =    0.05 Mbytes
    Max used =    0.02 Mbytes

---- EQU qbound  upper bound on q

     LOWER     LEVEL     UPPER    MARGINAL

1     -INF      0.005     0.005      .         
2     -INF      0.005     0.005      .         
3     -INF      0.005     0.005      EPS       
4     -INF      0.005     0.005      EPS       

---- EQU ybound  upper bound on y

     LOWER     LEVEL     UPPER    MARGINAL

1     -INF     14.803    30.000      .         
2     -INF     21.294    30.000      .         
3     -INF     13.398    30.000      .         
4     -INF     14.824    30.000      .         

---- EQU lifteq  response matrix eq. for lift

     LOWER     LEVEL     UPPER    MARGINAL

1      .         .         .      -27.071      
2      .         .         .      -26.553      
3      .         .         .      -27.183      
4      .         .         .      -27.069      

                       LOWER     LEVEL     UPPER    MARGINAL

---- EQU revenue         .         .         .        1.000      
---- EQU cost            .         .         .       -1.000      
---- EQU obj             .         .         .        1.000      

  revenue  revenue
  cost  cost
  obj  net benefit

                       LOWER     LEVEL     UPPER    MARGINAL

---- VAR f              -INF  38182.808     +INF       .         

  f  Net benefit

---- VAR y  Well pumping lift in m

     LOWER     LEVEL     UPPER    MARGINAL

1      .       14.803     +INF       .         
2      .       21.294     +INF       .         
3      .       13.398     +INF       .         
4      .       14.824     +INF       .         

---- VAR q  Well pumping rate in m^3sec^-1

     LOWER     LEVEL     UPPER    MARGINAL

1      .        0.005     +INF       EPS       
2      .        0.005     +INF       EPS       
3      .        0.005     +INF       .         
4      .        0.005     +INF       .         

                       LOWER     LEVEL     UPPER    MARGINAL

---- VAR r               .    39914.445     +INF       .         
---- VAR c               .     1731.637     +INF       .         

  r  revenue
  c  cost


**** REPORT SUMMARY :        0     NONOPT
                             0 INFEASIBLE
                             0  UNBOUNDED
                             0     ERRORS


EXECUTION TIME       =        0.031 SECONDS    2.2 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\PS06\PS4\PS06_4.gms
OUTPUT     C:\DennisMcL\MIT_classes\MIT1731_06\www\Probsets\PS06\PS4\PS06_4.lst