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Simulation of Wave-Structure Interaction:
Nonlinear Sea-Keeping


Conference Publication

Wang C. Z., Khoo B. C. & Wu G. X., “Numerical Study on Large Scale Amplitude Motions of a Floating Body”, Proceedings of International Conference On Port & Maritime R&D and Technology, pp. 751-758, 2001.

Solving Second Order Cone Programming Problems

Journal Publications

  1. Sun J., Sun D. & Chen X., “Complementarity Functions and Numerical Experiments for Second-Order-Cone Complementarity Problems”, Journal of Computational Optimization and Applications, Vol. 25, pp. 39-56 (2003).

  2. Zhou G., Toh K. C. & Sun D., “A Globally and Quadratically Convergent Algorithm for Minimizing a Sum of Eucliden Norms”, Journal of Optimization Theory and Applications, Vol. 119, pp. 357-377 (2003).

  3. Zhou G., Toh K. C. & Zhao G., “Convergence Analysis of an Infeasible Interior Point Algorithm Based on a Regularized Central Path for Linear Complementarity Problems”, Computational Optimization and Applications, Vol. 27, pp. 269-283 (2004).

Stable Matching Problem

Journal Publications

  1. Teo C. P., Sethuraman J. V. & Tan W. P., “Gale-Shapley Stable Marriage Problem Revisited: Strategic Issues and Applications”, Management Science, Vol. 47, No. 9, pp. 1252-1267 (2001).

  2. Sethuraman J. & Teo C. P., “A Polynomial Time Algorithm for Bistable Roommates Problem”, Journal of Computer and System Sciences, pp. 498-508 (2001).

  3. Sethuraman J., Teo C. P. & Vohra R., “Integer Programming and Arrovian Social Welfare Function”, Mathematics of Operations Research, Vol. 28, No. 2, pp. 309-326 (2003).

Stochastic Optimization

Journal Publications

  1. Liu X. & Zhao G., “A Decomposition Method Based on SQP for a Class of Multistage Stochastic Nonlinear Programs”, SIAM Journal on Optimization, Vol. 14, No. 1, pp. 200-222 (2003).

  2. Chou M., “The Asymptotic Optimality of an On-Line Algorithm for the Single Machine Weighted Completion Time Problem with Release Dates”, IEEE Transactions on Automatic Control (accepted).

  3. Liu X. & Sun J., “A New Decomposition Technique in Solving Multistage Stochastic Linear Programs by Infeasible Interior Point Methods”, Journal of Global Optimization (accepted).

Conference Publication

Chou M., Liu H., Queyranne M. & Simchi-Levi D., “An Asymptotically Optimal On-Line Algorithm for the Stochastic Flow Shop and Open Shop Problems”, presented at The 2nd Japanese-Sino Optimization Meeting, Kyoto, Japan, 25- 27 September 2002.

Theory and Algorithms for Second Order Cone and Semidefinite Programming

Journal Publications

  1. Toh K. C. & Kojima M., “Solving Some Large Scale Semidefinite Programs via the Conjugate Residual Method”, SIAM Journal on Optimization, Vol. 12, pp. 669-691 (2002).

  2. Tutuncu R. H., Toh K. C. & Todd M. J., “Solving Semidefinite-Quadratic- Linear Programs using SDPT3”, Mathematical Programming, Vol. 95, pp. 189-217 (2003).

  3. Zhou G. & Toh K. C., “Polynomiality of an Inexact Infeasible Interior Point Algorithm for Semidefinite Programming” Mathematical Programming (accepted).

  4. Zhou G., Toh K. C. & Sun D., “A Globally and Quadratically Convergent Algorithm for Minimizing a Sum of Euclidean Norms”, Journal of Optimization Theory and Applications (accepted).

Topology and Shape Design Optimization using Genetic and Evolutionary Algorithms

Journal Publications

  1. Ray T., Tai K. & Seow K. C., Multiobjective Design Optimization by an Evolutionary Algorithm”, Engineering Optimzation, Vol. 33, No. 4, pp. 399- 424 (2001).

  2. Ray T. & Tai K., “An Evolutionary Algorithm with a Multilevel Pairing Strategy for Single and Multiobjective Optimization”, Foundations of Computing and Decision Sciences, Vol. 26, No. 1, pp. 75-98 (2001).

  3. Akhtar S., Tai K. & Ray T., “A Society Behavioral Simulation Model For
    Engineering Design Optimization”, Engineering Optimization, Vol. 34, No. 4, pp. 341-354 (2002).

  4. Tai K., Cui G. Y. & Ray T., “Design Synthesis of Path Generating Compliant Mechanism by Evolutionary Optimization of Topology and Shape”, ASME Journal of Mechanical Design, Vol. 124, No. 3, pp. 492-500 (2002).

Conference Publications

  1. Akhtar S., Tai K. & Prasad J., “Topology Optimization of Compliant Mechanisms using Evolutionary Algorithm with Design Geometry Encoded as a Graph”, Proceedings of ASME 2002 Design Engineering Technical Conferences (28th Design Automation Conference), Montreal, Canada, 29 September-2 October 2002.

  2. Ray T., Poan C. L. & Tai K., “A New Fitness Assignment and Parent Selection Strategy within an Evolutionary Algorithm For Constrained Optimization Problems”, Proceedings of The 4th Asia-Pacific Conference on Simulated Evolution and Learning, Vol. 1, pp. 31-35, Singapore, 18-22 November 2002.

  3. Zhai L. Y., Lam Y. C., Tai K. & Fok S. C., “A Computer-Aided Optimization Approach for the Design of Cooling Channels and Selection Process Parameters in Plastic Injection Moulding”, Proceedings of The International Conference on Scientific and Engineering Computation (ICSEC), pp. 485-489, Singapore, 3-5 December 2002.

  4. Tai K., Wang S. Y., Akhtar S. & Prasad J., “Structural Topology Optimization using a Genetic Algorithm and a Morphological Representation of Geometry”, Proceedings of The 3rd Singapore-MIT Alliance Annual Symposium, Singapore, 17-18 January 2003.

  5. Won K. S., Ray T. & Tai K., “A Framework for Optimization using Approximate Functions”, presented at Congress on Evolutionary Computation 2003, Canberra, Australia, 8-12 December 2003.

  6. Wang S. Y. & Tai K., “A Bit - Array Representation GA for Structural Topology Optimization”, presented at Congress on Evolutionary Computation 2003, Canberra, Australia, 8-12 December 2003.

  7. Tai K. & Akhtar S., “Development and Testing of a Morphological Geometric Representation Scheme for Topology Design Optimization using a Genetic Algorithm” presented at Congress on Evolutionary Computation 2003, Canberra, Australia, 8-12 December 2003.

  8. Won K. S., Ray T. & Tai K., “Modeling and Managing Approximate Functions within an Optimzation Framework”, presented at The 2nd International Conference on Computational Intelligence, Robotics and Autonomous Systems, Singapore, 15-18 December 2003.

  9. Tai K. & Akhtar S., “Design of Compliant Mechanism by Structural Optimization using GA with a Morphological Representation of Topology and Shape”, presented at The 2nd International Conference on Computational Intelligence, Robotics and Autonomous Systems, Singapore, 15-18 December 2003.

  10. Wang J. S. & Tai K., “Comparison of Geometry Representation Methods for Structural Topology Optimization using the GA”, presented in The 2nd International Conference on Computational Intelligence, Robotics and Autonomous Systems, Singapore, 15-18 December 2003.

  11. Wang S. Y. & Tai K., “A Constraint Handling Strategy for Bit-Array Representation GA in Structural Topology Optimization”, presented in The 4th Singapore-MIT Alliance Annual Symposium, Singapore, 19-20 January 2004.

Web-based Simulator Engines and Tools for Numerical Simulation

Book Chapter
Kannan V., Damodaran M. & See C. W., “Development of a Web-Based Simulator Engine for Programmable Software Environments”, Advances in Automation, Multimedia and Video Systems and Modern Computer Science, pp. 274-278 (2001).

 
  
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