Two new GA-based methods for multiobjective optimization

Civil Engineering and Environmental Systems

Volumn 15, Issue 3, 1998, Pages 207-243

  Coello Coello, Carlos A ^a   Christiansen, Alan D ^a  

^a Tulane University   (United States)

Author keywords

Artificial intelligence; Design optimization; Genetic algorithms; Minmax optimization; Multicriteria optimization; Multiobjective optimization; Vector optimization

Indexed keywords

ARTIFICIAL INTELLIGENCE; OPTIMIZATION;

DESIGN OPTIMIZATION; MULTICRITERIA OPTIMIZATION; MULTIOBJECTIVE OPTIMIZATION; VECTOR OPTIMIZATION;

GENETIC ALGORITHMS;

EID: 0032295833     PISSN: 10286608     EISSN: None     Source Type: Journal    
DOI: 10.1080/02630259808970240     Document Type: Article

References (28)

1. Coello, C. A. C., An Empirical Study of Evolutionary Techniques for Multiobjective Optimization in Engineering Design. Ph.D. Thesis, Department of Computer Science, Tulane University, New Orleans, LA, April 1996.
2. Davis, L. Ed., Handbook of Genetic Algorithms, Van Nostrand Reinhold, New York (1991)
3. Deb, K. and Goldberg, D. E., An investigation of niche and species formation in genetic function optimization. In Schaffer, J. D. Ed., Proceedings of the Third International Conference on Genetic Algorithms, pp. 42-50, San Mateo, California, June 1989 George Mason University, Morgan Kaufmann Publishers.
4. Eshelman, L. J. (1991). The CHC adaptive search algorithm: How to have safe search when engaging in nontraditional genetic recombination. In Rawlins, G. E. Ed., Foundations of Genetic Algorithms. 265-283. Morgan Kaufmann Publishers, San Mateo, California.
5. Fonseca, C. M. and Fleming, P. J. (1993). Genetic Algorithms for Multiobjective Optimization: Formulation, Discussion and Generalization. In Forrest, S. Ed., Proceedings of the Fifth International Conference on Genetic Algorithms, pp. 416-423, San Mateo, California. University of Illinois at Urbana-Champaign, Morgan Kauffman Publishers.
6. Fonseca, C. M. and Fleming, P. J. (1994). An overview of evolutionary algorithms in multiobjective optimization. Technical report. Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield, U.K.
7. Fourman, M. P. (1985). Compaction of symbolic layout using genetic algorithms. In Genetic Algorithms and their Applications: Proceedings of the First International Conference on Genetic Algorithms, pp. 141-153. Lawrence Erlbaum.
8. Ghiassi, M., DeVor, R. E., Dessouky, M. I. and Kijowski, B. A., An application of multiple criteria decision making principles for planning machining operations. IIE Transactions, 16(2), 106-114, June 1984.
9. Goldberg, D. E. (1989). Genetic Algorithms in Search, Optimization and Machine Learning. Reading, Mass., Addison-Wesley Publishing Co.
10. Goldberg, D. E. and Deb, K. (1991). A comparison of selection schemes used in genetic algorithms. In Rawlins, G. E. Ed., Foundations of Genetic Algorithms, pp. 69-93. Morgan Kaufmann, San Mateo. California.
11. Goldberg, D. E. and Richardson, J. (1987). Genetic algorithm with sharing for multimodal function optimization. In Grefenstette, J. J. Ed., Genetic Algorithms and Their Applications: Proceedings of the Second International Conference on Genetic Algorithms, pp. 41-49. Lawrence Erlbaum.
12. Grefenstette, J. J. (1984). GENESIS: A system for using genetic search procedures. In Proceedings of the 1984 Conference on Intelligent Systems and Machines, pp. 161-165.
13. Grefenstette, J. J. (1986). Optimization of control parameters for genetic algorithms. IEEE Transactions on Systems, Man, and Cybernetics, 16(1), 122-128.
14. Hajela, P. and Lin, C. Y. (1992). Genetic search strategies in multicriterion optimal design. Structural Optimization, 4, 99-107.
15. Horn, J. and Nafpliotis, N. (1993). Multiobjective Optimization using the Niched Pareto Genetic Algorithm. Technical Report IlliGA1 Report 93005, University of Illinois at Urbana-Champaign, Urbana, Illinois, USA.
16. Osyczka, A. (1978). An approach to multicriterion optimization problems for engineering design. Computer Methods in Applied Mechanics and Engineering, 15, 309-333.
17. Osyczka, A. (1984). Multicriterion Optimization in Engineering with FORTRAN programs. Ellis Horwood Limited.
18. Osyczka, A (1985). Multicriteria optimization for engineering design. In Gero, J. S. Ed , Design Optimization, pp. 193-227. Academic Press.
19. Powell, D. and Skolnick, M. M., Using genetic algorithms in engineering design optimization with non-linear constraints. In Forrest, S. Ed., Proceedings of the Fifth International Conference on Genetic Algorithms, pp. 424-431. Morgan Kaufmann Publishers, July 1993.
20. Rao, S. (1986). Game theory approach for multiobjective structural optimization. Computers and Structures, 25(1), 119-127.
21. Rao, S. S. Multiobjective optimization in structural design with uncertain parameters and stochastic processes. AIAA Journal, 22(11), 1670-1678, November 1984.
22. Richardson, J. T., Palmer, M. R., Liepins, G. and Hilliard, M. (1989). Some guidelines for genetic algorithms with penalty functions. In Schaffer, J. D. Ed., Proceedings of the Third International Conference on Genetic Algorithms, pp. 191-197, George Mason University, Morgan Kaufmann Publishers.
23. Ritzel, B. J., Eheart, J. W. and Ranjithan, S., Using genetic algorithms to solve a multiple objective groundwater pollution containment problem. Water Resources Research, 30(5), 1589-1603, May 1994.
24. Rosenberg, R. S. (1967). Simulation of genetic populations with biochemical properties. Ph.D. Thesis, University of Michigan, Ann Harbor, Michigan.
25. Schaffer, J. D. (1985). Multiple objective optimization with vector evaluated genetic algorithms. In Genetic Algorithms and their Applications: Proceedings of the First International Conference on Genetic Algorithms, pp. 93-100. Lawrence Erlbaum.
26. Srinivas, N. and Deb, K. (1993). Multiobjective optimization using nondominated sorting in genetic algorithms. Technical report, Department of Mechanical Engineering, Indian Institute of Technology, Kanput, India.
27. Srinivas, N. and Deb, K., Multiobjective Optimization Using Nondominated Sorting in Genetic Algorithms. Evolutionary Computation, 2(3), 221-248, Fall, 1994.
28. Tseng, C. H. and Lu, T. W. (1990). Minimax multiobjective optimization in structural design. International Journal for Numerical Methods in Engineering, 30, 1213-1228.