A hybrid method of evolutionary algorithms for mixed-integer nonlinear optimization problems

Proceedings of the 1999 Congress on Evolutionary Computation, CEC 1999

Volumn 3, Issue , 1999, Pages 2159-2166

  Lin, Yung Chien ^a   Wang, Feng Sheng ^a   Hwang, Kao Shing ^a  

^a NATIONAL CHUNG CHENG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

EVOLUTIONARY ALGORITHMS; NONLINEAR PROGRAMMING; OPTIMIZATION;

DISCRETE VARIABLES; HYBRID DIFFERENTIAL EVOLUTION; INTEGER NONLINEAR OPTIMIZATION PROBLEMS; INTEGER VARIABLES; MECHANICAL DESIGN; MIXED-INTEGER NONLINEAR OPTIMIZATION PROBLEMS; ROBUSTNESS PROPERTIES; ROUNDING OPERATION;

INTEGER PROGRAMMING;

EID: 84879076707     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CEC.1999.785543     Document Type: Conference Paper

References (16)

1. Michalewicz, Z., Dasgupta, D., Le Riche, R. G. and Schoenaur, M., Evolutionary algorithms for constrained engineering problems, Computers & Industrial Engineering J., 30 (1996) 851-870.
2. Storn, R. and Price, K., Minimizing the real functions of the ICEC'96 contest by differential evolution, IEEE Conf. on Evolutionary Computation, Nagoya (1996) 842-844.
3. Storn, R. and Price, K., Differential evolution: a simple and efficient heuristic for global optimization over continuous spaces, J. Global Optimization, 11 (1997) 341-369.
4. Wang, F. S. and Chiou, J. P., Optimal control and optimal time location problems of differentialalgebraic systems by differential evolution, Ind. & Eng. Chem. Research, 36 (1997) 5348-5357.
5. Chiou, J. P. and Wang, F. S., A hybrid method of differential evolution with application to optimal control problems of a bioprocess system, IEEE Conf. on Evolutionary Computation, Anchorage (1998) 627-631.
6. Wang, F. S. and Sheu, J. W, Multiobjective parameter estimation problems of fermentation processes using a high ethanol tolerance yeast, submitted to Chem. Eng Sci., (1998).
7. Wang, F. S., Jing, C. H., and Tsao, G. T., Fuzzydecision-making problems of fuel ethanol production using a genetically engineering yeast, Ind. & Eng. Chem. Research, 37 (1998) 3434-3443.
8. Geoffrion, A. M., Generalized benders' decomposition, J. Optim. Theory & Appl., 10 (1972) 237-260.
9. Duran, M. A., and Grossmann, I. E., An outerapproximation algorithm for a class of mixed-integer nonlinear programs. Mathematical Programming, 36 (1986) 307-339.
10. Adjiman, C. S., Schweiger, C. A. and Floudas, C. A., Nonlinear and mixed-integer optimization in chemical process network systems, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, 40, (1998) 429-452.
11. Yokota, T., Gen, M. and Li, Y. X., Genetic algorithm for non-linear mixed integer programming problems and its applications, Computers & Industrial Engineering J., 30 (1996) 905-917.
12. Cheung, B. K. S., Langevin, A. and Delmaire, H., Coupling genetic algorithm with a grid search method to solve mixed integer nonlinear programming problems, Comput. Math. Applic., 34 (1997) 13-23.
13. Cao, Y. J. and Wu, Q. H., Mechanical design optimization by mixed-variable evolutionary programming, IEEE Conf. on Evolutionary Computation, Indianapolis (1997) 443-446.
14. Fu, J. F., Fenton, R. G. and Cleghorn, W. L., A mixed integer-discrete-continuous programming method and its application to engineering design optimization, Engineering Optimization, 17 (3) (1991) 263-280.
15. Zhang, C. and Wang, H. P., Mixed-discrete nonlinear optimization with simulated annealing, Engineering Optimization, 21 (1993) 277-291.
16. Sandgren, E., Nonlinear integer and discrete programming in mechanical design, ASME J. Mechanical Design, 112 (1990) 223-229.