Evolutionary Algorithms for Constrained Parameter Optimization Problems

Author:

Michalewicz Zbigniew1,Schoenauer Marc2

Affiliation:

1. Department of Computer Science University of North Carolina Charlotte, NC 28223Institute of Computer Science Polish Academy of Sciences ul. Ordona 21 01-237 Warsaw, Poland

2. CMAP—URA CNRS 756 Ecole Polytechnique Palaiseau 91128, France

Abstract

Evolutionary computation techniques have received a great deal of attention regarding their potential as optimization techniques for complex numerical functions. However, they have not produced a significant breakthrough in the area of nonlinear programming due to the fact that they have not addressed the issue of constraints in a systematic way. Only recently have several methods been proposed for handling nonlinear constraints by evolutionary algorithms for numerical optimization problems; however, these methods have several drawbacks, and the experimental results on many test cases have been disappointing. In this paper we (1) discuss difficulties connected with solving the general nonlinear programming problem; (2) survey several approaches that have emerged in the evolutionary computation community; and (3) provide a set of 11 interesting test cases that may serve as a handy reference for future methods.

Publisher

MIT Press - Journals

Subject

Computational Mathematics

Reference24 articles.

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2. Bean, J. C. & Hadj-Alouane, A. B. (1992). Adiialgeizeticalgoritbmforboll?zded integerprogr-ams. Technical Report T R 92-53, Ann Arbor, MI: University ofMichigan, Department of Industrial and Operations Engineering.

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