A constraint handling approach for the differential evolution algorithm

An extension for the differential evolution algorithm is proposed for handling nonlinear constraint functions. In comparison with the original algorithm, only the replacement criterion was modified for handling the constraints. In this article the proposed method is described and demonstrated by solving a suite of ten well-known test problems.

[1]  David Mautner Himmelblau,et al.  Applied Nonlinear Programming , 1972 .

[2]  P. H. Lindsay.  Human Information Processing , 1977 .

[3]  Klaus Schittkowski,et al.  Test examples for nonlinear programming codes , 1980 .

[4]  Klaus Schittkowski,et al.  More test examples for nonlinear programming codes , 1981 .

[5]  Panos M. Pardalos,et al.  A Collection of Test Problems for Constrained Global Optimization Algorithms , 1990, Lecture Notes in Computer Science.

[6]  Christopher R. Houck,et al.  On the use of non-stationary penalty functions to solve nonlinear constrained optimization problems with GA's , 1994, Proceedings of the First IEEE Conference on Evolutionary Computation. IEEE World Congress on Computational Intelligence.

[7]  Z. Michalewicz.  Genetic Algorithms , Numerical Optimization , and Constraints , 1995 .

[8]  Zbigniew Michalewicz,et al.  Evolutionary Algorithms for Constrained Parameter Optimization Problems , 1996, Evolutionary Computation.

[9]  Zbigniew Michalewicz,et al.  GENOCOP: a genetic algorithm for numerical optimization problems with linear constraints , 1996, CACM.

[10]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[11]  Kenneth V. Price,et al.  An introduction to differential evolution , 1999 .

[12]  Zbigniew Michalewicz,et al.  Evolutionary Algorithms, Homomorphous Mappings, and Constrained Parameter Optimization , 1999, Evolutionary Computation.

[13]  Ivan Zelinka,et al.  Mechanical engineering design optimization by differential evolution , 1999 .

[14]  Ivan Zelinka,et al.  ON STAGNATION OF THE DIFFERENTIAL EVOLUTION ALGORITHM , 2000 .