Abstract

Differential evolution (DE) algorithm is presented and applied to global optimization in this research. DE suggested initially for the solution to Chebychev polynomial fitting problem is similar to genetic algorithm (GA) including crossover, mutation and selection process. However, differential evolution algorithm is simpler than GA because it uses a vector concept in populating process. And DE turns out to be converged faster than GA, since it employs the difference information as pseudo-sensitivity. In this paper, a trial vector and its control parameters of DE are examined and unconstrained optimization problems of highly nonlinear multimodal functions are demonstrated. To illustrate the efficiency of DE, convergence rates and robustness of global optimization algorithms are compared with those of simple GA.

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