Application of Lévy Mutation Operator in Evolutionary Programming Optimization of Antennas

Abstract

In this paper, we discuss the implementation of Evolutionary Programming (EP) using a mutation operator based on Levy probability distribution and investigate its performance in optimization of selected antenna problems. Since the shape-parameter, alpha, in the Levy distribution results in Cauchy and Gaussian distributions for values of 1 and 2, respectively, one can design adaptive schemes that dynamically change the shape of Levy distribution in generation of offsprings during the evolutionary process in order to exploit the desirable properties of these two distributions. In particular, we introduce a simple adaptive scheme and compare its performance in antenna optimization to adaptive and non-adaptive schemes, previously reported in the literature.