An analysis on linear crossover for real number chromosomes in an infinite population size

Abstract

The article presents an approach for mathematical analysis of genetic algorithms with real number chromosomes. We focus our attention on crossovers using a linear combination of the elements on the locus and verify the property in the change of the distribution of the chromosomes. This framework includes the average crossover and the Unfair Average Crossover we have proposed. We apply this result to these crossover methods.