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

Authors:
Tatsuya Nomura
Affiliations:
Evolutionary Systems Department, ATR Human Information Processing Research Laboratories, Soraku-gun, Kyoto, Japan
Venue:
IJCAI'97 Proceedings of the Fifteenth international joint conference on Artifical intelligence - Volume 2
Year:
1997

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Abstract

In this paper, as one approach for mathematical analysis of evolutionary algorithms with real number chromosomes, we focus our attention on crossovers, give a general framework of the description for the change of the distribution of the population through them, and verify the properties of crossovers based on the framework. This framework includes various crossover which have been proposed and we apply our result to these crossover methods.