A distance between populations for one-point crossover in genetic algorithms

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Genetic algorithms use transformation operators on the genotypic structures of the individuals to carry out a search. These operators define a neighborhood. To analyze various dynamics of the search process, it is often useful to define a distance in this space. In fact, using an operator-based distance can make the analysis more accurate and reliable than using distances which have no relationship with the genetic operators. In this paper we define a distance which is based on the standard one-point crossover. Given that the population strongly affects the neighborhood induced by the crossover, we first define a crossover-based distance between populations. Successively, we show that it is naturally possible to derive from this function a family of distances between individuals. Finally, we also introduce an algorithm to compute this distance efficiently. (C) 2011 Elsevier B.V. All rights reserved.
Original languageUnknown
Pages (from-to)213-221
JournalTheoretical Computer Science
Issue numberNA
Publication statusPublished - 1 Jan 2012

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