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Modelling Crossover-Induced Linkage in Genetic Algorithms

Modelling Crossover-Induced Linkage in Genetic Algorithms
Modelling Crossover-Induced Linkage in Genetic Algorithms
The dynamics of a genetic algorithm undergoing ranking selection, mutation, and two-point crossover for the ones-counting problem is studied using a statistical mechanics approach. This approach has been used previously to study this problem, but with uniform crossover. Two-point crossover induces additional linkage between nearby loci which changes the dynamics significantly. To account for this linkage, the evolution of the auto-correlation function is incorporated into a model of the dynamics. This complicates the analysis and requires several additional approximations to be made. Nevertheless, the model we derive is shown to capture the main features of the dynamics and is in good agreement with simulations.
376-387
Prügel-Bennett, Adam
b107a151-1751-4d8b-b8db-2c395ac4e14e
Prügel-Bennett, Adam
b107a151-1751-4d8b-b8db-2c395ac4e14e

Prügel-Bennett, Adam (2001) Modelling Crossover-Induced Linkage in Genetic Algorithms. IEEE Transcations on Evolutionary Computation, 5 (4), 376-387.

Record type: Article

Abstract

The dynamics of a genetic algorithm undergoing ranking selection, mutation, and two-point crossover for the ones-counting problem is studied using a statistical mechanics approach. This approach has been used previously to study this problem, but with uniform crossover. Two-point crossover induces additional linkage between nearby loci which changes the dynamics significantly. To account for this linkage, the evolution of the auto-correlation function is incorporated into a model of the dynamics. This complicates the analysis and requires several additional approximations to be made. Nevertheless, the model we derive is shown to capture the main features of the dynamics and is in good agreement with simulations.

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Published date: 2001
Organisations: Southampton Wireless Group

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Local EPrints ID: 254238
URI: http://eprints.soton.ac.uk/id/eprint/254238
PURE UUID: 0b00eac3-51a1-48fd-a5c1-c6697e6c8c50

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Date deposited: 22 Mar 2002
Last modified: 24 Mar 2020 17:45

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