Analysis of genetic algorithms using statistical mechanics

Adam Prügel-Bennett and Jonathan L. Shapiro
Phys. Rev. Lett. 72, 1305 – Published 28 February 1994
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Abstract

A formalism is developed for studying genetic algorithms by considering the evolution of the distribution of fitness in the population. The effects of selection on the population are problem independent. The formalism predicts the optimal amount of selection. Crossover is solved for a model problem-finding low energy states of the one dimensional Ising spin glass. The theory is found to be in good agreement with simulations.

  • Received 11 June 1993

DOI:https://doi.org/10.1103/PhysRevLett.72.1305

©1994 American Physical Society

Authors & Affiliations

Adam Prügel-Bennett and Jonathan L. Shapiro

  • Department of Computer Science, University of Manchester, Manchester, M13 9PL, United Kingdom

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Issue

Vol. 72, Iss. 9 — 28 February 1994

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