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Foundations of Genetic Algorithms 2001 (FOGA 6) by Worthy N. Martin, William Spears, Worth Martin

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Continuous Dynamical System Models of Steady-State Genetic Algorithms

Alden H. Wright wright@cs.umt.edu    Computer Science Department University of Montana Missoula, MT 59812 USA

Jonathan E. Rowe*    School of Computer Science University of Birmingham Birmingham B15 2TT Great Britain* This work was completed while Jonathan E. Rowe was at De Montfort University. J.E.Rowe@cs.bham.ac.uk

Abstract

This paper constructs discrete-time and continuous-time dynamical system expected value and infinite population models for steady-state genetic and evolutionary search algorithms. Conditions are given under which the discretetime expected value models converge to the continuous-time models as the population size goes to infinity. Existence and uniqueness theorems ...

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