GENETIC ALGORITHM WITH ELITIST MODEL AND ITS CONVERGENCE
- 1 September 1996
- journal article
- research article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Pattern Recognition and Artificial Intelligence
- Vol. 10 (06) , 731-747
- https://doi.org/10.1142/s0218001496000438
Abstract
In this article, the genetic algorithm with elitist model (EGA) is modeled as a finite state Markov chain. A state in the Markov chain denotes a population together with a potential string. Proof for the convergence of an EGA to the best chromosome (string), among all possible chromosomes, is provided here. Mutation operation has been found to be essential for convergence. It has been shown that an EGA converges to the global optimal solution with any choice of initial population.Keywords
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