We model a simple genetic algorithm as a Markov chain. Our method is both complete (selection, mutation, and crossover are incorporated into an explicitly given transition matrix) and exact; no special assumptions are made which restrict populations
Markov Chains for Everybody An Introduction to the theory of discrete time Markov chains on countable state spaces. Wilhelm Huisinga, & Eike Meerbach Fachbereich Mathematik und Informatik Freien Universit¨at Berlin & DFG Research Center Matheon, Ber