Abstract Cellular genetic algorithms (cGAs) are a class of evolutionary algorithms (EAs) with a decentralized population in which the tentative solutions evolve in overlapped neighborhoods. However, there are few theoretical researches for the convergence and the convergence speed of cGA. A Markov chain that models canonical cGA is constructed. Then, the convergence of canonical cGA is deduced based on the absorbing state Markov chain. Next, the convergence rate of canonical cGA is studied. The upper and lower bounds for the number of iterations that canonical cGA gets a globally optimal solution are estimated.
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2012, Vol. 25 
