Derivation of Upper Bounds on Optimization Time of Population-Based Evolutionary Algorithm on a Function with Fitness Plateaus Using Elitism Levels Traverse Mechanism

Computer Science – Neural and Evolutionary Computing

Scientific paper

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Scientific paper

In this article we derive upper bounds on optimization time of the recombination algorithm solving a unimodal problem with plateaus of fitness using a tool we called Elitism Levels Traverse Mechanism. Our findings are asymptotically tight for different parameters of the algorithm and the problem, and we are able to recover some well-known bounds for test problems such as OneMax and Royal Roads. We also present find- ings on the limiting distribution of super-elite species in the population, something no-one seems to have done before in the EA community.

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