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Published in:
2010 | OriginalPaper | Chapter
Runtime Analysis of Evolutionary Programming Based on Cauchy Mutation
Authors : Han Huang, Zhifeng Hao, Zhaoquan Cai, Yifan Zhu
Published in: Swarm, Evolutionary, and Memetic Computing
Publisher: Springer Berlin Heidelberg
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This paper puts forward a brief runtime analysis of an evolutionary programming (EP) which is one of the most important continuous optimization evolutionary algorithms. A theoretical framework of runtime analysis is proposed by modeling EP as an absorbing Markov process. The framework is used to study the runtime of a classical EP algorithm named as EP with Cauchy mutation (FEP). It is proved that the runtime of FEP can be less than a polynomial of n if the Lebesgue measure of optimal solution set is more than an exponential form of 2. Moreover, the runtime analysis result can be used to explain the performance of EP based on Cauchy mutation.