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arXiv · 1202.5284

Elitism Levels Traverse Mechanism For The Derivation of Upper Bounds on Unimodal Functions

Aram Ter-Sarkisov
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Abstract

In this article we present an Elitism Levels Traverse Mechanism that we designed to find bounds on population-based Evolutionary algorithms solving unimodal functions. We prove its efficiency theoretically and test it on OneMax function deriving bounds c{\mu}n log n - O({\mu} n). This analysis can be generalized to any similar algorithm using variants of tournament selection and genetic operators that flip or swap only 1 bit in each string.

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Aram Ter-Sarkisov. 2012-02-23. Elitism Levels Traverse Mechanism For The Derivation of Upper Bounds on Unimodal Functions. https://arxiv.org/abs/1202.5284

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