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Hitting times of local and global optima in genetic algorithms with very high selection pressure
Author(s) -
Anton V. Eremeev
Publication year - 2017
Publication title -
yugoslav journal of operations research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.221
H-Index - 21
eISSN - 1820-743X
pISSN - 0354-0243
DOI - 10.2298/yjor160318016e
Subject(s) - local optimum , selection (genetic algorithm) , bounded function , mathematical optimization , mutation , range (aeronautics) , mathematics , genetic algorithm , upper and lower bounds , constant (computer programming) , algorithm , computer science , artificial intelligence , biology , genetics , mathematical analysis , materials science , composite material , gene , programming language
The paper is devoted to upper bounds on the expected first hitting times of the sets of local or global optima for non-elitist genetic algorithms with very high selection pressure. The results of this paper extend the range of situations where the upper bounds on the expected runtime are known for genetic algorithms and apply, in particular, to the Canonical Genetic Algorithm. The obtained bounds do not require the probability of fitness-decreasing mutation to be bounded by a constant which is less than one

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