Please use this identifier to cite or link to this item: https://doi.org/10.1007/s10732-010-9151-1
Title: A comparative study of crossover in differential evolution
Authors: Lin, C.
Qing, A. 
Feng, Q.
Keywords: Binomial crossover
Crossover length
Differential evolution
Exponential crossover
Reliability
Issue Date: Dec-2011
Citation: Lin, C., Qing, A., Feng, Q. (2011-12). A comparative study of crossover in differential evolution. Journal of Heuristics 17 (6) : 675-703. ScholarBank@NUS Repository. https://doi.org/10.1007/s10732-010-9151-1
Abstract: In order to understand the role of crossover in differential evolution, theoretical analysis and comparative study of crossover in differential evolution are presented in this paper. Two new crossover methods, namely consecutive binomial crossover and non-consecutive exponential crossover, are designed. The probability distribution and expectation of crossover length for binomial and exponential crossover used in this paper are derived. Various differential evolution algorithms with different crossover methods including mutation-only differential evolution are comprehensively compared at system level instead of parameter level. Based on the theoretical analysis and simulation results, the effect of crossover on the reliability and efficiency of differential evolution algorithms is discussed. Some insights are revealed. © 2010 Springer Science+Business Media, LLC.
Source Title: Journal of Heuristics
URI: http://scholarbank.nus.edu.sg/handle/10635/116902
ISSN: 13811231
DOI: 10.1007/s10732-010-9151-1
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