Analysis of the Dynamical Characteristics of the Firefly Algorithm

Takuya Shindo, Jianze Xiao, Takuya Kurihara and Kenya Jin'no
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Takuya Shindo: Nippon Institute of Technology, Saitama, Japan
Jianze Xiao: Nippon Institute of Techmology, Saitama, Japan
Takuya Kurihara: Nippon Institute of Technology, Saitama, Japan
Kenya Jin'no: Nippon Institute of Technology, Saitama, Japan

International Journal of Swarm Intelligence Research (IJSIR), 2017, vol. 8, issue 4, 18-33

Abstract: The firefly algorithm is a meta-heuristic algorithm, the fundamental principle of which mimic the characteristics associated with the blinking of natural fireflies. This paper, presents a rigorous analysis of the dynamics of the firefly algorithm, which the authors performed by applying a deterministic system that removes the stochastic factors from the state update equation. Depending on its parameters, the individual deterministic firefly algorithm exhibits chaotic behavior. This prompted us to investigate the relationship between the behavior of the algorithm and its parameters as well as the extent to which the chaotic behavior influences the searching ability of the algorithm.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:igg:jsir00:v:8:y:2017:i:4:p:18-33

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