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Adaptive Firefly Algorithm: Parameter Analysis and its Application

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  • Ngaam J Cheung
  • Xue-Ming Ding
  • Hong-Bin Shen

Abstract

As a nature-inspired search algorithm, firefly algorithm (FA) has several control parameters, which may have great effects on its performance. In this study, we investigate the parameter selection and adaptation strategies in a modified firefly algorithm — adaptive firefly algorithm (AdaFa). There are three strategies in AdaFa including (1) a distance-based light absorption coefficient; (2) a gray coefficient enhancing fireflies to share difference information from attractive ones efficiently; and (3) five different dynamic strategies for the randomization parameter. Promising selections of parameters in the strategies are analyzed to guarantee the efficient performance of AdaFa. AdaFa is validated over widely used benchmark functions, and the numerical experiments and statistical tests yield useful conclusions on the strategies and the parameter selections affecting the performance of AdaFa. When applied to the real-world problem — protein tertiary structure prediction, the results demonstrated improved variants can rebuild the tertiary structure with the average root mean square deviation less than 0.4Å and 1.5Å from the native constrains with noise free and 10% Gaussian white noise.

Suggested Citation

  • Ngaam J Cheung & Xue-Ming Ding & Hong-Bin Shen, 2014. "Adaptive Firefly Algorithm: Parameter Analysis and its Application," PLOS ONE, Public Library of Science, vol. 9(11), pages 1-12, November.
    • Handle: RePEc:plo:pone00:0112634
    DOI: 10.1371/journal.pone.0112634
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    Cited by:

    1. Ngaam J. Cheung & Xue-Ming Ding & Hong-Bin Shen, 2016. "A Non-homogeneous Firefly Algorithm and Its Convergence Analysis," Journal of Optimization Theory and Applications, Springer, vol. 170(2), pages 616-628, August.
    2. M. Fernanda P. Costa & Rogério B. Francisco & Ana Maria A. C. Rocha & Edite M. G. P. Fernandes, 2017. "Theoretical and Practical Convergence of a Self-Adaptive Penalty Algorithm for Constrained Global Optimization," Journal of Optimization Theory and Applications, Springer, vol. 174(3), pages 875-893, September.
    3. Fahd A. Alturki & Emad Mahrous Awwad, 2021. "Sizing and Cost Minimization of Standalone Hybrid WT/PV/Biomass/Pump-Hydro Storage-Based Energy Systems," Energies, MDPI, vol. 14(2), pages 1-20, January.

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