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Improved Hybrid Firefly Algorithm with Probability Attraction Model

Author

Listed:
  • Jin-Ling Bei

    (College of Engineering, Northeast Agricultural University, Harbin 150030, China
    These authors contributed equally to this work.)

  • Ming-Xin Zhang

    (Computer Department, Shijiazhuang Posts and Telecommunications Technical College, Shijiazhuang 050020, China
    These authors contributed equally to this work.)

  • Ji-Quan Wang

    (College of Engineering, Northeast Agricultural University, Harbin 150030, China)

  • Hao-Hao Song

    (College of Engineering, Northeast Agricultural University, Harbin 150030, China)

  • Hong-Yu Zhang

    (College of Engineering, Northeast Agricultural University, Harbin 150030, China)

Abstract

An improved hybrid firefly algorithm with probability attraction model (IHFAPA) is proposed to solve the problems of low computational efficiency and low computational accuracy in solving complex optimization problems. First, the method of square-root sequence was used to generate the initial population, so that the initial population had better population diversity. Second, an adaptive probabilistic attraction model is proposed to attract fireflies according to the brightness level of fireflies, which can minimize the brightness comparison times of the algorithm and moderate the attraction times of the algorithm. Thirdly, a new location update method is proposed, which not only overcomes the deficiency in that the relative attraction of two fireflies is close to 0 when the distance is long but also overcomes the deficiency that the relative attraction of two fireflies is close to infinity when the distance is small. In addition, a combinatorial variational operator based on selection probability is proposed to improve the exploration and exploitation ability of the firefly algorithm (FA). Later, a similarity removal operation is added to maintain the diversity of the population. Finally, experiments using CEC 2017 constrained optimization problems and four practical problems in engineering show that IHFAPA can effectively improve the quality of solutions.

Suggested Citation

  • Jin-Ling Bei & Ming-Xin Zhang & Ji-Quan Wang & Hao-Hao Song & Hong-Yu Zhang, 2023. "Improved Hybrid Firefly Algorithm with Probability Attraction Model," Mathematics, MDPI, vol. 11(2), pages 1-59, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:2:p:389-:d:1032754
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    References listed on IDEAS

    as
    1. Kai Chen & Yifan Zhou & Zhisheng Zhang & Min Dai & Yuan Chao & Jinfei Shi, 2016. "Multilevel Image Segmentation Based on an Improved Firefly Algorithm," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-12, February.
    2. Lixia Zhu & Zeqiang Zhang & Yi Wang, 2018. "A Pareto firefly algorithm for multi-objective disassembly line balancing problems with hazard evaluation," International Journal of Production Research, Taylor & Francis Journals, vol. 56(24), pages 7354-7374, December.
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