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A grey wolf optimizer-based chaotic gravitational search algorithm for global optimization

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Abstract

Gravitational search algorithm (GSA) is widely accepted as one of the effective optimization algorithms providing promising results. However, it suffers with local optima and premature convergence. To deal with those problems, chaotic gravitational constants for the gravitational search algorithm (CGSA) are proposed to enhance the efficiency of exploration via embedding chaotic maps, but the enhancement of exploration throughout iterations could somehow degrade the exploitation ability of GSA. Accordingly, this paper introduces a location update strategy inspired by the hunting mechanism of grey wolf optimizer (GWO) for improving the exploitation process of CGSA. In addition, a negative entropy function is designed to effectively control the implementation of the proposed strategy. In order to show the superior performance of the grey wolf chaotic gravitational search algorithm (GWCGSA), we carry out a comparative study of 30 benchmark functions (CEC 2014) with multiple GSAs and state-of-the-art algorithms. The experimental results show that the proposed strategy achieves better performance in most functions (greater than 20/30). Also, the experiments on seven engineering optimization problems indicate that the practicality of the proposed algorithm can be ensured.

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Acknowledgements

The authors thank sincerely the reviewers and the editor for their valuable comments and suggestions. The work of this study is supported by National Natural Science Foundation of China (NSFC) under projects Nos. 71731001 and 72174019.

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Authors and Affiliations

  1. School of Economics and Management, Beihang University, Beijing, 100191, China

    Xianrui Yu & Qiuhong Zhao

  2. Beijing Key Laboratory of Emergency Support Simulation Technologies for City Operations, Beijing, 100191, China

    Qiuhong Zhao

  3. Beijing International Science and Technology Cooperation Base for City Safety Operation and Emergency Support, Beijing, 100191, China

    Qiuhong Zhao

  4. School of Information Technology and Management, University of International Business and Economics, Beijing, 100029, China

    Qi Lin

  5. School of Economics, Ocean University of China, Qingdao, 266100, China

    Tongyu Wang

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  1. Xianrui Yu
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Correspondence to Qiuhong Zhao.

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Yu, X., Zhao, Q., Lin, Q. et al. A grey wolf optimizer-based chaotic gravitational search algorithm for global optimization. J Supercomput 79, 2691–2739 (2023). https://doi.org/10.1007/s11227-022-04754-3

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