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IBMSMA: An Indicator-based Multi-swarm Slime Mould Algorithm for Multi-objective Truss Optimization Problems

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Abstract

This work proposes an improved multi-objective slime mould algorithm, called IBMSMA, for solving the multi-objective truss optimization problem. In IBMSMA, the chaotic grouping mechanism and dynamic regrouping strategy are employed to improve population diversity; the shift density estimation is used to assess the superiority of search agents and to provide selection pressure for population evolution; and the Pareto external archive is utilized to maintain the convergence and distribution of the non-dominated solution set. To evaluate the performance of IBMSMA, it is applied to eight multi-objective truss optimization problems. The results obtained by IBMSMA are compared with other 14 well-known optimization algorithms on hypervolume, inverted generational distance and spacing-to-extent indicators. The Wilcoxon statistical test and Friedman ranking are used for statistical analysis. The results of this study reveal that IBMSMA can find the Pareto front with better convergence and diversity in less time than state-of-the-art algorithms, demonstrating its capability in tackling large-scale engineering design problems.

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All data, models, and code generated or used during the study appear in the submitted article.

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Acknowledgements

This work was supported by the National Science Foundation of China under Grant No. U21A20464, 62066005, and Innovation Project of Guangxi University for Nationalities Graduate Education under Grant gxun-chxs2021058.

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  1. College of Artificial Intelligence, Guangxi University for Nationalities, Nanning, 530006, China

    Shihong Yin, Qifang Luo & Yongquan Zhou

  2. Guangxi Key Laboratories of Hybrid Computation and IC Design Analysis, Nanning, 530006, China

    Shihong Yin, Qifang Luo & Yongquan Zhou

  3. Xiangsihu College of Guangxi University for Nationalities, Nanning, 530225, China

    Yongquan Zhou

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Yin, S., Luo, Q. & Zhou, Y. IBMSMA: An Indicator-based Multi-swarm Slime Mould Algorithm for Multi-objective Truss Optimization Problems. J Bionic Eng 20, 1333–1360 (2023). https://doi.org/10.1007/s42235-022-00307-9

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