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用于解决约束桁架优化问题的多目标元启发式方法:比较分析。

Many‑objective meta-heuristic methods for solving constrained truss optimisation problems: A comparative analysis.

作者信息

Panagant Natee, Kumar Sumit, Tejani Ghanshyam G, Pholdee Nantiwat, Bureerat Sujin

机构信息

Sustainable Infrastructure Research and Development Center, Department of Mechanical Engineering, Faculty of Engineering, Khon Kaen University, Khon Kaen 40002, Thailand.

Australian Maritime College, College of Sciences and Engineering, University of Tasmania, Launceston, 7248, Australia.

出版信息

MethodsX. 2023 Apr 18;10:102181. doi: 10.1016/j.mex.2023.102181. eCollection 2023.

DOI:10.1016/j.mex.2023.102181
PMID:37152671
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10160598/
Abstract

Many-objective truss structure problems from small to large-scale problems with low to high design variables are investigated in this study. Mass, compliance, first natural frequency, and buckling factor are assigned as objective functions. Since there are limited optimization methods that have been developed for solving many-objective truss optimization issues, it is important to assess modern algorithms performance on these issues to develop more effective techniques in the future. Therefore, this study contributes by investigating the comparative performance of eighteen well-established algorithms, in various dimensions, using four metrics for solving challenging truss problems with many objectives. The statistical analysis is performed based on the objective function best mean and standard deviation outcomes, and Friedman's rank test. MMIPDE is the best algorithm as per the overall comparison, while SHAMODE with whale optimisation approach and SHAMODE are the runners-up.•A comparative test to measure the efficiency of eighteen state-of-the-practice methods is performed.•Small to large-scale truss design challenges are proposed for the validation.•The performance is measured using four metrics and Friedman's rank test.

摘要

本研究对从小规模到大规模、设计变量从少到多的多目标桁架结构问题进行了研究。将质量、柔度、一阶固有频率和屈曲因子作为目标函数。由于针对解决多目标桁架优化问题开发的优化方法有限,评估现代算法在这些问题上的性能对于未来开发更有效的技术很重要。因此,本研究通过使用四个指标,在不同维度上研究十八种成熟算法解决具有多个目标的具有挑战性的桁架问题的比较性能做出了贡献。基于目标函数的最佳均值和标准差结果以及弗里德曼秩检验进行统计分析。根据总体比较,MMIPDE是最佳算法,而采用鲸鱼优化方法的SHAMODE和SHAMODE是亚军。

•进行了一项比较测试,以衡量十八种现行方法的效率。

•提出了从小规模到大规模的桁架设计挑战以进行验证。

•使用四个指标和弗里德曼秩检验来衡量性能。

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