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arXiv 2310.03055cs.LGcs.AI
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用于求解工程设计问题的、结合基于聚类的搜索空间约简方法的改进LAB算法

Modified LAB Algorithm with Clustering-based Search Space Reduction Method for solving Engineering Design Problems

Institute of Artificial Intelligence, Dr Vishwanath Karad MIT World Peace University(维什瓦纳特·卡拉德博士麻省理工世界和平大学人工智能研究所)

Ruturaj Reddy, Utkarsh Gupta, Ishaan Kale, Apoorva Shastri, Anand J Kulkarni

AI总结:

本研究提出融合轮盘赌法、群体间竞争机制的改进LAB算法,以及可处理约束问题的基于聚类的搜索空间约简方法,经基准测试与统计检验验证,算法鲁棒性和探索能力更优,可作为传统约束处理技术的替代方案。

摘要:

本文提出了一种改进的LAB算法。该算法以原始LAB算法(Reddy等人,2023)为基础,后者是一种受社会行为启发的算法,通过对群体内的竞争与学习行为建模来建立层级角色。本文提出的算法融合了轮盘赌法和约简因子,引入了群体间竞争并可迭代缩小样本空间。\n研究通过求解CEC 2005和CEC 2017的基准测试问题对该算法进行了验证,采用双侧成对符号秩Wilcoxon检验、Friedman秩检验等标准统计检验对解进行验证。结果显示,该算法的鲁棒性与搜索空间探索能力均有所提升且表现更优。\n此外,本文还提出了基于聚类的搜索空间约简(Clustering-Based Search Space Reduction, C-SSR)方法,使该算法能够求解带约束的问题。C-SSR方法可让算法识别满足约束条件的可行域聚类,助力得到最优解,其有效性得到验证,可作为传统约束处理技术的潜在替代方案。本文还将改进LAB算法的求解结果与其他近年提出的元启发式算法的结果进行了对比。

英文摘要:

A modified LAB algorithm is introduced in this paper. It builds upon the original LAB algorithm (Reddy et al. 2023), which is a socio-inspired algorithm that models competitive and learning behaviours within a group, establishing hierarchical roles. The proposed algorithm incorporates the roulette wheel approach and a reduction factor introducing inter-group competition and iteratively narrowing down the sample space. The algorithm is validated by solving the benchmark test problems from CEC 2005 and CEC 2017. The solutions are validated using standard statistical tests such as two-sided and pairwise signed rank Wilcoxon test and Friedman rank test. The algorithm exhibited improved and superior robustness as well as search space exploration capabilities. Furthermore, a Clustering-Based Search Space Reduction (C-SSR) method is proposed, making the algorithm capable to solve constrained problems. The C-SSR method enables the algorithm to identify clusters of feasible regions, satisfying the constraints and contributing to achieve the optimal solution. This method demonstrates its effectiveness as a potential alternative to traditional constraint handling techniques. The results obtained using the Modified LAB algorithm are then compared with those achieved by other recent metaheuristic algorithms.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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