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arXiv 2602.04745cs.NE
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多样性对多目标局部搜索有界档案的影响

Impact of diversity on bounded archives for multi-objective local search

Centrale Lille(里尔中央理工学院);Lille Catholic University(里尔天主教大学)

Amadeu A. Coco, Cyprien Borée, Julien Baste, Laetitia Jourdan, Lucien Mousin

AI总结:

本文提出Hamming距离档案算法,通过增强解空间多样性提升多目标优化效率。

摘要:

本文针对多目标优化问题(MOOPs)元启发式算法开发中的两个关键挑战:非支配解的指数增长以及元启发式算法倾向于集中在帕累托前沿的子集。为应对第一个问题,采用有界档案作为战略性机制,有效管理不断增加的非支配解数量。针对第二个挑战,深入探讨现有文献中的解多样性算法。认识到当前方法主要集中在目标空间内的多样性,本研究引入创新方法,专门设计以增强解空间内的多样性。结果表明,所提出的Hamming距离档案算法在多目标局部搜索中优于Adaptive Grid档案和Hypervolume档案。这一结果表明,通过增强元启发式算法的整体效率,为解决MOOPs提供了有前景的途径。

英文摘要:

This work tackles two critical challenges related to the development of metaheuristics for Multi-Objective Optimization Problems (MOOPs): the exponential growth of non-dominated solutions and the tendency of metaheuristics to disproportionately concentrate their search on a subset of the Pareto Front. To counteract the first, bounded archives are employed as a strategic mechanism for effectively managing the increasing number of non-dominated solutions. Addressing the second challenge involves an in-depth exploration of solution diversity algorithms found in existing literature. Upon recognizing that current approaches predominantly center on diversity within the objective space, this research introduces innovative methods specifically designed to enhance diversity in the solution space. Results demonstrate the efficacy of the Hamming Distance Archiving Algorithm, one of the newly proposed algorithms for multi-objective local search, surpassing the performance of the Adaptive Grid Archiving and the Hypervolume Archiving, both drawn from the literature. This outcome suggests a promising avenue for enhancing the overall efficiency of metaheuristics employed for solving MOOPs.

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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