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

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.

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Publication Details

Journal
arXiv (Cornell University)
Published
2026-02-04
DOI
https://doi.org/10.48550/arxiv.2602.04745
Primary Topic
Advanced Image and Video Retrieval Techniques
Type
article
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article

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

Lucien Mousin, Amadeu Almeida Coco, Julien Baste, Laëtitia Jourdan et al.
arXiv (Cornell University)
Advanced Image and Video Retrieval Techniques
article

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

Lucien Mousin, Amadeu Almeida Coco, Julien Baste, Laëtitia Jourdan, Cyprien Borée
article en

Abstract

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.

arXiv (Cornell University)
Université de Lille (FR), Centre de Recherche en Informatique (FR)
Advanced Image and Video Retrieval Techniques
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