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

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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.

Amadeu A. Coco, Cyprien Bor\'ee, Julien Baste, Laetitia Jourdan, Lucien Mousin• 2026

Related benchmarks

TaskDatasetResultRank
Archiving for solution diversityRandom instance subset
Ranking (IGD+)4.944
20
Solution diversityRandom instance (test)
Ranking4.667
20
Solution diversityEuclidean instance subset
Ranking (IGD+)4.833
20
Solution diversity optimizationCluster instance subset
Ranking (IGD+)5
20
Solution diversity archivingCluster instance 1000 nodes
Avg Ranking (HV)1.444
5
Solution diversity archivingCluster instance 2000 nodes
Avg Ranking (Hypervolume)1.167
5
Solution diversity archivingCluster instance Average across sizes
Avg Ranking (Hypervolume)1.796
5
Solution diversity archivingEuclidean 1000 nodes
Average Ranking1.556
5
Solution diversity archivingCluster instance 500 nodes
Average Ranking (Hypervolume)2.778
5
Solution diversity archivingEuclidean 500 nodes
Average Ranking2.778
5
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