arrow
Return

Solving hypervolume scalarizations for MOCO problems

delete2026-06-11
delete0
delete
OA
AI
G
Gonçalo Lopes *
K
Kathrin Klamroth
L
Luís Paquete
DOI:10.1016/j.cor.2026.107578delete
deleteOriginal
deleteShare
deleteSave
View PDF
Abstract

Abstract

En 中文
Hypervolume scalarizations have emerged as a promising strategy to find efficient solutions to multiobjective combinatorial optimization problems. Despite their potential, the exact optimization of hypervolume scalarizations remains challenging. This paper introduces exact approaches that exploit particular transformations to compute optimal hypervolume-scalarized solutions efficiently. Extensive experiments on multiobjective knapsack problems show that our methods can improve upon the current state-of-the-art exact approaches that are based on straightforward linearizations, achieving improvements of several orders of magnitude in terms of problem size, number of objectives, and number of reference points.
Keywords:
Multiobjective combinatorial optimization
Hypervolume scalarization
Representation of the nondominated set
Knapsack problem
AI Summary

AI Summary

Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.

Journal

C
COMPUTERS & OPERATIONS RESEARCH
IF:
4.3
Papers:
184
Citations:
0

Organization

U
University of Wuppertal
Scholars:
3.3K
Papers: 2.8K
Citations: 4.7K
U
university of coimbra
Scholars:
961
Papers: 386
Citations: 1