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arXiv · 2504.11882

Seeking and leveraging alternative variable dependency concepts in gray-box-elusive bimodal land-use allocation problems

J. Maciążek·M. W. Przewozniczek·J. Schwaab
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Abstract

Solving land-use allocation problems can help us to deal with some of the most urgent global environmental issues. Since these problems are NP-hard, effective optimizers are needed to handle them. The knowledge about variable dependencies allows for proposing such tools. However, in this work, we consider a real-world multi-objective problem for which standard variable dependency discovery techniques are inapplicable. Therefore, using linkage-based variation operators is unreachable. To address this issue, we propose a definition of problem-dedicated variable dependency. On this base, we propose obtaining masks of dependent variables. Using them, we construct three novel crossover operators. The results concerning real-world test cases show that introducing our propositions into two well-known optimizers (NSGA-II, MOEA/D) dedicated to multi-objective optimization significantly improves their effectiveness.

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J. Maciążek, M. W. Przewozniczek, J. Schwaab. 2025-04-16. Seeking and leveraging alternative variable dependency concepts in gray-box-elusive bimodal land-use allocation problems. https://doi.org/10.1145/3712256.3726419

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