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arXiv · 1207.4452

Pareto Local Optima of Multiobjective NK-Landscapes with Correlated Objectives

Sébastien Verel·Arnaud Liefooghe·Laetitia Jourdan·Clarisse Dhaenens
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Abstract

In this paper, we conduct a fitness landscape analysis for multiobjective combinatorial optimization, based on the local optima of multiobjective NK-landscapes with objective correlation. In single-objective optimization, it has become clear that local optima have a strong impact on the performance of metaheuristics. Here, we propose an extension to the multiobjective case, based on the Pareto dominance. We study the co-influence of the problem dimension, the degree of non-linearity, the number of objectives and the correlation degree between objective functions on the number of Pareto local optima.

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Sébastien Verel, Arnaud Liefooghe, Laetitia Jourdan, Clarisse Dhaenens. 2012-07-18. Pareto Local Optima of Multiobjective NK-Landscapes with Correlated Objectives. https://arxiv.org/abs/1207.4452

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