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A parallel multiple reference point approach for multi-objective optimization

Abstract : This paper presents a multiple reference point approach for multi-objective optimization problems of discrete and combinatorial nature. When approximating the Pareto Frontier, multiple reference points can be used instead of traditional techniques. These multiple reference points can easily be implemented in a parallel algorithmic framework. The reference points can be uniformly distributed within a region that covers the Pareto Frontier. An evolutionary algorithm is based on an achievement scalarizing function that does not impose any restrictions with respect to the location of the reference points in the objective space. Computational experiments are performed on a bi-objective flow-shop scheduling problem. Results, quality measures as well as a statistical analysis are reported in the paper.
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https://hal.archives-ouvertes.fr/hal-00522619
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Submitted on : Monday, October 4, 2010 - 2:39:47 PM
Last modification on : Wednesday, November 17, 2021 - 12:27:09 PM
Long-term archiving on: : Wednesday, January 5, 2011 - 2:25:08 AM

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José Figueira, Arnaud Liefooghe, El-Ghazali Talbi, Andrzej Wierzbicki. A parallel multiple reference point approach for multi-objective optimization. European Journal of Operational Research, Elsevier, 2010, 205 (2), pp.390 - 400. ⟨10.1016/j.ejor.2009.12.027⟩. ⟨hal-00522619⟩

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