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Two phase method for Lorenz dominance in biobjective combinatorial optimization

Abstract : The two phase method is a well-known method to find Pareto optimal solutions to biobjective combinatorial optimization problems [Ulungu and Teghem, 95]. We adapt this method to Lorenz dominance, a model proposed in economics to refine Pareto dominance by focusing on well-balanced solutions. This adaptation amounts to computing the solutions that optimize an OWA aggregator [Yager, 98] in a first phase, and all the remaining Lorenz optimal solutions in a second phase. We present the results obtained for different biobjective combinatorial optimization problems.
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https://hal.archives-ouvertes.fr/hal-01391746
Contributor : Christine Okret-Manville <>
Submitted on : Thursday, November 3, 2016 - 5:12:03 PM
Last modification on : Thursday, January 21, 2021 - 11:38:01 AM

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  • HAL Id : hal-01391746, version 1

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Lucie Galand, Thibaut Lust. Two phase method for Lorenz dominance in biobjective combinatorial optimization. 26th European Conference on Operational Research (EURO 2013), Jul 2013, Rome, Italy. ⟨hal-01391746⟩

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