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arXiv · 1606.09279

The matching relaxation for a class of generalized set partitioning problems

Phillippe Samer·Evellyn Cavalcante·Sebastián Urrutia·Johan Oppen
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Abstract

This paper introduces a discrete relaxation for the class of combinatorial optimization problems which can be described by a set partitioning formulation under packing constraints. We present two combinatorial relaxations based on computing maximum weighted matchings in suitable graphs. Besides providing dual bounds, the relaxations are also used on a variable reduction technique and a matheuristic. We show how that general method can be tailored to sample applications, and also perform a successful computational evaluation with benchmark instances of a problem in maritime logistics.

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Phillippe Samer, Evellyn Cavalcante, Sebastián Urrutia, Johan Oppen. 2016-06-29. The matching relaxation for a class of generalized set partitioning problems. https://doi.org/10.1016/j.dam.2018.05.033

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