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arXiv · 1802.03191

An extended version of a Branch-Price-and-Cut Procedure for the Discrete Ordered Median Problem

Samuel Deleplanque·Martine Labbé·Diego Ponce·Justo Puerto
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Abstract

The Discrete Ordered Median Problem (DOMP) is formulated as a set partitioning problem using an exponential number of variables. Each variable corresponds to a set of demand points allocated to the same facility with the information of the sorting position of their corresponding costs. We develop a column generation approach to solve the continuous relaxation of this model. Then, we apply a branch-price-and-cut algorithm to solve to optimality small to moderate size of DOMP in competitive computational time.

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Samuel Deleplanque, Martine Labbé, Diego Ponce, Justo Puerto. 2018-02-09. An extended version of a Branch-Price-and-Cut Procedure for the Discrete Ordered Median Problem. https://arxiv.org/abs/1802.03191

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