A Branch-Price-and-Cut Procedure for the Discrete Ordered Median Problem.

Autor: Deleplanque, Samuel, Labbé, Martine, Ponce, Diego, Puerto, Justo
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Zdroj: INFORMS Journal on Computing; Summer2020, Vol. 32 Issue 3, p582-599, 18p
Abstrakt: 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 small- to large-sized instances of DOMP in competitive computational time. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index