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

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...

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Detalles Bibliográficos
Autores: Deleplanque, Samuel, Labbé, Martine, Ponce López, Diego, Puerto Albandoz, Justo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/138653
Acceso en línea:https://hdl.handle.net/11441/138653
https://doi.org/10.1287/ijoc.2019.0915
Access Level:acceso abierto
Palabra clave:discrete optimization
location theory
branch and price
ordered median problems
Descripción
Sumario: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.