A column generation approach for the maximal covering location problem

This article presents a column generation algorithm to calculate new improved lower bounds to the solution of maximal covering location problems formulated as a p-median problem. This reformulation leads to instances that are difficult for column generation methods. The traditional column generation...

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Detalles Bibliográficos
Autores: Pereira, Marcos Antonio [UNESP], Lorena, Luiz Antonio Nogueira, Senne, Edson Luiz França [UNESP]
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2007
País:Brasil
Institución:Universidade Estadual Paulista (UNESP)
Repositorio:Repositório Institucional da UNESP
Idioma:inglés
OAI Identifier:oai:repositorio.unesp.br:11449/225595
Acceso en línea:http://dx.doi.org/10.1111/j.1475-3995.2007.00593.x
http://hdl.handle.net/11449/225595
Access Level:acceso abierto
Palabra clave:Column generation
Facility location
Lagrangean/surrogate relaxation
Descripción
Sumario:This article presents a column generation algorithm to calculate new improved lower bounds to the solution of maximal covering location problems formulated as a p-median problem. This reformulation leads to instances that are difficult for column generation methods. The traditional column generation method is compared with the new approach, where the reduced cost criterion used at the column selection is modified by a Lagrangean/surrogate multiplier. The efficiency of the new approach is tested with real data, where computational tests were conducted and showed the impact of sparsity and degeneracy on column generation-based methods. © 2017 Wiley. All rights reserved.