On hub location problems in geographically flexible networks

In this paper, we propose an extension of the uncapacitated hub location problem where the potential posi-tions of the hubs are not fixed in advance. Instead, they are allowed to belong to a region around an initialdiscrete set of nodes. We give a general framework in which the collection, transport...

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Detalles Bibliográficos
Autores: Blanco Izquierdo, Víctor, Puerto Albandoz, Justo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/134941
Acceso en línea:https://hdl.handle.net/11441/134941
https://doi.org/10.1111/itor.12993
Access Level:acceso abierto
Palabra clave:hub location
mixed integer nonlinear programming
neighborhoods
network design
Descripción
Sumario:In this paper, we propose an extension of the uncapacitated hub location problem where the potential posi-tions of the hubs are not fixed in advance. Instead, they are allowed to belong to a region around an initialdiscrete set of nodes. We give a general framework in which the collection, transportation, and distributioncosts are based on norm-based distances and the hub-activation setup costs depend not only on the locationof the hub that are opened but also on the size of the region where they are placed. Two alternative mathemat-ical programming formulations are proposed. The first one is a compact formulation while the second oneinvolves a family of constraints of exponential size that we separate efficiently giving rise to a branch-and-cutalgorithm. The results of an extensive computational experience are reported showing the advantages of eachof the approaches.