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Mathematical Programming

, Volume 102, Issue 2, pp 371–405 | Cite as

A branch and cut algorithm for hub location problems with single assignment

  • Martine Labbé
  • Hande Yaman
  • Eric Gourdin
Article

Abstract.

The hub location problem with single assignment is the problem of locating hubs and assigning the terminal nodes to hubs in order to minimize the cost of hub installation and the cost of routing the traffic in the network. There may also be capacity restrictions on the amount of traffic that can transit by hubs. The aim of this paper is to investigate polyhedral properties of these problems and to develop a branch and cut algorithm based on these results.

Keywords

Hub location Polyhedral analysis Branch and cut 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  1. 1.Université Libre de Bruxelles, Service d’OptimisationBruxellesBelgium
  2. 2.Department of Industrial EngineeringBilkent UniversityBilkentTurkey
  3. 3.France Telecom R&D, DAC/OATIssy-les-Moulineaux Cedex 9France

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