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Applying Lagrangian relaxation to the resolution of two‐stage location problems

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  • A. Marín
  • B. Pelegrín

Abstract

A family of two‐stage location problems is considered. These problems involve a systemproviding a choice of depots andyor plants, each with an associated location cost, and a setof demand points which must be supplied, in such a way that the total cost is minimized. Byusing Lagrangian relaxation, lower bounds and heuristic solutions are obtained for two kindsof formulation involving two or three indexes for each transportation variable. The goodnessof both formulations is compared by means of a computational study, and the results forseveral instances are presented. Copyright Kluwer Academic Publishers 1999

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  • A. Marín & B. Pelegrín, 1999. "Applying Lagrangian relaxation to the resolution of two‐stage location problems," Annals of Operations Research, Springer, vol. 86(0), pages 179-198, January.
    • Handle: RePEc:spr:annopr:v:86:y:1999:i:0:p:179-198:10.1023/a:1018998500803
    DOI: 10.1023/A:1018998500803
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    Cited by:

    1. Melo, M.T. & Nickel, S. & Saldanha-da-Gama, F., 2009. "Facility location and supply chain management - A review," European Journal of Operational Research, Elsevier, vol. 196(2), pages 401-412, July.
    2. Drexl, Andreas & Klose, Andreas, 2001. "Facility location models for distribution system design," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 546, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    3. Keskin, Burcu B. & Uster, Halit, 2007. "Meta-heuristic approaches with memory and evolution for a multi-product production/distribution system design problem," European Journal of Operational Research, Elsevier, vol. 182(2), pages 663-682, October.

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