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γ-Robust facility relocation problem

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  • Lim, Gino J.
  • Sonmez, Ayse Durukan

Abstract

In this paper, we consider relocating facilities, where we have demand changes in the network. Relocations are performed by closing some of the existing facilities from low demand areas and opening new ones in newly emerging areas. However, the actual changes of demand are not known in advance. Therefore, different scenarios with known probabilities are used to capture such demand changes. We develop a mixed integer programming model for facility relocation that minimizes the expected weighted distance while making sure that relative regret for each scenario is no greater than γ. We analyzed the problem structure and developed a Lagrangian Decomposition Algorithm (LDA) to expedite the solution process. Numerical experiments are carried out to show the performance of LDA against the exact solution method.

Suggested Citation

  • Lim, Gino J. & Sonmez, Ayse Durukan, 2013. "γ-Robust facility relocation problem," European Journal of Operational Research, Elsevier, vol. 229(1), pages 67-74.
  • Handle: RePEc:eee:ejores:v:229:y:2013:i:1:p:67-74
    DOI: 10.1016/j.ejor.2013.02.033
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    References listed on IDEAS

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    1. S R Gregg & J M Mulvey & J Wolpert, 1988. "A Stochastic Planning System for Siting and Closing Public Service Facilities," Environment and Planning A, , vol. 20(1), pages 83-98, January.
    2. Sonmez, Ayse Durukan & Lim, Gino J., 2012. "A decomposition approach for facility location and relocation problem with uncertain number of future facilities," European Journal of Operational Research, Elsevier, vol. 218(2), pages 327-338.
    3. Jerry R. Weaver & Richard L. Church, 1983. "Computational Procedures for Location Problems on Stochastic Networks," Transportation Science, INFORMS, vol. 17(2), pages 168-180, May.
    4. Conde, Eduardo, 2007. "Minmax regret location-allocation problem on a network under uncertainty," European Journal of Operational Research, Elsevier, vol. 179(3), pages 1025-1039, June.
    5. Daniel Serra & Vladimir Marianov, 1996. "The P-median problem in a changing network: The case of Barcelona," Economics Working Papers 180, Department of Economics and Business, Universitat Pompeu Fabra.
    6. Barcelo, Jaime & Fernandez, Elena & Jornsten, Kurt O., 1991. "Computational results from a new Lagrangean relaxation algorithm for the capacitated plant location problem," European Journal of Operational Research, Elsevier, vol. 53(1), pages 38-45, July.
    7. Yolanda M. Carson & Rajan Batta, 1990. "Locating an Ambulance on the Amherst Campus of the State University of New York at Buffalo," Interfaces, INFORMS, vol. 20(5), pages 43-49, October.
    8. Prabhakant Sinha & Andris A. Zoltners, 1979. "The Multiple-Choice Knapsack Problem," Operations Research, INFORMS, vol. 27(3), pages 503-515, June.
    9. Owen, Susan Hesse & Daskin, Mark S., 1998. "Strategic facility location: A review," European Journal of Operational Research, Elsevier, vol. 111(3), pages 423-447, December.
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    Cited by:

    1. Toso, Eli Angela V. & Alem, Douglas, 2014. "Effective location models for sorting recyclables in public management," European Journal of Operational Research, Elsevier, vol. 234(3), pages 839-860.

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