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Facility Reliability Issues in Network p -Median Problems: Strategic Centralization and Co-Location Effects

Author

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  • Oded Berman

    (Rotman School of Management, University of Toronto, 105 St. George Street, Toronto, Ontario, Canada M5S 3E6)

  • Dmitry Krass

    (Rotman School of Management, University of Toronto, 105 St. George Street, Toronto, Ontario, Canada M5S 3E6)

  • Mozart B. C. Menezes

    (HEC School of Management, Paris, 1 Rue de la Liberation, Jouy-en-Josas, 78351, France)

Abstract

In this paper, we analyze a facility location model where facilities may be subject to disruptions, causing customers to seek service from the operating facilities. We generalize the classical p -median problem on a network to explicitly include the failure probabilities, and analyze structural and algorithmic aspects of the resulting model. The optimal location patterns are seen to be strongly dependent on the probability of facility failure, with facilities becoming more centralized, or even co-located, as the failure probability grows. Several exact and heuristic solution approaches are developed. Results of numerical experiments are reported.

Suggested Citation

  • Oded Berman & Dmitry Krass & Mozart B. C. Menezes, 2007. "Facility Reliability Issues in Network p -Median Problems: Strategic Centralization and Co-Location Effects," Operations Research, INFORMS, vol. 55(2), pages 332-350, April.
    • Handle: RePEc:inm:oropre:v:55:y:2007:i:2:p:332-350
    DOI: 10.1287/opre.1060.0348
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    References listed on IDEAS

    as
    1. Mark S. Daskin, 1983. "A Maximum Expected Covering Location Model: Formulation, Properties and Heuristic Solution," Transportation Science, INFORMS, vol. 17(1), pages 48-70, February.
    2. 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.
    3. Oded Berman & Richard C. Larson & Samuel S. Chiu, 1985. "Optimal Server Location on a Network Operating as an M / G /1 Queue," Operations Research, INFORMS, vol. 33(4), pages 746-771, August.
    4. Fisher, M.L. & Nemhauser, G.L. & Wolsey, L.A., 1978. "An analysis of approximations for maximizing submodular set functions," LIDAM Reprints CORE 341, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Lawrence V. Snyder & Mark S. Daskin, 2005. "Reliability Models for Facility Location: The Expected Failure Cost Case," Transportation Science, INFORMS, vol. 39(3), pages 400-416, August.
    6. Fisher, M.L. & Nemhauser, G.L. & Wolsey, L.A., 1978. "An analysis of approximations for maximizing submodular set functions - 1," LIDAM Reprints CORE 334, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Jerry R. Weaver & Richard L. Church, 1985. "A Median Location Model with Nonclosest Facility Service," Transportation Science, INFORMS, vol. 19(1), pages 58-74, February.
    8. S. L. Hakimi, 1964. "Optimum Locations of Switching Centers and the Absolute Centers and Medians of a Graph," Operations Research, INFORMS, vol. 12(3), pages 450-459, June.
    9. Barbaros C. Tansel & Richard L. Francis & Timothy J. Lowe, 1983. "State of the Art---Location on Networks: A Survey. Part I: The p-Center and p-Median Problems," Management Science, INFORMS, vol. 29(4), pages 482-497, April.
    10. A. J. Goldman, 1971. "Optimal Center Location in Simple Networks," Transportation Science, INFORMS, vol. 5(2), pages 212-221, May.
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