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Multi-Period Facility Location Problem with an Uncertain Number of Servers

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  • Vatsa, Amit Kumar

Abstract

We study the problem of allocating doctors to primary health centers. We model the prob- lem as a multi-period uncapacitated facility location problem under uncertainty. The problem is unconventional in that the uncertainty is in the number and period of availability of doctors. We use a minmax regret approach to solve the problem. We present solution techniques using local search and tabu search and compare our solutions with optimal solutions obtained using commercial solvers. We see that one of our tabu search algorithms is faster and yields optimal solutions in the problems we tested on.

Suggested Citation

  • Vatsa, Amit Kumar, 2014. "Multi-Period Facility Location Problem with an Uncertain Number of Servers," IIMA Working Papers WP2014-02-06, Indian Institute of Management Ahmedabad, Research and Publication Department.
    • Handle: RePEc:iim:iimawp:12808
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    References listed on IDEAS

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    1. Killmer, K. A. & Anandalingam, G. & Malcolm, S. A., 2001. "Siting noxious facilities under uncertainty," European Journal of Operational Research, Elsevier, vol. 133(3), pages 596-607, September.
    2. Trevor Hale & Christopher Moberg, 2003. "Location Science Research: A Review," Annals of Operations Research, Springer, vol. 123(1), pages 21-35, October.
    3. Current, John & Ratick, Samuel & ReVelle, Charles, 1998. "Dynamic facility location when the total number of facilities is uncertain: A decision analysis approach," European Journal of Operational Research, Elsevier, vol. 110(3), pages 597-609, November.
    4. Albareda-Sambola, Maria & Fernández, Elena & Saldanha-da-Gama, Francisco, 2011. "The facility location problem with Bernoulli demands," Omega, Elsevier, vol. 39(3), pages 335-345, June.
    5. Tony J. Van Roy & Donald Erlenkotter, 1982. "A Dual-Based Procedure for Dynamic Facility Location," Management Science, INFORMS, vol. 28(10), pages 1091-1105, October.
    6. Berman, Oded & Krass, Dmitry & Drezner, Zvi, 2003. "The gradual covering decay location problem on a network," European Journal of Operational Research, Elsevier, vol. 151(3), pages 474-480, December.
    7. Antunes, Antonio & Peeters, Dominique, 2000. "A dynamic optimization model for school network planning," Socio-Economic Planning Sciences, Elsevier, vol. 34(2), pages 101-120, June.
    8. Gunawardane, Gamini, 1982. "Dynamic versions of set covering type public facility location problems," European Journal of Operational Research, Elsevier, vol. 10(2), pages 190-195, June.
    9. George O. Wesolowsky & William G. Truscott, 1975. "The Multiperiod Location-Allocation Problem with Relocation of Facilities," Management Science, INFORMS, vol. 22(1), pages 57-65, September.
    10. Erlenkotter, Donald, 1981. "A comparative study of approaches to dynamic location problems," European Journal of Operational Research, Elsevier, vol. 6(2), pages 133-143, February.
    11. Brotcorne, Luce & Laporte, Gilbert & Semet, Frederic, 2003. "Ambulance location and relocation models," European Journal of Operational Research, Elsevier, vol. 147(3), pages 451-463, June.
    12. VAN ROY, Tony J. & ERLENKOTTER, Donald, 1982. "A dual-based procedure for dynamic facility location," LIDAM Reprints CORE 490, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    13. Berman, Oded & Wang, Jiamin, 2011. "The minmax regret gradual covering location problem on a network with incomplete information of demand weights," European Journal of Operational Research, Elsevier, vol. 208(3), pages 233-238, February.
    14. Antunes, Antonio & Peeters, Dominique, 2001. "On solving complex multi-period location models using simulated annealing," European Journal of Operational Research, Elsevier, vol. 130(1), pages 190-201, April.
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