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A probabilistic model applied to emergency service vehicle location

Listed author(s):
  • Beraldi, P.
  • Bruni, M.E.
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    This paper is concerned with the formulation and the solution of a probabilistic model for determining the optimal location of facilities in congested emergency systems. The inherent uncertainty which characterizes the decision process is handled by a new stochastic programming paradigm which embeds the probabilistic constraints within the traditional two-stage framework. The resulting model drops simplifying assumptions on servers independence allowing at the same time to handle the spatial dependence of demand calls. An exact solution method and different tailored heuristics are presented to efficiently solve the problem. Computational experience is reported with application to various networks.

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    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 196 (2009)
    Issue (Month): 1 (July)
    Pages: 323-331

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    Handle: RePEc:eee:ejores:v:196:y:2009:i:1:p:323-331
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    1. Marianov, Vladimir & ReVelle, Charles, 1996. "The Queueing Maximal availability location problem: A model for the siting of emergency vehicles," European Journal of Operational Research, Elsevier, vol. 93(1), pages 110-120, August.
    2. C ReVelle & K Hogan, 1988. "A Reliability-Constrained Siting Model with Local Estimates of Busy Fractions," Environment and Planning B, , vol. 15(2), pages 143-152, June.
    3. 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.
    4. Beraldi, P. & Bruni, M. E. & Conforti, D., 2004. "Designing robust emergency medical service via stochastic programming," European Journal of Operational Research, Elsevier, vol. 158(1), pages 183-193, October.
    5. Kathleen Hogan & Charles ReVelle, 1986. "Concepts and Applications of Backup Coverage," Management Science, INFORMS, vol. 32(11), pages 1434-1444, November.
    6. Fernando Borrás & Jesús Pastor, 2002. "The Ex-Post Evaluation of the Minimum Local Reliability Level: An Enhanced Probabilistic Location Set Covering Model," Annals of Operations Research, Springer, vol. 111(1), pages 51-74, March.
    7. A. Charnes & W. W. Cooper & G. H. Symonds, 1958. "Cost Horizons and Certainty Equivalents: An Approach to Stochastic Programming of Heating Oil," Management Science, INFORMS, vol. 4(3), pages 235-263, April.
    8. 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.
    9. C ReVelle & K Hogan, 1988. "A reliability-constrained siting model with local estimates of busy fractions," Environment and Planning B: Planning and Design, Pion Ltd, London, vol. 15(2), pages 143-152, March.
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