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The P-median problem in a changing network: The case of Barcelona

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Abstract

In this paper a p--median--like model is formulated to address the issue of locating new facilities when there is uncertainty. Several possible future scenarios with respect to demand and/or the travel times/distance parameters are presented. The planner will want a strategy of positioning that will do as ``well as possible'' over the future scenarios. This paper presents a discrete location model formulation to address this P--Median problem under uncertainty. The model is applied to the location of fire stations in Barcelona.

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  • 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.
    • Handle: RePEc:upf:upfgen:180
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    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. D Serra & S Ratick & C ReVelle, 1996. "The Maximum Capture Problem with Uncertainty," Environment and Planning B, , vol. 23(1), pages 49-59, February.
    3. M S Daskin & A Haghani, 1984. "Multiple Vehicle Routing and Dispatching to an Emergency Scene," Environment and Planning A, , vol. 16(10), pages 1349-1359, October.
    4. Michael B. Teitz & Polly Bart, 1968. "Heuristic Methods for Estimating the Generalized Vertex Median of a Weighted Graph," Operations Research, INFORMS, vol. 16(5), pages 955-961, October.
    5. Pitu B. Mirchandani & Amedeo R. Odoni, 1979. "Locations of Medians on Stochastic Networks," Transportation Science, INFORMS, vol. 13(2), pages 85-97, May.
    6. 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.
    7. S. L. Hakimi, 1965. "Optimum Distribution of Switching Centers in a Communication Network and Some Related Graph Theoretic Problems," Operations Research, INFORMS, vol. 13(3), pages 462-475, June.
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    Cited by:

    1. Rosa Colomé & Helena Lourenço & Daniel Serra, 2003. "A New Chance-Constrained Maximum Capture Location Problem," Annals of Operations Research, Springer, vol. 122(1), pages 121-139, September.
    2. Lim, Gino J. & Sonmez, Ayse Durukan, 2013. "γ-Robust facility relocation problem," European Journal of Operational Research, Elsevier, vol. 229(1), pages 67-74.
    3. Randeep Bhatia & Sudipto Guha & Samir Khuller & Yoram J. Sussmann, 1998. "Facility Location with Dynamic Distance Functions," Journal of Combinatorial Optimization, Springer, vol. 2(3), pages 199-217, September.
    4. Walther, Grit & Schatka, Anne & Spengler, Thomas S., 2012. "Design of regional production networks for second generation synthetic bio-fuel – A case study in Northern Germany," European Journal of Operational Research, Elsevier, vol. 218(1), pages 280-292.
    5. Daniel Serra & Rosa Colomé, 2000. "Supermarket key attributes and location decisions: A comparative study between British and Spanish consumers," Economics Working Papers 469, Department of Economics and Business, Universitat Pompeu Fabra.
    6. Afshartous, David & Guan, Yongtao & Mehrotra, Anuj, 2009. "US Coast Guard air station location with respect to distress calls: A spatial statistics and optimization based methodology," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1086-1096, August.
    7. Vladimir Marianov & Daniel Serra, 2009. "Median problems in networks," Economics Working Papers 1151, Department of Economics and Business, Universitat Pompeu Fabra.
    8. V Marianov & F Fresard, 2005. "A procedure for the strategic planning of locations, capacities and districting of jails: application to Chile," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(3), pages 244-251, March.
    9. James H. Lambert & Mark W. Farrington, 2006. "Risk‐Based Objectives for the Allocation of Chemical, Biological, and Radiological Air Emissions Sensors," Risk Analysis, John Wiley & Sons, vol. 26(6), pages 1659-1674, December.
    10. Bonneu, Florent & Thomas-Agnan, Christine, 2009. "Spatial point process models for location-allocation problems," Computational Statistics & Data Analysis, Elsevier, vol. 53(8), pages 3070-3081, June.

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    More about this item

    Keywords

    Discrete facility location; scenarios; emergency services location;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)
    • R53 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Regional Government Analysis - - - Public Facility Location Analysis; Public Investment and Capital Stock

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