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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.

Suggested Citation

  • 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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    File URL: https://econ-papers.upf.edu/papers/180.pdf
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    References listed on IDEAS

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    1. D Serra & S Ratick & C ReVelle, 1996. "The maximum capture problem with uncertainty," Environment and Planning B: Planning and Design, Pion Ltd, London, vol. 23(1), pages 49-59, January.
    2. 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.
    3. M S Daskin & A Haghani, 1984. "Multiple vehicle routing and dispatching to an emergency scene," Environment and Planning A, Pion Ltd, London, vol. 16(10), pages 1349-1359, October.
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    Cited by:

    1. Rosa Colomé & Helena Ramalhinho-Lourenço & Daniel Serra, 2003. "A new chance-constrained maximum capture location problem," Economics Working Papers 661, Department of Economics and Business, Universitat Pompeu Fabra.
    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. 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.
    4. 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.
    5. 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.
    6. Vladimir Marianov & Daniel Serra, 2009. "Median problems in networks," Economics Working Papers 1151, Department of Economics and Business, Universitat Pompeu Fabra.
    7. repec:pal:jorsoc:v:56:y:2005:i:3:d:10.1057_palgrave.jors.2601790 is not listed on IDEAS
    8. 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.

    More about this item

    Keywords

    Discrete facility location; scenarios; emergency services location;

    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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