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Median problems in networks

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Abstract

The P-median problem is a classical location model “par excellence”. In this paper we, first examine the early origins of the problem, formulated independently by Louis Hakimi and Charles ReVelle, two of the fathers of the burgeoning multidisciplinary field of research known today as Facility Location Theory and Modelling. We then examine some of the traditional heuristic and exact methods developed to solve the problem. In the third section we analyze the impact of the model in the field. We end the paper by proposing new lines of research related to such a classical problem.

Suggested Citation

  • Vladimir Marianov & Daniel Serra, 2009. "Median problems in networks," Economics Working Papers 1151, Department of Economics and Business, Universitat Pompeu Fabra.
  • Handle: RePEc:upf:upfgen:1151
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    File URL: https://econ-papers.upf.edu/papers/1151.pdf
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    References listed on IDEAS

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    1. Mladenovic, Nenad & Brimberg, Jack & Hansen, Pierre & Moreno-Perez, Jose A., 2007. "The p-median problem: A survey of metaheuristic approaches," European Journal of Operational Research, Elsevier, vol. 179(3), pages 927-939, June.
    2. 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.
    3. Narula, Subhash C., 1984. "Hierarchical location-allocation problems: A classification scheme," European Journal of Operational Research, Elsevier, vol. 15(1), pages 93-99, January.
    4. 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.
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    Cited by:

    1. Burkey, M.L. & Bhadury, J. & Eiselt, H.A., 2012. "A location-based comparison of health care services in four U.S. states with efficiency and equity," Socio-Economic Planning Sciences, Elsevier, vol. 46(2), pages 157-163.

    More about this item

    Keywords

    P-median; location modelling;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • L80 - Industrial Organization - - Industry Studies: Services - - - General

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