IDEAS home Printed from https://ideas.repec.org/p/upf/upfses/220.html
   My bibliography  Save this paper

On optimal location with treshold requirements

Author

Listed:

Abstract

The optimal location of services is one of the most important factors that affects service quality in terms of consumer access. On the other hand, services in general need to have a minimum catchment area so as to be efficient. In this paper a model is presented that locates the maximum number of services that can coexist in a given region without having losses, taking into account that they need a minimum catchment area to exist. The objective is to minimize average distance to the population. The formulation presented belongs to the class of discrete P--median--like models. A tabu heuristic method is presented to solve the problem. Finally, the model is applied to the location of pharmacies in a rural region of Spain.

Suggested Citation

  • Miquel Carreras & Daniel Serra, 1997. "On optimal location with treshold requirements," Working Papers, Research Center on Health and Economics 220, Department of Economics and Business, Universitat Pompeu Fabra.
  • Handle: RePEc:upf:upfses:220
    as

    Download full text from publisher

    File URL: https://econ-papers.upf.edu/papers/220.pdf
    File Function: Whole Paper
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    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. Hasan Pirkul & David A. Schilling, 1991. "The Maximal Covering Location Problem with Capacities on Total Workload," Management Science, INFORMS, vol. 37(2), pages 233-248, February.
    3. P J Densham & G Rushton, 1992. "Strategies for solving large location-allocation problems by heuristic methods," Environment and Planning A, Pion Ltd, London, vol. 24(2), pages 289-304, February.
    4. P V Balakrishnan & J E Storbeck, 1991. "McTHRESH: modeling maximum coverage with threshold constraints," Environment and Planning B: Planning and Design, Pion Ltd, London, vol. 18(4), pages 459-472, July.
    5. labbe, M. & Peeters, D. & Thisse, J.F., 1992. "Location on Networks," Papers 9216, Universite Libre de Bruxelles - C.E.M.E..
      • LABBE, Martine & PEETERS, Dominique & THISSE, Jacques-François, 1993. "Location on Networks," CORE Discussion Papers 1993040, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. P V Balakrishnan & A Desai & J E Storbeck, 1994. "Efficiency evaluation of retail outlet networks," Environment and Planning B: Planning and Design, Pion Ltd, London, vol. 21(4), pages 477-488, July.
    7. J R Current & J E Storbeck, 1988. "Capacitated covering models," Environment and Planning B: Planning and Design, Pion Ltd, London, vol. 15(2), pages 153-163, March.
    8. Cornuejols, G. & Sridharan, R. & Thizy, J. M., 1991. "A comparison of heuristics and relaxations for the capacitated plant location problem," European Journal of Operational Research, Elsevier, vol. 50(3), pages 280-297, February.
    9. ReVelle, Charles, 1993. "Facility siting and integer-friendly programming," European Journal of Operational Research, Elsevier, vol. 65(2), pages 147-158, March.
    10. P V Balakrishnan & A Desai & J E Storbeck, 1994. "Efficiency Evaluation of Retail Outlet Networks," Environment and Planning B, , vol. 21(4), pages 477-488, August.
    11. J R Current & J E Storbeck, 1988. "Capacitated Covering Models," Environment and Planning B, , vol. 15(2), pages 153-163, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Francisco Silva & Daniel Serra, 2008. "Incorporating waiting time in competitive location models: Formulations and heuristics," Economics Working Papers 1091, Department of Economics and Business, Universitat Pompeu Fabra.
    2. Teixeira, Joao C. & Antunes, Antonio P., 2008. "A hierarchical location model for public facility planning," European Journal of Operational Research, Elsevier, vol. 185(1), pages 92-104, February.

    More about this item

    Keywords

    Discrete facility location; threshold; tabu search;

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:upf:upfses:220. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (). General contact details of provider: http://www.econ.upf.edu/ .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.