IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v25y1979i1p107-112.html
   My bibliography  Save this article

Note--On the Maximal Covering Location Problem and the Generalized Assignment Problem

Author

Listed:
  • T. D. Klastorin

    (University of Washington)

Abstract

In many public sector location problems, it is often desirable to locate facilities in such a way to minimize the number (or cost) of facilities while insuring tint all demand centers are within a stated maximal service time front any facility. However, when insufficient resources exist to allow die construction of enough facilities to serve all demand centers within the alloted time, the location problem is frequently restated in order to locate the budgeted facilities to serve the serviced population. Problems of the latter type are generally known as maximal covering location problems, which may have a number of extensions, including mandatory closeness constraints which place an upper bound on the maximal service time requirement for the entire population. This note demonstrates how this class of frequently encountered problems can be formulated as generalized assignment problems within the conceptual framework presented by Ross and Soland (Ross, G. T., R. Soland. 1977. Modeling facility location problems as generalized assignment problems. Management Sci. 24 (3, November) 345-357.) for other discrete public and private location problems.

Suggested Citation

  • T. D. Klastorin, 1979. "Note--On the Maximal Covering Location Problem and the Generalized Assignment Problem," Management Science, INFORMS, vol. 25(1), pages 107-112, January.
    • Handle: RePEc:inm:ormnsc:v:25:y:1979:i:1:p:107-112
    DOI: 10.1287/mnsc.25.1.107
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.25.1.107
    Download Restriction: no
    File URL: https://libkey.io/10.1287/mnsc.25.1.107?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

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


    Cited by:

    1. Farrow, Andrew & Risinamhodzi, Kumbirai & Zingore, Shamie & Delve, Robert J., 2011. "Spatially targeting the distribution of agricultural input stockists in Malawi," Agricultural Systems, Elsevier, vol. 104(9), pages 694-702.
    2. H. Edwin Romeijn & Dolores Romero Morales, 2001. "Generating Experimental Data for the Generalized Assignment Problem," Operations Research, INFORMS, vol. 49(6), pages 866-878, December.
    3. Drexl, Andreas & Jørnsten, Kurt, 2007. "Pricing the generalized assignment problem," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 627, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.

    More about this item

    Keywords

    facility location; assignment problem;

    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:inm:ormnsc:v:25:y:1979:i:1:p:107-112. See general information about how to correct material in RePEc.

    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.

    We have no bibliographic references for this item. You can help adding them by using 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.