IDEAS home Printed from https://ideas.repec.org/a/inm/ortrsc/v15y1981i4p329-337.html
   My bibliography  Save this article

On the Dual of the Linearly Constrained Multifacility Location Problem with Arbitrary Norms

Author

Listed:
  • Henrik Juel

    (Soenderborg School of Economics and Business Administration, Soenderborg, Denmark)

  • Robert F. Love

    (McMaster University, Hamilton, Ontario)

Abstract

In this article the dual of the multifacility location problem with arbitrary norms is developed and its uses indicated. The formulation allows any number of linear constraints in the primal on the individual new facility locations. It is shown that the multipliers associated with the linear equations of the dual are the optimal facility locations of the primal.

Suggested Citation

  • Henrik Juel & Robert F. Love, 1981. "On the Dual of the Linearly Constrained Multifacility Location Problem with Arbitrary Norms," Transportation Science, INFORMS, vol. 15(4), pages 329-337, November.
  • Handle: RePEc:inm:ortrsc:v:15:y:1981:i:4:p:329-337
    DOI: 10.1287/trsc.15.4.329
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/trsc.15.4.329
    Download Restriction: no

    File URL: https://libkey.io/10.1287/trsc.15.4.329?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. Halit Üster & Robert F. Love, 2002. "Duality in constrained multi‐facility location models," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(4), pages 410-421, June.
    2. Gert Wanka & Oleg Wilfer, 2017. "Duality results for nonlinear single minimax location problems via multi-composed optimization," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 86(2), pages 401-439, October.

    More about this item

    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:ortrsc:v:15:y:1981:i:4:p:329-337. 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.