IDEAS home Printed from https://ideas.repec.org/a/ids/ijmore/v10y2017i2p150-166.html
   My bibliography  Save this article

Analysing a few trigonometric solutions for the Fermat-Weber facility location triangle problem with and without repulsion and generalising the solutions

Author

Listed:
  • A. Baskar

Abstract

In location theory, the Weber (1909) problem is one of the most popular problems. It requires locating a unique point that minimises the sum of transportation costs from that point. In a triangular case, the problem is to locate a point with respect to three points in such a way that the sum of distances between the point and the other three points is the minimum. Tellier (1972) found a geometric solution to the problem. In the attraction-repulsion problem, some of the costs may be negative. This was formulated and geometrically solved for a triangular case by Tellier (1985). Gruulich (1999) discussed about the barycentric coordinates solution applied to the optimal road junction problem. Ha and Loc (2011) proposed an easy geometrical solution to the repulsive force and two attraction forces triangular problem. This paper generalises the solutions for both the attractions and repulsion problems and analytical formulae are derived.

Suggested Citation

  • A. Baskar, 2017. "Analysing a few trigonometric solutions for the Fermat-Weber facility location triangle problem with and without repulsion and generalising the solutions," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 10(2), pages 150-166.
    • Handle: RePEc:ids:ijmore:v:10:y:2017:i:2:p:150-166
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=81922
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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:ids:ijmore:v:10:y:2017:i:2:p:150-166. 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: Sarah Parker (email available below). General contact details of provider: http://www.inderscience.com/browse/index.php?journalID=320 .

    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.