IDEAS home Printed from https://ideas.repec.org/a/inm/ortrsc/v16y1982i1p56-66.html
   My bibliography  Save this article

A Trajectory Approach to the Round-Trip Location Problem

Author

Listed:
  • Z. Drezner

    (University of Michigan, Dearborn, Michigan)

  • G. O. Wesolowsky

    (McMaster University, Hamilton, Ontario)

Abstract

This paper treats the round-trip location problem proposed by Chan and Hearn. The object of the problem is to find the facility location that minimizes the maximum weighted round-trip distance between the facility and N pairs of demand points. The algorithm proposed here is based on the numerical solution of differential equations. Unlike the Chan and Hearn algorithm, which is based on linear programming and is applicable only to rectangular distances, this method is equally applicable to Euclidean and general ( l p ) distances.

Suggested Citation

  • Z. Drezner & G. O. Wesolowsky, 1982. "A Trajectory Approach to the Round-Trip Location Problem," Transportation Science, INFORMS, vol. 16(1), pages 56-66, February.
    • Handle: RePEc:inm:ortrsc:v:16:y:1982:i:1:p:56-66
    DOI: 10.1287/trsc.16.1.56
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/trsc.16.1.56
    Download Restriction: no
    File URL: https://libkey.io/10.1287/trsc.16.1.56?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. Drezner, Zvi & Wesolowsky, George O., 2001. "On the collection depots location problem," European Journal of Operational Research, Elsevier, vol. 130(3), pages 510-518, May.
    2. Alumur, Sibel A. & Campbell, James F. & Contreras, Ivan & Kara, Bahar Y. & Marianov, Vladimir & O’Kelly, Morton E., 2021. "Perspectives on modeling hub location problems," European Journal of Operational Research, Elsevier, vol. 291(1), pages 1-17.
    3. Berman, Oded & Drezner, Zvi & Wesolowsky, George O., 2007. "The transfer point location problem," European Journal of Operational Research, Elsevier, vol. 179(3), pages 978-989, June.
    4. Capelle, Thomas & Cortés, Cristián E. & Gendreau, Michel & Rey, Pablo A. & Rousseau, Louis-Martin, 2019. "A column generation approach for location-routing problems with pickup and delivery," European Journal of Operational Research, Elsevier, vol. 272(1), pages 121-131.
    5. O Berman & Z Drezner & G O Wesolowsky, 2008. "The multiple location of transfer points," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(6), pages 805-811, June.

    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:16:y:1982:i:1:p:56-66. 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.