IDEAS home Printed from https://ideas.repec.org/a/wly/navlog/v11y1964i1p43-58.html
   My bibliography  Save this article

Cycling in the transportation problem

Author

Listed:
  • Betty Jane Gassner

Abstract

The assignment problem, which is the most degenerate form of the transportation problem, and therefore the most likely to cycle, is investigated by means of linear graphs. It is proved that cycling is impossible in the 3 × 3 case, but possible in the 4 × 4 case. For the 5 × 5 case, it is shown both that there is a cycle independent of the one found for the 4 × 4 case and also that the cycle found in the 4 × 4 case can exist in the 5 × 5 case. Numerical examples are given.

Suggested Citation

  • Betty Jane Gassner, 1964. "Cycling in the transportation problem," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 11(1), pages 43-58, March.
    • Handle: RePEc:wly:navlog:v:11:y:1964:i:1:p:43-58
    DOI: 10.1002/nav.3800110104
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.3800110104
    Download Restriction: no
    File URL: https://libkey.io/10.1002/nav.3800110104?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. Hong Zheng, 2015. "Adaptation of Network Simplex for the Traffic Assignment Problem," Transportation Science, INFORMS, vol. 49(3), pages 543-558, August.

    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:wly:navlog:v:11:y:1964:i:1:p:43-58. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1931-9193 .

    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.