IDEAS home Printed from https://ideas.repec.org/a/wly/navlog/v22y1975i4p751-775.html
   My bibliography  Save this article

Transportation problems with some xij negative and transshipment problems

Author

Listed:
  • Paul S. Dwyer

Abstract

The general solution process of the Hitchcock transportation problem resulting from the application of the method of reduced matrices may give solutions with some negative xij values. This paper is devoted to a review of the reduced matrices method, an examination of suitable interpretation of sets of xij which include some negative values, and ways of interpreting these values in useful modifications of the Hitchcock problem. Such modifications include a) the reshipment problem, b) the overshipment problem, and c) the transshipment problem. Techniques are developed for determining and eliminating cij which are not optimal. These techniques and results are useful in solving the problems indicated above. The natural applicability of the simple and general method of reduced matrices is emphasized.

Suggested Citation

  • Paul S. Dwyer, 1975. "Transportation problems with some xij negative and transshipment problems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 22(4), pages 751-775, December.
    • Handle: RePEc:wly:navlog:v:22:y:1975:i:4:p:751-775
    DOI: 10.1002/nav.3800220410
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.3800220410
    Download Restriction: no
    File URL: https://libkey.io/10.1002/nav.3800220410?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
    ---><---

    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:22:y:1975:i:4:p:751-775. 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.