IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v12y1966i7p555-568.html
   My bibliography  Save this article

The Dual Method for the Generalized Transportation Problem

Author

Listed:
  • Egon Balas

    (Centre of Mathematical Statistics, Rumanian Academy, Bucharest)

Abstract

In this paper the dual method and the poly-\omega technique are specialized for the generalized transportation problem. A simple procedure is obtained for solving the parametric version of this problem, i.e. for passing from a solution optimal for given values of the parameters, to solutions optimal for other values of the parameters. This procedure is then extended to the case when not only the parameters change, but additional constraints appear. Finally, the procedure may be used as a general method for solving the usual (nonparametric) generalized transportation problem, and for this case a way is described for finding an initial (dual-feasible) solution.

Suggested Citation

  • Egon Balas, 1966. "The Dual Method for the Generalized Transportation Problem," Management Science, INFORMS, vol. 12(7), pages 555-568, March.
  • Handle: RePEc:inm:ormnsc:v:12:y:1966:i:7:p:555-568
    DOI: 10.1287/mnsc.12.7.555
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.12.7.555
    Download Restriction: no

    File URL: https://libkey.io/10.1287/mnsc.12.7.555?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. Marcin Anholcer, 2013. "Stochastic Generalized Transportation Problem with discrete distribution of demand," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 23(4), pages 9-19.
    2. V. Balachandran & G.L. Thompson, 1974. "An Operator Theory of Parametric Programming for the Generalized Transportation Problem, I : Basic Theory," Discussion Papers 67, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    3. Marcin Anholcer, 2012. "Algorithm for the stochastic generalized transportation problem," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 22(4), pages 9-20.

    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:ormnsc:v:12:y:1966:i:7:p:555-568. 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.