IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v17y1969i2p359-367.html
   My bibliography  Save this article

Letter to the Editor—Toward a Unifying Theory for Integer Linear Programming

Author

Listed:
  • Stanley Zionts

    (State University of New York at Buffalo, Buffalo, New York)

Abstract

During the last decade a great number of approaches and schemes have been proposed for solving integer linear programming problems. These range from the implicit enumeration schemes including, for example, the additive algorithm of Balas to schemes that proceed in a simplicial fashion to an optimal solution as does, for example, the All-Integer Method of Gomory. Still other approaches have been heuristic in nature and strive to achieve so-called good (not necessarily optimal) solutions. The purpose of this paper is to discuss a framework that appears to offer some potential for devising new algorithms, and, at the same time, provides a theory that helps to unify some of the previously advanced methods for solving integer linear programming problems. The framework involves the use of bounds on variables and is related to some of the author's earlier work on the Geometric Definition Method of linear programming.

Suggested Citation

  • Stanley Zionts, 1969. "Letter to the Editor—Toward a Unifying Theory for Integer Linear Programming," Operations Research, INFORMS, vol. 17(2), pages 359-367, April.
    • Handle: RePEc:inm:oropre:v:17:y:1969:i:2:p:359-367
    DOI: 10.1287/opre.17.2.359
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.17.2.359
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.17.2.359?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:inm:oropre:v:17:y:1969:i:2:p:359-367. 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.