IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v30y1982i1p208-209.html
   My bibliography  Save this article

Technical Note—Maintaining the All-Integer Property of an ILP when Using Cuts in Rational Data

Author

Listed:
  • Søren Holm

    (Odense University, Odense, Denmark)

Abstract

If all data for an ILP is integer and a cut is given in rational data, then there exists a transformation of the cut such that all the coefficients and the right hand side constant are integers, thus requiring the slack variable also to be an integer. By repeating this transformation inductively an all-integer problem remains all-integer. As an application of this result, it is shown how to solve an ILP by using transformed strong MILP cuts. As these cuts are superior to fractional cuts, a more efficient algorithm results.

Suggested Citation

  • Søren Holm, 1982. "Technical Note—Maintaining the All-Integer Property of an ILP when Using Cuts in Rational Data," Operations Research, INFORMS, vol. 30(1), pages 208-209, February.
    • Handle: RePEc:inm:oropre:v:30:y:1982:i:1:p:208-209
    DOI: 10.1287/opre.30.1.208
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.30.1.208
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.30.1.208?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

    Keywords

    628 solving ILP using MILP-cuts;

    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:30:y:1982:i:1:p:208-209. 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.