IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v23y1975i3p565-571.html
   My bibliography  Save this article

Technical Note—On the Generalized Lattice Point Problem and Nonlinear Programming

Author

Listed:
  • A. Victor Cabot

    (Indiana University, Bloomington, Indiana)

Abstract

In this paper we consider a problem that is equivalent to the generalized lattice point problem of nonconvex programming. This problem can be expressed as the maximization of a certain convex function over a convex polyhedral set. This formulation can be used with the cutting plane algorithm of Glover and Klingman sometimes to strengthen the cuts their method generates for the generalized lattice point problem. A cut for zero-one integer programming can also be derived.

Suggested Citation

  • A. Victor Cabot, 1975. "Technical Note—On the Generalized Lattice Point Problem and Nonlinear Programming," Operations Research, INFORMS, vol. 23(3), pages 565-571, June.
    • Handle: RePEc:inm:oropre:v:23:y:1975:i:3:p:565-571
    DOI: 10.1287/opre.23.3.565
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.23.3.565
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.23.3.565?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:23:y:1975:i:3:p:565-571. 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.