IDEAS home Printed from https://ideas.repec.org/a/spr/jcomop/v6y2002i1d10.1023_a1013355015853.html
   My bibliography  Save this article

Attacking the Market Split Problem with Lattice Point Enumeration

Author

Listed:
  • Alfred Wassermann

    (Universität Bayreuth)

Abstract

The market split problem was proposed by Cornuéjols and Dawande as benchmark problem for algorithms solving linear systems with 0/1 variables. Here, we present an algorithm for the more general problem A · x = b with arbitrary lower and upper bound on the variables. The algorithm consists of exhaustive enumeration of all points of a suitable lattice which are contained in a given polyhedron. We present results for the feasibility version as well as for the integer programming version of the market split problem which indicate that the algorithm outperforms the previously published approaches to this problems considerably.

Suggested Citation

  • Alfred Wassermann, 2002. "Attacking the Market Split Problem with Lattice Point Enumeration," Journal of Combinatorial Optimization, Springer, vol. 6(1), pages 5-16, March.
    • Handle: RePEc:spr:jcomop:v:6:y:2002:i:1:d:10.1023_a:1013355015853
    DOI: 10.1023/A:1013355015853
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1023/A:1013355015853
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1023/A:1013355015853?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Leonardo Lozano & David Bergman & J. Cole Smith, 2020. "On the Consistent Path Problem," Operations Research, INFORMS, vol. 68(6), pages 1913-1931, November.
    2. Karen Aardal, 2004. "Comments on the Paper: Attacking the Market Split Problem with Lattice Point Enumeration," Journal of Combinatorial Optimization, Springer, vol. 8(2), pages 147-149, June.
    3. Heiko Vogel, 2012. "Solving market split problems with heuristical lattice reduction," Annals of Operations Research, Springer, vol. 196(1), pages 581-590, July.

    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:spr:jcomop:v:6:y:2002:i:1:d:10.1023_a:1013355015853. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.