IDEAS home Printed from https://ideas.repec.org/a/ids/ijmore/v4y2012i3p247-262.html
   My bibliography  Save this article

Dantzig-Wolfe and Lagrangian decompositions in integer linear programming

Author

Listed:
  • L. Létocart
  • A. Nagih
  • N. Touati-Moungla

Abstract

We propose in this paper a new Dantzig-Wolfe master model based on Lagrangian Decomposition (LD). We establish the relationship with classical Dantzig-Wolfe decomposition master problem and propose an alternative proof of the dominance of LD on Lagrangian Relaxation (LR) dual bound. As illustration, we give the corresponding models and numerical results for two standard mathematical programs: the 0-1 bidimensional knapsack problem and the generalised assignment problem.

Suggested Citation

  • L. Létocart & A. Nagih & N. Touati-Moungla, 2012. "Dantzig-Wolfe and Lagrangian decompositions in integer linear programming," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 4(3), pages 247-262.
    • Handle: RePEc:ids:ijmore:v:4:y:2012:i:3:p:247-262
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=46686
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    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. Yixin Zhao & Torbjörn Larsson & Elina Rönnberg & Panos M. Pardalos, 2018. "The fixed charge transportation problem: a strong formulation based on Lagrangian decomposition and column generation," Journal of Global Optimization, Springer, vol. 72(3), pages 517-538, November.

    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:ids:ijmore:v:4:y:2012:i:3:p:247-262. 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: Sarah Parker (email available below). General contact details of provider: http://www.inderscience.com/browse/index.php?journalID=320 .

    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.