IDEAS home Printed from https://ideas.repec.org/a/ids/eujine/v4y2010i4p434-449.html
   My bibliography  Save this article

Solution of multidimensional knapsack problems via cooperation of dynamic programming and branch and bound

Author

Listed:
  • Vincent Boyer
  • Didier El Baz
  • Moussa Elkihel

Abstract

This article presents an exact cooperative method for the solution of the multidimensional knapsack problem (MKP) which combines dynamic programming and branch and bound. Our method makes cooperate a dynamic programming heuristics based on surrogate relaxation and a branch and bound procedure. Our algorithm was tested for several randomly generated test sets and problems in the literature. Solution values of the first step are compared with optimal values and results provided by other well-known existing heuristics. Then, our exact cooperative method is compared with a classical branch and bound algorithm. [Received 8 October 2008; Revised 28 May 28 2009; Revised 10 December 2009; Accepted 11 December 2009]

Suggested Citation

  • Vincent Boyer & Didier El Baz & Moussa Elkihel, 2010. "Solution of multidimensional knapsack problems via cooperation of dynamic programming and branch and bound," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 4(4), pages 434-449.
    • Handle: RePEc:ids:eujine:v:4:y:2010:i:4:p:434-449
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=35653
    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. Raquel Sanchis & Raúl Poler, 2019. "Enterprise Resilience Assessment—A Quantitative Approach," Sustainability, MDPI, vol. 11(16), pages 1-13, August.

    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:eujine:v:4:y:2010:i:4:p:434-449. 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=210 .

    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.