IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-540-24777-7_12.html
   My bibliography  Save this book chapter

The Quadratic Knapsack Problem

In: Knapsack Problems

Author

Listed:
  • Hans Kellerer

    (University of Graz, Department of Statistics and Operations Research)

  • Ulrich Pferschy

    (University of Graz, Department of Statistics and Operations Research)

  • David Pisinger

    (University of Copenhagen, DIKU, Department of Computer Science)

Abstract

In all the variants of the knapsack problems considered so far the profit of choosing a given item was independent of the other items chosen. In many real life applications as well as in problems with roots in graph theory it is natural to assume that the profit of a packing also should reflect how well the given items fit together. One possible formulation of such an interdependence is the quadratic knapsack problem (QKP) in which an item has a corresponding profit and an additional profit is redeemed if the item is selected together with another item. (QKP) was first introduced by Gallo, Hammer and Simeone [160] and has been studied intensively in the last decade due to its simple structure and challenging difficulty.

Suggested Citation

  • Hans Kellerer & Ulrich Pferschy & David Pisinger, 2004. "The Quadratic Knapsack Problem," Springer Books, in: Knapsack Problems, chapter 12, pages 349-388, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-24777-7_12
    DOI: 10.1007/978-3-540-24777-7_12
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:spr:sprchp:978-3-540-24777-7_12. 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.