IDEAS home Printed from https://ideas.repec.org/a/ids/ijmore/v10y2017i1p18-33.html
   My bibliography  Save this article

Limits to the scope of applicability of extended formulations theory for LP models of combinatorial optimisation problems

Author

Listed:
  • Moustapha Diaby
  • Mark H. Karwan

Abstract

The purpose of this paper is to bring to attention and to make a contribution to the issue of defining/clarifying the scope of applicability of extended formulations (EFs) theory. Specifically, we show that EFs theory is not valid for relating the sizes of descriptions of polytopes when the sets of the descriptive variables for those polytopes are disjoint, and that new definitions of the notion of 'projection' upon which some of the recent extended formulations works [such as Kaibel (2011), Fiorini et al. (2011, 2012a, 2012b, 2013), Faenza et al. (2012), Gillis and Glineur (2012) and Kaibel and Walter (2014), for example] have been based can cause those works to over-reach in their conclusions.

Suggested Citation

  • Moustapha Diaby & Mark H. Karwan, 2017. "Limits to the scope of applicability of extended formulations theory for LP models of combinatorial optimisation problems," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 10(1), pages 18-33.
    • Handle: RePEc:ids:ijmore:v:10:y:2017:i:1:p:18-33
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=80739
    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.

    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:10:y:2017:i:1:p:18-33. 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.