IDEAS home Printed from https://ideas.repec.org/h/spr/isochp/978-0-387-92280-5_2.html
   My bibliography  Save this book chapter

Integer Programming

In: Logic and Integer Programming

Author

Listed:
  • H. Paul Williams

    (The London School of Economics)

Abstract

In this chapter we begin with a brief explanation of linear programming (LP) since integer programming (IP) is usually regarded as an extension of LP. Also most practical methods of solving IP models rely on solving an LP model first. However, our discussion of LP will be brief since this is not the main theme of this book. Although LP models are often solved in the course of solving IP models we will, in the main, regard a method of solving LP models in this context as a ‘black box’. However, we will give a (computationally inefficient) method of solving LP models which illustrates the use of the predicate calculus as discussed in Sect. 1.5 as well as demonstrating important properties of LP models which are relevant to IP. In Sect. 2.4 we discuss the comparative computational complexity of IP comparedwith LP. A list of references to the further study of LP is given in Sect. 2.5.

Suggested Citation

  • H. Paul Williams, 2009. "Integer Programming," International Series in Operations Research & Management Science, in: Logic and Integer Programming, chapter 0, pages 25-70, Springer.
    • Handle: RePEc:spr:isochp:978-0-387-92280-5_2
    DOI: 10.1007/978-0-387-92280-5_2
    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 search for a similarly titled item that would be available.

    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:isochp:978-0-387-92280-5_2. 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.