IDEAS home Printed from https://ideas.repec.org/h/spr/sptchp/978-3-030-97162-5_5.html
   My bibliography  Save this book chapter

Integer Linear Programming

In: Operations Research

Author

Listed:
  • H. A. Eiselt

    (University of New Brunswick)

  • Carl-Louis Sandblom

    (Dalhousie University)

Abstract

Not too long after more and more applications of linear programming were developed it became apparent that in some of these applications, the variables would not be able to attain just any (nonnegative) value but should be integers. As a simple example, if a variable has been defined to denote the number of cans of beans manufactured in the planning period, then surely it would make no sense to make, say, 1,305,557.3 cans: the last 0.3 cans would have to be rounded up or down. While this may be an acceptable practice when dealing with this application (after all, it makes very little difference whether or not we make 0.3 cans more or less), in other applications this may make a huge difference. For instance, assigning airplanes to routes or trucks to deliveries may very well make the difference between gain and loss. Furthermore, simply rounding up or down a noninteger (usually referred to as a continuous solution) will not necessarily result in an optimal integer solution. We will demonstrate this fact below.

Suggested Citation

  • H. A. Eiselt & Carl-Louis Sandblom, 2022. "Integer Linear Programming," Springer Texts in Business and Economics, in: Operations Research, edition 3, chapter 5, pages 161-213, Springer.
    • Handle: RePEc:spr:sptchp:978-3-030-97162-5_5
    DOI: 10.1007/978-3-030-97162-5_5
    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.

    More about this item

    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:sptchp:978-3-030-97162-5_5. 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.