IDEAS home Printed from https://ideas.repec.org/h/spr/spochp/978-3-319-65919-0_10.html
   My bibliography  Save this book chapter

Exterior Point Simplex Algorithm

In: Linear Programming Using MATLAB®

Author

Listed:
  • Nikolaos Ploskas

    (University of Macedonia)

  • Nikolaos Samaras

    (University of Macedonia)

Abstract

The exterior point simplex algorithm is a simplex-type algorithm that moves in the exterior of the feasible solution and constructs basic infeasible solutions instead of constructing feasible solutions like simplex algorithm does. This chapter presents the exterior point simplex algorithm. Numerical examples are presented in order for the reader to understand better the algorithm. Furthermore, an implementation of the algorithm in MATLAB is presented. The implementation is modular allowing the user to select which scaling technique and basis update method will use in order to solve LPs. Finally, a computational study over benchmark LPs and randomly generated sparse LPs is performed in order to compare the efficiency of the proposed implementation with the revised primal simplex algorithm presented in Chapter 8 .

Suggested Citation

  • Nikolaos Ploskas & Nikolaos Samaras, 2017. "Exterior Point Simplex Algorithm," Springer Optimization and Its Applications, in: Linear Programming Using MATLAB®, chapter 0, pages 437-490, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-65919-0_10
    DOI: 10.1007/978-3-319-65919-0_10
    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:spochp:978-3-319-65919-0_10. 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.