IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-1-4939-0808-0_23.html
   My bibliography  Save this book chapter

On Solving Optimization Problems with Hidden Nonconvex Structures

In: Optimization in Science and Engineering

Author

Listed:
  • Alexander S. Strekalovsky

    (Institute for System Dynamics and Control Theory of SB RAS)

Abstract

Here we consider three very popular optimization problems: the linear complementarity problem, the search for Nash equilibria in a bimatrix game, and the quadratic-linear bilevel programming problem. It can be shown that each of the problem possesses a hidden nonconvexity and, as a consequence, a rather large number of local solutions which are different from global ones from the viewpoint of the goal function. In order to attack these problems the principal points of Global Search theory are presented and discussed. Furthermore, the main stages of Local and Global Search Methods are precised for each problem. Finally, we present the new results of computational solution separately for every problem considered.

Suggested Citation

  • Alexander S. Strekalovsky, 2014. "On Solving Optimization Problems with Hidden Nonconvex Structures," Springer Books, in: Themistocles M. Rassias & Christodoulos A. Floudas & Sergiy Butenko (ed.), Optimization in Science and Engineering, edition 127, pages 465-502, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4939-0808-0_23
    DOI: 10.1007/978-1-4939-0808-0_23
    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:978-1-4939-0808-0_23. 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.