IDEAS home Printed from https://ideas.repec.org/h/spr/isochp/978-3-031-57603-4_7.html
   My bibliography  Save this book chapter

Models for Network Flow and Network Design Problems with Piecewise Linear Costs

In: Combinatorial Optimization and Applications

Author

Listed:
  • Bernard Fortz

    (HEC - Management School of the University of Liège
    Université libre de Bruxelles (ULB)
    INRIA, Université de Lille)

  • Bernard Gendron

    (CIRRELT and DIRO, Université de Montréal)

  • Luis Gouveia

    (Faculdade de Ciências da Universidade de Lisboa and CMAFcIO - Centro de Matemática, Aplicações Fundamentais e Investigação Operacional)

Abstract

In modeling real-world applications of network design, a difficulty often encountered is the fact that capacity on the arcs are not ”all-or-nothing” but incur a more complex cost. Often, the associated cost function can be approximated with a piecewise linear function (possibly non-convex). We review in this chapter some pioneering work of Bernard Gendron on multicommodity flow and network design problems with piecewise linear costs, and we also briefly address related recent works that build on the ideas developed by Bernard Gendron.

Suggested Citation

  • Bernard Fortz & Bernard Gendron & Luis Gouveia, 2024. "Models for Network Flow and Network Design Problems with Piecewise Linear Costs," International Series in Operations Research & Management Science, in: Teodor Gabriel Crainic & Michel Gendreau & Antonio Frangioni (ed.), Combinatorial Optimization and Applications, pages 149-161, Springer.
  • Handle: RePEc:spr:isochp:978-3-031-57603-4_7
    DOI: 10.1007/978-3-031-57603-4_7
    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:978-3-031-57603-4_7. 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.