Advanced Search
MyIDEAS: Login

A single-level mixed integer linear formulation for a bi-level discrete network design problem

Contents:

Author Info

  • Farvaresh, Hamid
  • Sepehri, Mohammad Mehdi
Registered author(s):

    Abstract

    Discrete network design problem (DNDP) is generally formulated as a bi-level programming. In this paper, a single-level mixed integer linear programming (SL-MILP) formulation for bi-level DNDP is presented. To cope with the dependency of node-link adjacency matrix on new links, travel time function is appropriately modified. The nonlinearity of the travel time function is also removed by means of a convex-combination based linear approximation which takes advantage of a unimodular structure. Two valid inequalities is developed which shorten computation time significantly. The validity of the proposed formulation is examined by two test problems. SL-MILP is able to provide optimal solution.

    Download Info

    If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
    File URL: http://www.sciencedirect.com/science/article/pii/S1366554511000184
    Download Restriction: Full text for ScienceDirect subscribers only

    As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

    Bibliographic Info

    Article provided by Elsevier in its journal Transportation Research Part E: Logistics and Transportation Review.

    Volume (Year): 47 (2011)
    Issue (Month): 5 (September)
    Pages: 623-640

    as in new window
    Handle: RePEc:eee:transe:v:47:y:2011:i:5:p:623-640

    Contact details of provider:
    Web page: http://www.elsevier.com/wps/find/journaldescription.cws_home/600244/description#description

    Order Information:
    Postal: http://www.elsevier.com/wps/find/journaldescription.cws_home/600244/bibliographic
    Web: http://www.elsevier.com/wps/find/journaldescription.cws_home/600244/bibliographic

    Related research

    Keywords: Discrete network design problem Bi-level programming Transportation network Multi-commodity flows;

    References

    No references listed on IDEAS
    You can help add them by filling out this form.

    Citations

    Lists

    This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

    Statistics

    Access and download statistics

    Corrections

    When requesting a correction, please mention this item's handle: RePEc:eee:transe:v:47:y:2011:i:5:p:623-640

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Wendy Shamier).

    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.

    If references are entirely missing, you can add them using this form.

    If the full references list an item that is present in RePEc, but the system did not link to it, you can help with 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 profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.