IDEAS home Printed from https://ideas.repec.org/a/eee/transb/v24y1990i6p423-430.html
   My bibliography  Save this article

A dual ascent algorithm for traffic assignment problems

Author

Listed:
  • Hearn, Donald W.
  • Lawphongpanich, Siriphong

Abstract

A dual decomposition algorithm is developed for large-scale traffic assignment problems. In contrast to standard methods, this algorithm does not require that the system or user optimal objective function be differentiable and it allows bounds on the arc flows. Iterates alternate between dual ascent steps and calculations of shortest paths as in the Frank-Wolfe method. Although a dual method, it produces feasible flow patterns at each iteration. Convergence of the method is proven and a computational example is given.

Suggested Citation

  • Hearn, Donald W. & Lawphongpanich, Siriphong, 1990. "A dual ascent algorithm for traffic assignment problems," Transportation Research Part B: Methodological, Elsevier, vol. 24(6), pages 423-430, December.
    • Handle: RePEc:eee:transb:v:24:y:1990:i:6:p:423-430
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0191-2615(90)90037-Y
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Lo, Hong K. & Chen, Anthony, 2000. "Traffic equilibrium problem with route-specific costs: formulation and algorithms," Transportation Research Part B: Methodological, Elsevier, vol. 34(6), pages 493-513, August.
    2. Larsson, Torbjörn & Patriksson, Michael & Rydergren, Clas, 2004. "A column generation procedure for the side constrained traffic equilibrium problem," Transportation Research Part B: Methodological, Elsevier, vol. 38(1), pages 17-38, January.
    3. Lo, Hong K. & Szeto, W. Y., 2002. "A methodology for sustainable traveler information services," Transportation Research Part B: Methodological, Elsevier, vol. 36(2), pages 113-130, February.
    4. Xie, Chi & Travis Waller, S., 2012. "Stochastic traffic assignment, Lagrangian dual, and unconstrained convex optimization," Transportation Research Part B: Methodological, Elsevier, vol. 46(8), pages 1023-1042.
    5. Cruz, F.R.B. & van Woensel, T. & MacGregor Smith, J. & Lieckens, K., 2010. "On the system optimum of traffic assignment in M/G/c/c state-dependent queueing networks," European Journal of Operational Research, Elsevier, vol. 201(1), pages 183-193, February.

    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:eee:transb:v:24:y:1990:i:6:p:423-430. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/548/description#description .

    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.