IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-540-77074-9_14.html

A Cross Entropy Based Multi-Agent Approach to Traffic Assignment Problems

In: Traffic and Granular Flow ’07

Author

Listed:
  • Tai-Yu Ma

    (INRETS/GRETIA)

  • Jean-Patrick Lebacque

    (INRETS/GRETIA)

Abstract

Summary In this paper, we propose a Cross Entropy (CE) [1] based multiagent approach for solving static/dynamic traffic assignment problems (TAP). This algorithm utilizes a family of probability distributions in order to guide travelers (agents) to network equilibrium. The route choice probability distribution depends on the average network performance experienced by agents on previous days. Based on the minimization of cross entropy concept, optimal probability distributions are derived iteratively such that high quality routes are more attractive to agents. The advantage of the CE method is that it is based on a mathematical framework and sampling theory, in order to derive the optimal probability distributions guiding agents to the dynamic system equilibrium. Interestingly, we demonstrate that the proposed approach based on CE method coincides with dynamic system approaches. Numerical studies illustrate both nonlinear and bimodal static traffic assignment problems. A comparative study of the proposed method and the dynamic system approach is provided to justify the efficiency of proposed method.

Suggested Citation

  • Tai-Yu Ma & Jean-Patrick Lebacque, 2009. "A Cross Entropy Based Multi-Agent Approach to Traffic Assignment Problems," Springer Books, in: Cécile Appert-Rolland & François Chevoir & Philippe Gondret & Sylvain Lassarre & Jean-Patrick Lebacq (ed.), Traffic and Granular Flow ’07, pages 161-170, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-77074-9_14
    DOI: 10.1007/978-3-540-77074-9_14
    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.

    Citations

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


    Cited by:

    1. Ismail Jirou & Ikram Jebabli & Mohammad Isleimeyyeh & Elie Bouri, 2026. "Multivariate transmission of conditional mutual information based on partial correlation among cryptocurrencies and financial markets around various crisis periods," Eurasian Economic Review, Springer;Eurasia Business and Economics Society, vol. 16(1), pages 241-269, March.

    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:sprchp:978-3-540-77074-9_14. 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.