IDEAS home Printed from https://ideas.repec.org/a/hin/jnddns/802129.html
   My bibliography  Save this article

Dynamic Traffic Network Model and Time-Dependent Braess’ Paradox

Author

Listed:
  • Chunxue Zhao

Abstract

We propose a dynamic traffic network model and give the equilibrium condition and the equivalent variational inequality of the network. In this model, instead of the influence of inflow rate and output rate on the link congestion, the influence of the adjacent links at the same paths is considered; in this case, the equivalence between the equilibrium condition and the variational inequality is proved. Then we take an example about the paradox using the variational inequality and find that the probability and the severity that Braess’ paradox occurs change with the influence of other links changing. Subsequently, we discuss the influence of other links on whether the adding link works under the dynamic system optimal. At last, we give the relationship between the total congestion under dynamic user equilibrium and that under dynamic system optimal. The results imply that we should take some methods and adjust the interaction between links rationally with the dynamic change of traffic situations.

Suggested Citation

  • Chunxue Zhao, 2014. "Dynamic Traffic Network Model and Time-Dependent Braess’ Paradox," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-7, November.
    • Handle: RePEc:hin:jnddns:802129
    DOI: 10.1155/2014/802129
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/DDNS/2014/802129.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/DDNS/2014/802129.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/802129?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

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


    Cited by:

    1. Zhaolin Cheng & Laijun Zhao & Huiyong Li, 2020. "A Transportation Network Paradox: Consideration of Travel Time and Health Damage due to Pollution," Sustainability, MDPI, vol. 12(19), pages 1-22, October.
    2. Yao, Jia & Cheng, Ziyi & Chen, Anthony, 2023. "Bibliometric analysis and systematic literature review of the traffic paradoxes (1968–2022)," Transportation Research Part B: Methodological, Elsevier, vol. 177(C).

    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:hin:jnddns:802129. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.