IDEAS home Printed from https://ideas.repec.org/p/cdl/itsrrp/qt69r4t5pp.html
   My bibliography  Save this paper

On the Numerical Treatment of Moving Bottlenecks

Author

Listed:
  • Daganzo, Carlos
  • Laval, Jorge A.

Abstract

This report is part of PATH Task Order 4141 and shows how moving obstructions can be modeled numerically with kinematic wave theory. It shows that if a moving obstruction is replaced by a sequence of fixed obstructions at nearby locations with the same "capacity", then the error in vehicle number converges uniformly to zero as the maximum separation between the moving and fixed bottlenecks is reduced. This result implies that average flows, densities, accumulations and delays can be predicted as accurately as desired with this method. Thus, any convergent finite difference scheme can now be used to model moving bottlenecks. An example is given.

Suggested Citation

  • Daganzo, Carlos & Laval, Jorge A., 2003. "On the Numerical Treatment of Moving Bottlenecks," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt69r4t5pp, Institute of Transportation Studies, UC Berkeley.
  • Handle: RePEc:cdl:itsrrp:qt69r4t5pp
    as

    Download full text from publisher

    File URL: https://www.escholarship.org/uc/item/69r4t5pp.pdf;origin=repeccitec
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Ou, Hui & Tang, Tie-Qiao, 2018. "Impacts of moving bottlenecks on traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 500(C), pages 131-138.
    2. Kerner, Boris S., 2016. "Failure of classical traffic flow theories: Stochastic highway capacity and automatic driving," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 700-747.
    3. Kerner, Boris S. & Koller, Micha & Klenov, Sergey L. & Rehborn, Hubert & Leibel, Michael, 2015. "The physics of empirical nuclei for spontaneous traffic breakdown in free flow at highway bottlenecks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 365-397.
    4. Daganzo, Carlos F. & Laval, Jorge A., 2003. "Moving Bottlenecks: A Numerical Method that Converges in Flows," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt1hp588xx, Institute of Transportation Studies, UC Berkeley.

    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:cdl:itsrrp:qt69r4t5pp. 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: Lisa Schiff (email available below). General contact details of provider: https://edirc.repec.org/data/itucbus.html .

    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.