IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-642-39669-4_39.html
   My bibliography  Save this book chapter

Quasi-stationary Approach in Mathematical Modeling of Traffic Flows Dynamics in a City Road Network

In: Traffic and Granular Flow '11

Author

Listed:
  • Andrey M. Valuev

    (Institute of Machines Science named after A.A. Blagonravov of RAS
    Moscow Institute of Physics and Technology (State University))

Abstract

The paper proposes a new approach for traffic flows modeling in a city road network for typical conditions of heavy traffic. The model is created according to the assumption of flow uniformity in space (but not in time) for each road segment between junctions. In format, it resembles quasi-stationary flow models for technological network that proved their usefulness for control problems. Some evidence for the model adequacy is obtained from computational experiments based on simulation of car motion ruled by the safe distance law. With a certain hypothesis of path choice by informed drivers the model gives the possibility to predict traffic dynamics. The paper expresses Bellman’s type relationships for conditionally optimum route choice that may be combined with general balance equations expressing the quasi-stationary approach, which yields a closed predictive model.

Suggested Citation

  • Andrey M. Valuev, 2013. "Quasi-stationary Approach in Mathematical Modeling of Traffic Flows Dynamics in a City Road Network," Springer Books, in: Valery V. Kozlov & Alexander P. Buslaev & Alexander S. Bugaev & Marina V. Yashina & Andreas Schadsch (ed.), Traffic and Granular Flow '11, edition 127, pages 413-418, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-39669-4_39
    DOI: 10.1007/978-3-642-39669-4_39
    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.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:978-3-642-39669-4_39. 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.