IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v219y1995i3p391-407.html
   My bibliography  Save this article

High-fidelity macroscopic traffic equations

Author

Listed:
  • Helbing, Dirk

Abstract

The Euler-like traffic equations that can be derived for quasi-homogeneous traffic situations are corrected for non-equilibrium effects. This yields additional transport terms describing a flux of velocity variance. Other modifications resulting in a bulk viscosity term arise from the adaptive behavior of drivers with respect to changes of the traffic situation. Finally, corrections due to the space requirements of vehicles as well as due to finite reaction- and braking-times are introduced. These are responsible for a van der Waals-like relation for ‘traffic pressure’ and modified relations for the kinetic coefficients.

Suggested Citation

  • Helbing, Dirk, 1995. "High-fidelity macroscopic traffic equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 219(3), pages 391-407.
    • Handle: RePEc:eee:phsmap:v:219:y:1995:i:3:p:391-407
    DOI: 10.1016/0378-4371(95)00175-7
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437195001757
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/0378-4371(95)00175-7?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
    ---><---

    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. Mohammadian, Saeed & Zheng, Zuduo & Haque, Md. Mazharul & Bhaskar, Ashish, 2021. "Performance of continuum models for realworld traffic flows: Comprehensive benchmarking," Transportation Research Part B: Methodological, Elsevier, vol. 147(C), pages 132-167.

    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:phsmap:v:219:y:1995:i:3:p:391-407. 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.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.