IDEAS home Printed from https://ideas.repec.org/a/inm/ortrsc/v5y1971i4p418-429.html
   My bibliography  Save this article

On the Mean Speed in the “Boltzmann-Like” Traffic Theory: A Numerical Method

Author

Listed:
  • Robert Herman

    (General Motors Research Laboratories, Warren, Michigan)

  • Tenny Lam

    (General Motors Research Laboratories, Warren, Michigan)

Abstract

A method has recently been developed by the authors for determining the mean speed of the speed distribution in the Boltzmann-like traffic theory developed by Prigogine, et al. This method has now been extended to more general functional forms assumed for the details of the interaction, relaxation, and adjustment processes. The mean speed for the more general case is again expressed in terms of the intersection of two mathematical functions identical to those previously obtained. On the basis of this method a numerical procedure for calculating the mean speed is given. For most reasonably well behaved desired speed distributions this method offers satisfactory rates of convergence and is applicable for both the “individual” and “collective” flow cases.

Suggested Citation

  • Robert Herman & Tenny Lam, 1971. "On the Mean Speed in the “Boltzmann-Like” Traffic Theory: A Numerical Method," Transportation Science, INFORMS, vol. 5(4), pages 418-429, November.
    • Handle: RePEc:inm:ortrsc:v:5:y:1971:i:4:p:418-429
    DOI: 10.1287/trsc.5.4.418
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/trsc.5.4.418
    Download Restriction: no
    File URL: https://libkey.io/10.1287/trsc.5.4.418?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
    ---><---

    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:inm:ortrsc:v:5:y:1971:i:4:p:418-429. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.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.