IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v9y1961i6p828-840.html
   My bibliography  Save this article

Comments on the Highway-Crossing Problem

Author

Listed:
  • Robert Herman

    (Research Laboratories, General Motors Corporation, Warren, Michigan)

  • George Weiss

    (Institute for Fluid Dynamics and Applied Mathematics, University of Maryland, College Park, Maryland)

Abstract

A discussion is given of the gap acceptance problem confronting a driver at a stop sign who is attempting to cross a single lane of traffic. This problem is discussed in the light of a gap acceptance probability that is taken in the form (alpha)( t ) = 0 when t T and 1 - (alpha)( t ) = exp[-(lambda)( t - T )] when t > T , rather than a step function as has been considered in the past. Some experimental information is discussed concerning the values of the parameters (lambda) and T in such situations. This information coupled with theoretical considerations allows one to estimate quantities such as mean delay time, probability of zero delay, and highway transparency. Comments are made concerning the influence of car performance on road crossing and on entering highways.

Suggested Citation

  • Robert Herman & George Weiss, 1961. "Comments on the Highway-Crossing Problem," Operations Research, INFORMS, vol. 9(6), pages 828-840, December.
    • Handle: RePEc:inm:oropre:v:9:y:1961:i:6:p:828-840
    DOI: 10.1287/opre.9.6.828
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.9.6.828
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.9.6.828?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:oropre:v:9:y:1961:i:6:p:828-840. 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.