IDEAS home Printed from https://ideas.repec.org/a/inm/ortrsc/v15y1981i3p222-232.html
   My bibliography  Save this article

A Mathematical Model of a Nonsignalized Pedestrian Crossing

Author

Listed:
  • J. D. Griffiths

    (University of Wales Institute of Science and Technology, Cardiff, Wales)

Abstract

A mathematical model is proposed to describe activities at a nonsignalized pedestrian crossing. Starting from a set of simple assumptions, the distributions of times during which a crossing is alternately available to pedestrians and vehicles are given. A batch service queueing analysis is then undertaken, employing the imbedded Markov chain technique, to derive the statistics of the vehicular queueing situation. Such analysis usually leads to rather intractable expressions which require a great deal of further effort before numerical results are obtained, but in the present paper these difficulties are overcome, and an explicit formula is derived for the vehicle mean queue length.

Suggested Citation

  • J. D. Griffiths, 1981. "A Mathematical Model of a Nonsignalized Pedestrian Crossing," Transportation Science, INFORMS, vol. 15(3), pages 222-232, August.
    • Handle: RePEc:inm:ortrsc:v:15:y:1981:i:3:p:222-232
    DOI: 10.1287/trsc.15.3.222
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/trsc.15.3.222
    Download Restriction: no
    File URL: https://libkey.io/10.1287/trsc.15.3.222?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
    ---><---

    Citations

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


    Cited by:

    1. Meneguzzer, C. & Rossi, R., 2013. "Analysis and control of the interaction between vehicular and pedestrian flows on roundabout approaches," European Transport \ Trasporti Europei, ISTIEE, Institute for the Study of Transport within the European Economic Integration, issue 53, pages 1-9.
    2. Nam Seok Kim & Seung Sub Yoon & Donghyung Yook, 2017. "Performance comparison between pedestrian push-button and pre-timed pedestrian crossings at midblock: a Korean case study," Transportation Planning and Technology, Taylor & Francis Journals, vol. 40(6), pages 706-721, August.
    3. J D Griffiths, 2006. "Cascades of queues," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(6), pages 711-717, June.

    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:15:y:1981:i:3:p:222-232. 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.