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A Mathematical Model of a Nonsignalized Pedestrian Crossing

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  • 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
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    Cited by:

    1. 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.
    2. 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.
    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.

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