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Traffic Delay at a Signalized Intersection with Binomial Arrivals

Author

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  • Michael C. Dunne

    (General Motors Research Laboratories, Warren, Michigan)

Abstract

Delay formulas are derived for vehicles at an isolated intersection at which the vehicle arrivals are supposed generated by a binomial process, the departure rates are assumed constant, and the control strategy is to switch the lights when the favored queue empties. The mean delay is calculated using a discrete analog of the method used by Darroch, Morris, and Newell for the case of random arrivals. Later a probability generating function for delay is developed yielding, in particular, the variance of the delay.

Suggested Citation

  • Michael C. Dunne, 1967. "Traffic Delay at a Signalized Intersection with Binomial Arrivals," Transportation Science, INFORMS, vol. 1(1), pages 24-31, February.
    • Handle: RePEc:inm:ortrsc:v:1:y:1967:i:1:p:24-31
    DOI: 10.1287/trsc.1.1.24
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    Cited by:

    1. Neda Mirzaeian & Soo-Haeng Cho & Alan Scheller-Wolf, 2021. "A Queueing Model and Analysis for Autonomous Vehicles on Highways," Management Science, INFORMS, vol. 67(5), pages 2904-2923, May.
    2. Baykal-Gürsoy, M. & Xiao, W. & Ozbay, K., 2009. "Modeling traffic flow interrupted by incidents," European Journal of Operational Research, Elsevier, vol. 195(1), pages 127-138, May.
    3. Wang, Xiubin Bruce & Cao, Xiaowei & Wang, Changjun, 2017. "Dynamic optimal real-time algorithm for signals (DORAS): Case of isolated roadway intersections," Transportation Research Part B: Methodological, Elsevier, vol. 106(C), pages 433-446.
    4. Pedro Cesar Lopes Gerum & Andrew Reed Benton & Melike Baykal-Gürsoy, 2019. "Traffic density on corridors subject to incidents: models for long-term congestion management," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 8(5), pages 795-831, December.

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