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Discrete Time Queues at a Periodic Traffic Light

Author

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  • D. C. Kleinecke

    (TEMPO, General Electric Company, Santa Barbara, California)

Abstract

The response delay in clearing the queue of automobiles waiting at a traffic light can be modeled by allowing one car to leave at the end of each of a series of discrete intervals in time. The steady-state queue formed at a cycle traffic light is discussed for general stationary arrival processes. A method of solution for the case where arrivals are Poisson is described. General formulas are given for the probability of not clearing the queue during a cycle and for the expected wait at the light.

Suggested Citation

  • D. C. Kleinecke, 1964. "Discrete Time Queues at a Periodic Traffic Light," Operations Research, INFORMS, vol. 12(6), pages 809-814, December.
    • Handle: RePEc:inm:oropre:v:12:y:1964:i:6:p:809-814
    DOI: 10.1287/opre.12.6.809
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