Traffic Delay at a Signalized Intersection with Binomial Arrivals

Michael C. Dunne
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Michael C. Dunne: General Motors Research Laboratories, Warren, Michigan

Transportation Science, 1967, vol. 1, issue 1, 24-31

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.

Date: 1967
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