Random Queues in Signalized Road Networks
Transportation Science
A discrete-time queueing model with periodically scheduled arrival and departure slots
Performance Evaluation
Operations Research Letters
Bounds and Approximations for the Fixed-Cycle Traffic-Light Queue
Transportation Science
Bounds and Approximations for the Fixed-Cycle Traffic-Light Queue
Transportation Science
An mdp decomposition approach for traffic control at isolated signalized intersections
Probability in the Engineering and Informational Sciences
An adaptive approach to enhanced traffic signal optimization by using soft-computing techniques
Expert Systems with Applications: An International Journal
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We consider the fixed-cycle traffic-light (FCTL) queue, where vehicles arrive at an intersection controlled by a traffic light and form a queue. The traffic-light signal alternates between green and red periods, and delayed vehicles are assumed to depart during the green period at equal time intervals. Most of the research done on the FCTL queue assumes that the vehicles arrive at the intersection according to a Poisson process and focuses on deriving formulas for the mean queue length at the end of green periods and the mean delay. For a class of discrete arrival processes, including the Poisson process, we derive the probability generating function of both the queue length and delay, from which the whole queue length and delay distribution can be obtained. This allows for the evaluation of performance characteristics other than the mean, such as the variance and percentiles of the distribution. We discuss the numerical procedures that are required to obtain the performance characteristics, and give several numerical examples.