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Home  >  Volume 22 (2012)

Discrete Time Queueing Model for Queues at Fixed Control Signalized Intersection by Omosigho S. E. Volume 22 (November, 2012), pp 169 – 174
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We consider an intersection in a road network. The intersection is controlled by a fixed-cycle traffic light which alternates between red and green periods. When vehicles arrived during the red phase, they form a queue and are allowed to leave on first in, first out (FIFO) bases during the green phase. Vehicles that arrive during the green phase to meet an empty queue are allowed to proceed without waiting. We develop a discrete time queueing model for this system. Most of the previous research on queues at fixed control signalized intersection use probability generating function to derive steady state measures of performance for the system. We develop a computer program that can be used to obtain time-dependent measures of performance for the system. The model and the method of solution proposed in this paper can be used to study a broad spectrum of arrival distributions and not just the Poisson distribution alone.