A QUEUE MODEL TO ANALYZE THE PROBABILITY DISTRIBUTIONS OF VEHICLES’ INTER-ARRIVAL AND SERVICE TIMES IN A TRAFFIC INTERSECTION
Keywords:
distributions, vehicles, traffic, QueueAbstract
In this paper, we consider a queue model to analyze the probability distributions of vehicles inter arrival and service times in traffic intersection using Poisson, Gamma and Binomial distributions. The model consists of derivation of the mean and variance of the inter-arrival and service times of vehicles arriving and departing at road traffic intersection. From the model analysis, the queue system consists of n-vehicles with random arrival and departure at interval of time [t,T]. The probabilistic structure of the queuing model was described in terms of inter arrival and service time distributions. The model is synonymous with birth-and-death process, where no
ambiguity arises in interpreting the corresponding inter-arrival and service times distribution assumptions provided. The model is applied to situations in which the input is a Poisson distribution and the service time for each vehicle is exponentially distributed.
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