At a toll booth, vehicles arrive with a mean arrival rate of 2 vehicles per minute and they are processed with a mean rate of 6 vehicles per minute. Determine the average length of queue, the average time spent in the toll booth, and the average waiting time if the vehicles arrive according to a Poisson process and a) they are processed at a uniform deterministic rate. b) they are processed at an exponential rate.

At a toll booth, vehicles arrive with a mean arrival rate of 2 vehicles per minute and they are processed with a mean rate of 6 vehicles per minute. Determine the average length of queue, the average time spent in the toll booth, and the average waiting time if the vehicles arrive according to a Poisson process and a) they are processed at a uniform deterministic rate. b) they are processed at an exponential rate.

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter2: Transportation Systems And Organizations

Section: Chapter Questions

Problem 4P

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