A theme park has a single entrance gate where visitors must stop and pay for parking. The average arrival rate during the peak hour is 150 veh/h and is Poisson distributed. It takes, on average, 18 seconds per vehicle (exponentially distributed) to pay for parking. What is the average time in the system for this queuing system in minutes/veh? Answer in one-decimal place

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter6: Fundamental Principles Of Traffic Flow
Section: Chapter Questions
Problem 26P: The arrival times of vehicles at the ticket gate of a sports stadium may be assumed to bePoisson...
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A theme park has a single entrance gate where visitors must stop and pay for parking. The average arrival rate during the peak hour is 150 veh/h and is Poisson distributed. It takes, on average, 18 seconds per vehicle (exponentially distributed) to pay for parking. What is the average time in the system for this queuing system in minutes/veh? Answer in one-decimal place
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