At a parking lot, vehicles arrive according to a Poisson process and are processed (parking fee collected) at an exponentially distributed rate at a single station. The mean arrival rate is 4 veh.min and the processing rate is 5 veh/min. Determine the average length of queue (in vehicles), time spent in the system and waiting time spent in the queue.
At a parking lot, vehicles arrive according to a Poisson process and are processed (parking fee collected) at an exponentially distributed rate at a single station. The mean arrival rate is 4 veh.min and the processing rate is 5 veh/min. Determine the average length of queue (in vehicles), time spent in the system and waiting time spent in the queue.
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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![At a parking lot, vehicles arrive according to a Poisson process and are processed (parking fee collected) at an
exponentially distributed rate at a single station. The mean arrival rate is 4 veh.min and the processing rate is 5
veh/min. Determine the average length of queue (in vehicles), time spent in the system and waiting time spent in
the queue.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75ec34e1-df0f-4408-889f-65c07b9059dd%2F4b854fc0-00aa-4418-a3e3-da7d6d025c72%2Ffvo1axo_processed.png&w=3840&q=75)
Transcribed Image Text:At a parking lot, vehicles arrive according to a Poisson process and are processed (parking fee collected) at an
exponentially distributed rate at a single station. The mean arrival rate is 4 veh.min and the processing rate is 5
veh/min. Determine the average length of queue (in vehicles), time spent in the system and waiting time spent in
the queue.
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