> Commercial trucks begin to arrive at a seaport entry plaza at 7:50 a.m., at the rate of λ(t) = 6.3 -0.25t veh/min, with t in minutes. The plaza opens at 8:00 a.m. For the first 10 minutes, one processing booth is open. After the first 10 minutes until the queue clears, two processing booths are open. Each booth processes trucks at a uniform rate of 2 per minute. What is the average delay per vehicle, the maximum queue length, and the average queue length?

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter4: Traffic Engineering Studies
Section: Chapter Questions
Problem 21P
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> Commercial trucks begin to arrive at a seaport entry plaza at 7:50 a.m., at the rate of
λ(t) = 6.3 -0.25t veh/min, with t in minutes. The plaza opens at 8:00 a.m. For the first 10 minutes,
one processing booth is open. After the first 10 minutes until the queue clears, two processing
booths are open. Each booth processes trucks at a uniform rate of 2 per minute. What is the average
delay per vehicle, the maximum queue length, and the average queue length?
Transcribed Image Text:> Commercial trucks begin to arrive at a seaport entry plaza at 7:50 a.m., at the rate of λ(t) = 6.3 -0.25t veh/min, with t in minutes. The plaza opens at 8:00 a.m. For the first 10 minutes, one processing booth is open. After the first 10 minutes until the queue clears, two processing booths are open. Each booth processes trucks at a uniform rate of 2 per minute. What is the average delay per vehicle, the maximum queue length, and the average queue length?
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