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[λ(t) is in veh/min and t is 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 two per minute. What is the average delay per vehicle, the maximum queue length, and the average queue length?

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[λ(t) is in veh/min and t is 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 two 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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