Observing a deterministic queue in 3 hours, suppose vehicles arrive at a rate of 500 vph for the first hour and 150 vph for the second and third hours. The service rate is 150 vph for the first two hours. The server can discharge 500 vehicles for the last hour. (a) What is the queue length after 30 minutes? [4 pts] (b) What is the maximum queue length? [4 pts] (c) When does the maximum queue happen? [4 pts] (d) What is the total delay? [4 pts] (e) Describe how the queue grows and discharges in this queuing process. [4 pts]
Observing a deterministic queue in 3 hours, suppose vehicles arrive at a rate of 500 vph for the first hour and 150 vph for the second and third hours. The service rate is 150 vph for the first two hours. The server can discharge 500 vehicles for the last hour. (a) What is the queue length after 30 minutes? [4 pts] (b) What is the maximum queue length? [4 pts] (c) When does the maximum queue happen? [4 pts] (d) What is the total delay? [4 pts] (e) Describe how the queue grows and discharges in this queuing process. [4 pts]
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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![Observing a deterministic queue in 3 hours, suppose vehicles arrive at a rate of 500 vph for the first
hour and 150 vph for the second and third hours. The service rate is 150 vph for the first two hours.
The server can discharge 500 vehicles for the last hour.
(a) What is the queue length after 30 minutes? [4 pts]
(b) What is the maximum queue length? [4 pts]
(c) When does the maximum queue happen? [4 pts]
(d) What is the total delay? [4 pts]
(e) Describe how the queue grows and discharges in this queuing process. [4 pts]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F553c03f6-c199-4870-a061-8ddf7adde455%2Fddcbdcb6-70a4-47f8-9b68-e0f5bee69c40%2Fp1n1tb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Observing a deterministic queue in 3 hours, suppose vehicles arrive at a rate of 500 vph for the first
hour and 150 vph for the second and third hours. The service rate is 150 vph for the first two hours.
The server can discharge 500 vehicles for the last hour.
(a) What is the queue length after 30 minutes? [4 pts]
(b) What is the maximum queue length? [4 pts]
(c) When does the maximum queue happen? [4 pts]
(d) What is the total delay? [4 pts]
(e) Describe how the queue grows and discharges in this queuing process. [4 pts]
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