Vehicles begin to arrive at a freeway off-ramp meter with an arrival rate of 2(t)=50+3.661 [with t in minutes and λ (1) in vehicles per minute] at 7:50 A.M., after 25 minutes, the arrival rate is decreased to 10 vehicles per minutes and stays at that level until all the queues are dissipated. The meter opens at 8:00 A.M. and serves vehicles at a rate of 60 per minute throughout the day. Assuming D/D/1 queuing. answer the following: a) Plot the queue diagram. b) When will the queue dissipate? c) What is the total vehicle delay on the freeway?
Vehicles begin to arrive at a freeway off-ramp meter with an arrival rate of 2(t)=50+3.661 [with t in minutes and λ (1) in vehicles per minute] at 7:50 A.M., after 25 minutes, the arrival rate is decreased to 10 vehicles per minutes and stays at that level until all the queues are dissipated. The meter opens at 8:00 A.M. and serves vehicles at a rate of 60 per minute throughout the day. Assuming D/D/1 queuing. answer the following: a) Plot the queue diagram. b) When will the queue dissipate? c) What is the total vehicle delay on the freeway?
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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![Vehicles begin to arrive at a freeway off-ramp meter with an arrival rate of
2(t)=50+3.661 [with t in minutes and λ (1) in vehicles per minute] at 7:50 A.M.,
after 25 minutes, the arrival rate is decreased to 10 vehicles per minutes and stays at
that level until all the queues are dissipated. The meter opens at 8:00 A.M. and serves
vehicles at a rate of 60 per minute throughout the day. Assuming D/D/1 queuing.
answer the following:
a) Plot the queue diagram.
b) When will the queue dissipate?
c) What is the total vehicle delay on the freeway?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1954805f-b750-4584-bfb2-9d42ac1b9e1b%2F4c51c3ef-dd42-498a-b531-71d320c8fbfa%2Fen7xrdh_processed.png&w=3840&q=75)
Transcribed Image Text:Vehicles begin to arrive at a freeway off-ramp meter with an arrival rate of
2(t)=50+3.661 [with t in minutes and λ (1) in vehicles per minute] at 7:50 A.M.,
after 25 minutes, the arrival rate is decreased to 10 vehicles per minutes and stays at
that level until all the queues are dissipated. The meter opens at 8:00 A.M. and serves
vehicles at a rate of 60 per minute throughout the day. Assuming D/D/1 queuing.
answer the following:
a) Plot the queue diagram.
b) When will the queue dissipate?
c) What is the total vehicle delay on the freeway?
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