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An approach at a signalized intersection with a 75-second cycle gets 26.25 seconds of displayed green time. Yellow time is 4 seconds and all-red is 2 seconds (lost time is to be determined from standard assumptions). At the beginning of an effective red there are 9 vehicles in the queue and the saturation flow is 867 veh/h. The arrival rate is given by v(t) = 0.18 - 0.0011 (with v(t) in veh/s and t in seconds after the beginning of the effective red). What is the average vehicle delay for this approach in seconds at the end of the cycle (until the next effective red) that started with the 9 vehicles queued at the beginning of the effective red? (Assume D/D/1 queueing. Please provide you answer in decimal form without units)

An approach at a signalized intersection with a 75-second cycle gets 26.25 seconds of displayed green time. Yellow time is 4 seconds and all-red is 2 seconds (lost time is to be determined from standard assumptions). At the beginning of an effective red there are 9 vehicles in the queue and the saturation flow is 867 veh/h. The arrival rate is given by v(t) = 0.18 - 0.0011 (with v(t) in veh/s and t in seconds after the beginning of the effective red). What is the average vehicle delay for this approach in seconds at the end of the cycle (until the next effective red) that started with the 9 vehicles queued at the beginning of the effective red? (Assume D/D/1 queueing. Please provide you answer in decimal form without units)

Traffic and Highway Engineering
Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter8: Intersection Control
Section: Chapter Questions
Problem 26P
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An approach at a signalized intersection with a 75-second cycle gets 26.25 seconds of displayed green time. Yellow time is 4 seconds and all-red is 2 seconds (lost time is to be determined from standard assumptions). At the beginning of an effective red there are 9 vehicles in the queue and the saturation flow is 867 veh/h. The arrival rate is given by v(t) = 0.18 - 0.0011 (with v(t) in veh/s and t in seconds after the beginning of the effective red). What is the average vehicle delay for this approach in seconds at the end of the cycle (until the next effective red) that started with the 9 vehicles queued at the beginning of the effective red? (Assume D/D/1 queueing. Please provide you answer in decimal form without units)
Transcribed Image Text:An approach at a signalized intersection with a 75-second cycle gets 26.25 seconds of displayed green time. Yellow time is 4 seconds and all-red is 2 seconds (lost time is to be determined from standard assumptions). At the beginning of an effective red there are 9 vehicles in the queue and the saturation flow is 867 veh/h. The arrival rate is given by v(t) = 0.18 - 0.0011 (with v(t) in veh/s and t in seconds after the beginning of the effective red). What is the average vehicle delay for this approach in seconds at the end of the cycle (until the next effective red) that started with the 9 vehicles queued at the beginning of the effective red? (Assume D/D/1 queueing. Please provide you answer in decimal form without units)
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