7.24 Vehicles arrive at an approach to a pretimed signalized intersection. The arrival rate over the cycle is given by the function v(t) = 0.22 + 0.012t [v(t) is in veh/s and t is in seconds]. There are no vehicles in the queue when the cycle (effective red) begins. The cycle length is 60 seconds and the saturation flow rate is 3600 veh/h. Determine the effective green and red times that will allow the queue to clear exactly at the end of the cycle (the end of the effective green), and determine the total vehicle delay for this approach over the cycle (assuming D/D/1 queuing).

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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7.24 Vehicles arrive at an approach to a pretimed
signalized intersection. The arrival rate over the cycle
is given by the function v(t) = 0.22 + 0.012t [v(t) is in
veh/s and t is in seconds]. There are no vehicles in the
queue when the cycle (effective red) begins. The cycle
length is 60 seconds and the saturation flow rate is
3600 veh/h. Determine the effective green and red
times that will allow the queue to clear exactly at the
end of the cycle (the end of the effective green), and
determine the total vehicle delay for this approach
over the cycle (assuming D/D/1 queuing).
Transcribed Image Text:7.24 Vehicles arrive at an approach to a pretimed signalized intersection. The arrival rate over the cycle is given by the function v(t) = 0.22 + 0.012t [v(t) is in veh/s and t is in seconds]. There are no vehicles in the queue when the cycle (effective red) begins. The cycle length is 60 seconds and the saturation flow rate is 3600 veh/h. Determine the effective green and red times that will allow the queue to clear exactly at the end of the cycle (the end of the effective green), and determine the total vehicle delay for this approach over the cycle (assuming D/D/1 queuing).
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