PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
7th Edition
ISBN: 9781119610526
Author: Mannering
Publisher: WILEY
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Chapter 7, Problem 24P
To determine
The effective green time, the effective red time and the total vehicle delay on the approach for the given cycle.
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Traffic demand shown in the figure below uniformly arrives at an intersection. Determine the
optimal cycle length and split for the 2- phase signal control. The saturation flow rate of each
approach is 2000 [veh/hr of effec-tive green] during the first 40 [sec] after the start of green, but it
drops to 1900 [veh/hr of effective green] thereafter. Also, the lost time is assumed to be 5
[sec/phase].
1000[veh/h]
300[veh/h]
500[veh/h]
1300[veh/h]
The saturation flow for an intersection approach is 3600 veh/h. At the beginning of cycle no vehicles are queued. The signal is timed so that what the queue is 13 vehicles the effective green begins. If the queue dissipates 8 seconds before the end of the cycle and the cycle length is 60 seconds. What is the arrival rate assuming D/D/1 queuing?
An approach at a signalized intersection with a 60-second cycle gets 30 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 4 vehicles in the queue and the saturation flow is 876 veh/h. The arrival rate is given by v(t) = 0.20
- 0.002t [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 4 vehicles queued at the
beginning of the effective red? (Assume D/D/1 queueing. Please provide you answer in decimal form without units)
Chapter 7 Solutions
PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
Ch. 7 - Prob. 1PCh. 7 - Prob. 2PCh. 7 - Prob. 3PCh. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 7PCh. 7 - Prob. 8PCh. 7 - Prob. 9PCh. 7 - Prob. 10P
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- An observer notes that an approach to a pretimed signal has a maximum of eight vehicles in a queue in a given cycle. If the saturation flow rate is 1440 veh/h and the effective red time is 40 seconds, how much time will it take this queue to clear after the start of the effective green (assuming that approach capacity exceeds arrivals and D/D/1 queuing applies)?arrow_forwardAn approach to a signalized intersection has a saturation flow rate of 1800 veh/h. At the beginning of an effective red, there are six vehicles in the queue and vehicles arrive at 900 veh/h. The signal has a 60- second cycle with 25 seconds of effective red. What is the total vehicle delay after one cycle (assume D/D/1 queuing)?arrow_forwardCars have a long queue at a stop sign. If the total time delay queueing is one min., compute the traffic intensity if the service rate of the road is only 360 veh/ hr. Assume both arrival and departure rates are exponentially distributed.arrow_forward
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