PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
PRIN.OF HIGHWAY ENGINEERING&TRAFFIC ANA.
7th Edition
ISBN: 9781119610526
Author: Mannering
Publisher: WILEY
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Chapter 7, Problem 17P
To determine

The arrival rate such that it remains unchanged over the observation period.

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An intersection has a three-phase signal with the movements allowed in each phase and corresponding analysis and saturation flow rates shown in the table below. (1) Calculate the sum of the flow ratios for the critical lane groups. (2) calculate the minimum cycle length and the effective green time for each phase (balancing v/c for the critical lane groups). Assume the lost time is 4 seconds per phase and a critical intersection v/c of 0.90 is desired.
Vehicles arrive at an intersection approach at 550 veh/h at the beginning of an effective red and 15 vehicles are left in the queue from the previous cycle (end of the effective green). Due to peak hour congestion, the arrival rate increases 50 veh/h/min. Therefore after 1 minute, the arrival rate will be 600 veh/h, after 2 minutes it is 650 veh/h. The saturation flow rate of the approach is 1800 veh/h, the cycle length is 65 seconds, and the effective green time is 30 seconds. Determine the total vehicle delay until complete queue clearance. (Assume D/D/1 queuing).
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?
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