The length of the cycle and the average delay per vehicle over the cycle.

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Chapter 7, Problem 32P

To determine

The length of the cycle and the average delay per vehicle over the cycle.

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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)

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