1. An approach to a pretimed signal is timed so that the effective green starts 4 seconds after 13 vehicles are in the queue. The cycle length is 70 seconds and the arrival rate for a specific cycle is v(t) = 0.52 – 0.003t [with v(t) in veh/s and t in seconds measured from the beginning of the effective red of the cycle]. If there are 3 vehicles in the queue at the beginning of a specific cycle (effective red) and the queue clears 4 seconds before the end of the cycle (effective green), what is the saturation flow of the approach and the approach’s total delay over the cycle? (Assume D/D/1 queuing.)
2. At an intersection approach, at the beginning of an effective red there are 10 vehicles in a queue. Vehicles arrive at a constant rate of 600 veh/h and the saturation flow of the approach is 1800 veh/h. the cycle length is 60 seconds and the approach gets 30 seconds of effective green. What will the total
delay be (in veh-s) after two cycles at the approach? (Assume D/D/1 queuing.)
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