An approach at a pretimed signalized intersection has an arrival rate of 500 veh/hr and a saturation flow rate of 3000 veh/hr. 30 seconds of effective green are given in a 100-second cycle. Analyze the intersection assuming D/D/1 queueing by describing the proportion of the cycle with a queue, the maximum number of vehicles in the queue, the total and average delay, and the maximum delay.
With the statements in the problem, we know:
Green Time = 30 seconds
Red Time = 70 seconds
Cycle Length = 100 seconds
Arrival Rate = 500 veh/hr (0.138 veh/sec)
Departure Rate = 3000 veh/hr (0.833 veh/sec)
Traffic intensity, , is the first value to calculate.
Time to queue clearance after the start of effective green: