A traffic signal has a 60-second cycle length. For the traveldirection of interest, the effective red and green times are 30seconds each, the arrival rate is constant at 20 vehs/min and thesaturation flow (i.e., the queue discharge rate) is 1 veh/sec.
a. Calculate the average delay (in seconds) for the traveldirection of interest
b. What is the maximum length of a queue (in vehicles)?
c. Assume that works on the street are taking place downstreamof the intersection so that only 20 vehs/min (in the direction ofinterest) can pass. Calculate the average delay [sec] caused by thestreet work to a vehicle leaving the intersection. Assume that thequeue at the downstream restriction never backs-up into theintersection.