A freeway has a capacity of 4500 veh/hr. A traffic accident occurs at 9AM and the freeway is closed. At 9:15 AM, the freeway is partially opened with capacity of 1500 veh/hr. Freeway is restored to full capacity 4500 veh/hr at 9:30 am. Solve the following problem using D/D/1 queuing model. The arrival flow is 3600 veh/hr during 9-9:15 am and 3000 veh/hr after 9:15 am.
1) At which time of the day the queue will be dissipated? (Exact time)
2) At which time of the day is the queue the longest? (Exact time)
3) How many vehicles are there in the queue when the queue is the longest?
4) What is the longest waiting time?
5) What is the total waiting time?
6) What is the average waiting time of vehicles in the queue?