Problem : Queueing Theory
At 7:30 pm, vehicles are travelling on a two-lane segment of US99 at a rate of 2400 vph. The capacity of the freeway is 1800 vph per lane. At 8:00 pm, an accident happens and completely blocks one of the two lanes. It takes Caltrans 20 minutes to clear the accident and open the blocked lane back to traffic. Answer the following.
Draw the queueing diagram
Calculate the following statistics:
A. Time queue dissipates.
B. The delayed vehicle suffering the longest delay.
C. Delay of the 1000th delayed vehicle.
D. Average delay.