Question

Question Two (30 points): Suppose that we are studying the traffic conditions of a 3-lane freeway segment. The capacity, or the maximum possible departure rate, of the segment is 2,000 vehicles/hour/lane. In the moning peak hours from 7:00AM to 9:00A M, the arrival rate is 5,400 vehicles per hour. After 9:00AM, the arrival rate is reduced to 3,000 vehicles per hour. At 7:30AM, a stalled truck blocks one (1) lane. The blockage is cleared at 8:00AM. Answer the following questions: (1) Draw cumulative plots showing the arrival and the departure patterns. (2) When will the queue be totally cleared? (3) What is the total delay to traffic caused by the stalled truck? (4) If a driver arrives at the freeway segment at 8:.30AM, what is his/her waiting time?

Answer 1

" 6000 vch /in working (rast ima) 古an 2 lane. 1121 4000 veh/hn LJgHana (u ) μΖ"66-67 mi 7: 30 am to 8:00am Min λ2 L 3000 uth/hn ( 9:00 am and a ds) 5D vehIun au 9000 asvuwal crur 5006 38 57.7 3000 50 42-3660D 8:00 q0 100 120 7:00 9:00 eue Quene lune elotaly orad st too min Total dala 1g ahadas hegian 8:40 am し .L X 400 X (100-42-36 2 2 1 1 4 28 veh. mun

vehucle at 8 30 am (1o mun 2 90x90 8100 loo t 10 00 8100 t910 l00 mun dasting lime 11 0 mun