Question

oustion 5 (8 narsyof 00 h in te southbound dit-vehicle crash close the fewn he A freeway has a capacity of 4000 vph in the southbound direction. Steady state demand flow is 3500 vph during the morning commute. At 8:00 AM, a multi-vehicle crash closes the freeway to all traffic. The incident was quickly detected by an advanced incident detection system in the traffic operations centre, and help was on the way in a few minutes. At 8:15 AM, the freeway is partially opened with a capacity of 2000 vph. At 8:30 AM, more of the wreckage is removed and the freeway capacity increases to 3000 vph. Finally, all of the wreckage is removed and the freeway is restored to full capacity (4000 vph) at 9:00 AM. Assume a D/D/1 FIFO queuing system a) Sketch the formation/dissipation of the resulting queue on a queuing diagram. (2 marks) b) Using deterministic queuing analysis, calculate: i. The duration of queue presence in hours (To). (1 mark) ii. Total number of vehicles affected (No). (1 mark) iii. Maximum queue length (Qmax). (1 mark) iv. Max individual delay in hours (dmax). (1 mark) v. Total delay in vehicle-hours (TD). (2 marks)

Answer 1

10 t- 60 120 win 2 22- 2x112 (1-0バ a 23 h (6-5) 1,.8

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