The average delay rate per vehicle, the maximum queue length and the average queue in the southbound direction resulting from the accident

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Chapter 5, Problem 49P

To determine

The average delay rate per vehicle, the maximum queue length and the average queue in the southbound direction resulting from the accident

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A four-lane highway has a normal capacity of 1800 vehicles per hour per lane. In the southbound direction, a vehicle disablement on the roadway shoulder occurs at 4:30 p.m. Due to rubbernecking, the capacity in the southbound direction is reduced to 1200 xsh/h/lane at this time. At 4:45 p.m., the disabled vehicle is removed from the shoulder and the capacity increases to 1500 yeh/h/lane. At 5:00 p.m., the roadway capacity returns to its full value of 1800 ysh/h/lane. From 4:30 p.m. until the queue clears the traffic flow rate in the southbound direction is 1600 xsh/h/lane. What is the average delay per vehicle, the maximum queue length, and the average queue length in the southbound direction resulting from the incident (assuming D/D/1 queuing)?

8. A four-lane highway has a normal capacity of 1800 veh/hr/lane. In the southbound direction, a vehicle disablement on the roadway shoulder occurs at 4:30 p.m. Due to rubbernecking, the capacity in the southbound direction is reduced to 1200 veh/hr/ lane at this time. At 4:45 p.m., the disabled vehicle is removed from the shoulder and the capacity increases to 1500 veh/hr/lane. At 5:00 p.m. the roadway capacity returns to its full value of 1800 veh/hr/lane. From 4:30 p.m. until the queue clears the traffic flow is 1600 veh/hr/lane. Determine the following: 1. Average delay per vehicle 2. Maximum queue length 3. Average queue length in the southbound direction

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