A segment of eight-lane urban freeway experiences a breakdown that blocks two lanes completely for a period of one hour in the peak direction. The breakdown occurs at 9:00 AM and is cleared by 10:00 AM. The capacity of the segment is 2,100 veh/h/ln, with a maximum queue discharge rate of 1,800 veh/h/In. Beginning at 9 AM, the traffic demand at this location is:
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- Consider an arrival rate of 200 veh/hr for the first 30 minutes (0.5 hr) and 100 veh/hr afterwards (0.5 hr and onward). The maximum capacity (departure rate) for the roadway segment is 150 veh/hr. Determine the maximum excess accumulation.Traffic flow on a three-lane (one direction) freeway can be described by the Greenshields model. One lane of the three lanes on a section of this freeway will have to be closed to undertake an emergency bridge repair that is expected to take 2 hours. It is estimated that the capacity at the work zone will be reduced by 25 percent of that of the section just upstream of the work zone. The mean free flow speed of the highway is 60 mi/h and the jam density is 140 veh/mi/ln. If it is estimated that the demand flow on the highway during the emergency repairs is 85 percent of the capacity, using the deterministic approach, determine the following. the maximum queue length (in veh) that will be formed the total delay (in h) the number of vehicles that will be affected by the incident the average individual delay (in min)An incident occurs on a freeway that has a capacity in the north bound direction, before incident, of 4000 veh/h and a constant flow of 2900 veh/h during the morning commute (no adjustments to traffic flow result from the incident). At 8:00am, a vehicle crash closes the freeway to all traffic. At 8:12am, the freeway is partially opened with a capacity of 2000 veh/h. Finally, the crash site is removed and the freeway is restored to full capacity of 4000 veh/h at 8:31am. Assuming the traffic follows a D/D/1 queueing (FIFO queue discipline) to determine time of queue dissipation, longest queue length, total delay, average delay per vehicle, and longest wait of any vehicle.
- A four-lane undivided multilane highway (two lanes in each direction) has 11-ft lanes, 4-ft shoulders, and 10 access points per mile. It is determined that the roadway currently operates at capacity with PHF= 0.80 and a driver population adjustment of 0.9. If the highway is on level terrain with 8% large trucks and buses (no recreational vehicles) and the speed limit is 55 mi/h, what is the directional hourly volume?Consider the problem of traffic flow on a three-lane (one direction) freeway which can be described by the Greenshields model. One lane of the three lanes on a section of this freeway will have to be closed to undertake an emergency bridge repair that is expected to take several hours. It is estimated that the capacity at the work zone will be reduced by 28 percent of that of the section just upstream of the work zone. The mean free flow speed of the highway is 60 mi/h and the jam density is 140 veh/mi/ln. It is estimated that the demand flow on the highway during the emergency repairs is 86 percent of the capacity. Using the deterministic approach, determine the following for the expected repair periods of 1 h,1.5 h,2.5 h,2.75 h, and 3 h. (a) the maximum queue length (in veh) that will be formed (b) the total delay (in h) (c) the number of vehicles that will be affected by the incident (d) the average individual delay (in min) (e) Plot a graph of average individual delay…due to closure of certain lanes of a highway, the capacity is reduced to 75% of its normal capacity. If in normal capacity the jam density of the highway is 103 veh/km, and the free flow speed is 58 kph, determine what would be the maximum flow if the flow is limited to 85% of its current state.
- One segment of a Class I two-lane highway is on rolling terrain and has an hourly volume of 950 veh/h (total for both directions), a directional traffic split of 70/30, and PHF = 0.85, and the traffic stream contains 6% large trucks, 3% buses, and 6% recreational vehicles.Consider the problem of traffic flow on a three-lane (one direction) freeway which can be described by the Greenshields model. One lane of the three lanes on a section of this freeway will have to be closed to undertake an emergency bridge repair that is expected to take several hours. It is estimated that the capacity at the work zone will be reduced by 29 percent of that of the section just upstream of the work zone. The mean free flow speed of the highway is 55 mi/h and the jam density is 130 veh/mi/ln. It is estimated that the demand flow on the highway during the emergency repairs is 84 percent of the capacity. Using the deterministic approach, determine the following for the expected repair periods of 1 h, 1.5 h, 2.5 h, 2.75 h, and 3 h. (a) the maximum queue length (in veh) that will be formed (b) the total delay (in h) (c) the number of vehicles that will be affected by the incident (d) the average individual delay (in min)What would be the capacity of the highway if the jam density 200 veh/km, and having a flow rate of 500 veh/hr when density is 155 veh/km
- 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 veh/h/lane at this time. At 4:45 p.m., the disabled vehicle is removed from the shoulder and the capacity increases to 1500 veh/h/lane. At 5:00 p.m., the roadway capacity returns to its full value of 1800 veh/h/lane. From 4:30 p.m. until the queue clears the traffic flow rate in the southbound direction is 1600 veh/h/lane. What are 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)?A two-lane rural highway carries a peak hour volume of 465 (vph) and has the following characteristics: Roadway: 60mph design; 11 foot lanes, 2 foot shoulders; rolling terrain; 60% no-passing zones; length = 3 miles. Traffic: 70/30 directional split; 4% trucks; 2 percent recreational vehicles; 1 percent buses; PHF = 0.95 a) What Level of Service will the highway operate under during peak periods? b) What is the capacity of the highway? Explain why this is less than 2,800 (vph)?1) A 6-lane two-way arterial road has a maximum flow of 6,000 vehicles per hour on one direction. It is operating at 3,600 vehicles per hour at time, t=0. A collision occurs, blocking the two lanes, and restricting the flow of the outermostlane to 1,600 vehicles per hour. After 40minutes, the police have cleared the middlelane from accident debris; the operating volume at that time increased to 2,400 vehicles per hour.20 minutes past, the innermost lane was finally cleared of the accident. Traffic returns to normalas soon as the queue has already immoderate. a.Determine the maximum length of queue that occurred. b.How long did it take to dissipate the queue? c.If a vehicle entered the road at t=10 minutes, how long will it take for it to leave the traffic?