The maximum number of vehicles observed in any five minute period during the peak hour is 160. If the total flo in the peak hour is 1000 vehicles, the five minute peak hour factor (round off to 2 decimal places) is
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- Vehicles arrive at an entrance to a recreational park. There is a single gate (at which all vehicles must stop), where a park attendant distributes free brochures. The park opens at 8:00 AM. At which vehicles begin to arrive at a rate of 480 veh/h. After 20 minutes, the arrival flow rate declines to 120 veh/h and corrtinues at that level for the remainder of the day. If the time required to distribute the brochure is 15 seconds, and assuming D/D/1 queuing (a) draw the queuing diagram (b) describe the operational characteristics of the queue (maximum queue length, maximum queuing time, average queuing time per vehicle etc.)Compute the rate of flow in veh/hr if the space mean speed is 35 mph and the density of traffic is 17 veh/km.Compute the peak hour factor if the hourly volume of traffic is 1800 vehicles/hour and the highest 20-min. volume is 800.
- The rate of arrival of vehicles at the expressway can be considered to be Poisson with a mean of 45 veh/hr, and the rate of service to vehicles can be assumed to be exponentially distributed with a mean of 1 min. (a) What is the average number of vehicles waiting to be served at the booth (that is, the number of vehicles in queue, not including the vehicle being served)? (b) What is the length of the ramp required to provide storage for all exiting vehicles 90% of the time? Assume the average length of a vehicle is 18 ft and that there is an average space of 10 ft between consecutive vehicles waiting to be served. (c) What is the average waiting time a driver waits before being served at the tollbooth (that is, the average waiting time in the queue)?A traffic engineering counted vehicles on Rt. 9 and found that, on average, a vehicle passes in front of her at a rate of every 5 seconds. If vehicles keep coming at this rate, what would be the equivalent hourly flow rate?Traffic flow shows the magnitude of the vehicle headway on average 2.2 seconds at a speed of 50 km/hour. Calculate the density and flow rate for this traffic flow.
- During peak hours, 3800 vehicles pass through a certain highway from 9:00 AM to 11:00 AM, withspace mean speed of 20 kph. What is the average space headway per vehicle in meters?Two platoons of cars are timed over a distance of 0.5km. Their flows are recorded. The first group is timed at 40 seconds, with the flow at 1350 vehicles per hour. The second group take 45 seconds, with a flow of 1800 vehicles per hour. Determine free flow speed , jam density and the maximum flow of the traffic stream.1. A toll booth on a turnpike is open from 8:00 a.m. to 12 midnights. Vehicles start arriving at 7:45 a.m. at a uniform deterministic rate of six per minute until 8:15 a.m. and from then on at two per minute. If vehicles are processed at a uniform deterministic rate of six per minute, determine when the queue will dissipate, the total delay, the maximum queue length (in vehicles), and the longest vehicle delay.
- The average queue length at the intersection of the two roads with a stop signs is 4 vehicles. If the arrival rate of vehicles at the stop sign is 300 vehicles per hour, determine the service rate of the road in vehicles per hour. Assume both arrival and departure rates are exponentially distributed.The average queue length at the intersection of the two roads with a stop sign is 4 vehicles. If the arrival rate of vehicles at the stop sign is 300 veh/hr, determine the service rate of the road in veh/hr. Assume both arrival and departure rates are exponentially distributed.On an expressway, it was recorded that there is an average of 22 vehicles that are passing the said portion of the highway in every minute. Evaluate the value of the flow of traffic on that day in veh/hr.