A researcher was positioned at the side of a 2-lane rural highway. He recorded the volume of northbound traffic, aggregated into 15 minute intervals. The recorded volumes were 243, 276, 318 and 490 vehicles for the first, second, third, and fourth 15-minute intervals, respectively. Calculate the peak hour factor. Provide your answer to the nearest hundredths.
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- A researcher was positioned at the side of a 2-lane rural highway. He recorded the volume of northbound traffic, aggregated into 15 minute intervals. The recorded volumes were 243, 276, 318 and 490 vehicles for the first, second, third, and fourth 15-minute intervals, respectively. Calculate the peak flow rate (v/h). Provide your answer to the nearest integer.QUESTION 7 A researcher was positioned at the side of a 2-lane rural highway. He recorded the volume of northbound traffic, aggregated into 15 minute intervals. The recorded volumes were 243, 276, 318 and 490 vehicles for the first, second, third, and fourth 15-minute intervals, respectively. Calculate the peak flow rate (v/h). Provide your answer to the nearest integer.7. The following table shows traffic flow data collected at the main road in an urban area, in two successive days during the peak period Day one Flow (veh) Day two Time Flow (veh) 7:30 – 7:45 7:45 – 8:00 900 950 960 8:00 – 8:15 1010 1015 8:15 – 8:30 990 980 (a) Determine the peak hour factor (PHF) (b) Estimate the missing traffic flow count (x) on day two.
- Assume vehicle arrivals are random. On average, six vehicles arrive in one minute. Calculate theprobability of observing less than three vehicles over three minutes. Calculate the probability ofobserving a headway of less than eight seconds.At a specified point on a highway, vehicles are known to arrive according to a Poissonprocess. Vehicles are counted in 30-second intervals, and vehicle counts are taken in 120 ofthese time intervals. It is noted that no cars arrive in 18 of these 120 intervals. a) Approximate the number of these 120 intervals in which exactly three cars arrive. b) Estimate the Percentage of time headways that will be 10 seconds or greater andthose that will be less than 6 seconds.TRAVEL TIME AND DELAY STUDIES • The shows data obtained in a travel time study on a section of highway using the moving-vehicle technique. Estimate (a) the travel time and (b) the volume in each direction at this section of the highway Run Direction/ Number Northward 2 4 5 6 7 8 9 10 Southward 3 4 6 7 8 9 10 No. of Vehicles Travel Traveling in Time Opposite Direction (min) 5.25 5.08 5.30 5.15 5.00 5.51 5.38 5.41 5.12 5.31 4.95 4.85 5.00 4.91 4.63 5.11 4.83 4.91 4.95 4.83 100 105 103 110 101 98 97 112 109 107 85 88 95 100 102 90 95 96 98 90 PARKING STUDIES No. of Vehicles That Overtook Test Vehicle 3 1 0 1 3 0 1 0 0 2 1 1 No. of Vehicles Overtaken by Test Vehicle 2 1 1 0 3 1 0 1 2 PROB 1. Data collected at a parking lot indicate that a total of 300 cars park between 8 a.m. and 6 p.m. 10% of these cars are parked for an average of 2 hr, 30% for an average of 4 hr, and the remaining cars are parked for an average of 10 hr. Determine the space-hours of demand at the lot PROB 2. If 10% of…
- To determine the ADT on the road, the data was collected as shown below on a Tuesday during the following. Consider If the traffic is expected to be 180% from the current traffic up to May 2030, Table 1: Traffic volume at specific time 7:00–8:00 a.m. 8:00 –9:00 a.m 9:00–10:00a.m 10:00–11:00 .m 11:00 –12 noon 150 120 130 50 20Consider the following plot of cumulative arriving and departing vehicles at a freeway bottleneck location: Vehicles 20,000 15,000 10,000 5,000 0 0 30 60 90 120 150 180 210 240 270 300 330 360 Time (mins) Arrivals (vehs) Departures (vehs) From this plot, determine the following: A. What is the capacity of the bottleneck location? 9000 whole number, i.e. X000.) B. What is the maximum size of the queue that develops? 3250 whole number, i.e. X000.) C. What is the longest wait time that any vehicle experiences during the breakdown? to the nearest whole number, i.e. XX.) (Hint: Provide the answer as a numerical number only in units of vehicles per hour and rounded to the nearest thousand (Hint: Provide the answer as a numerical number only in units of vehicles and rounded to the nearest thousand (Hint: Provide the answer as a numerical number only in units of minutes and roundedAt time ? = 0, when the border inspection station was scheduled to open, eight vehicles were already waiting in a queue in front of an inspection booth. Vehicles continued to arrive at a rate of 4 veh/minute. The officer did not start the inspection until ? = 4 minutes. When ?≥4 minutes, the barrier was lifted and vehicles left at a rate of 7.5 veh/minute. Draw the vehicle arrival and departure curves in the following graph. From the graph, determine the maximum queue length and the time the queue disappears. Assume D/D/1 queuing.
- Answer questions 13, 14, 15 and 16 using the following paragraph: Vehicles arrive at the carpark of an airport. Vehicles have to queue at the single entrance gate of the carpark at 9:00 AM. The arrival rate is constant at 240 veh/hr. However, between 9:00 and 9:40 AM, the parking ticket machine at the entrance works slowly due to a malfunction, and consequently, each vehicle spends 30 seconds to take the parking ticket. After 9:40 AM, the problem is solved and vehicles spend only 10 seconds at the gate to take the ticket. What is the longest vehicle queue? Select one: a.70 b.64 c.80 d.20 OOVehicles arrive at an intersection at a rate of 400 veh/h according to a Poisson distribution. What is the probability that more than five vehicles will arrive in a one-minute interval? Answer in three-decimal places.The table below shows the number of vehicles observed on a corridor over each 15-minutes during the peak hour. Peak hour (7--8am) 7:00-7:15am 7:15-7:30am 7:30-7:45am 7:45-8:00am # of vehicle 200 120 153 183 Calculate the peak hour factor and report your answer correct to two digits after the decimal.