Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
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Chapter 12, Problem 27P
To determine
The two iteration of multipath traffic assignment.
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Define the following terms and cite examples of how they are used:
1. Average daily traffic (ADT)
The following data was collected during a study
of two arterial lanes. Estimate the continuous
15-minute counts for the two-lane roadway as a whole. Find the peak hour, and compute the
PHF.
Use 2 decimal places in your final
4.
Route 1 has a free flow travel time of 10 minutes and the average travel time on this route increases by 3 minutes for every vehicle
increase and Route 2 has a free flow travel time of 15 minutes and its average travel time increases by 2 minutes for every vehicle
increase. Compare the results for UE and SO conditions with a flow rate is 12 veh/hr, determine the ff:
Travel times on each route
Traffic volumes on each route
Total system travel time
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Chapter 12 Solutions
Traffic and Highway Engineering
Ch. 12 - Prob. 1PCh. 12 - Prob. 2PCh. 12 - Prob. 3PCh. 12 - Prob. 4PCh. 12 - Prob. 5PCh. 12 - Prob. 6PCh. 12 - Prob. 7PCh. 12 - Prob. 8PCh. 12 - Prob. 9PCh. 12 - Given a table with production and attraction data,...
Ch. 12 - Given a table with production and attraction data,...Ch. 12 - Prob. 12PCh. 12 - Prob. 13PCh. 12 - Prob. 14PCh. 12 - Prob. 15PCh. 12 - Prob. 16PCh. 12 - Prob. 17PCh. 12 - Prob. 18PCh. 12 - Prob. 19PCh. 12 - Prob. 20PCh. 12 - Prob. 21PCh. 12 - Prob. 22PCh. 12 - Prob. 23PCh. 12 - Prob. 24PCh. 12 - Prob. 25PCh. 12 - Prob. 26PCh. 12 - Prob. 27PCh. 12 - Prob. 28P
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- 4. Three routes connect and origin and a destination with performance functions t₁ = 8 + x₁, t₂ = 1 + 2x₂, and t3 = 1 + 0.5x3 (with x's in thousands of vehicles per hour and t's in minutes). If the peak-hour traffic demand is 3400 vehicles, determine user- equilibrium traffic flows on each route. [Ans: x₂ = 0.68]arrow_forward8. In a volume study of a street in Kasoa, the following data was collected on a Sunday. The data was collected for a 24 hour period at hourly intervals as shown in the table below. Knowing that the traffic volume for this week is 10,000 vehicles/week (a) Calculate the hourly expansion factor (HEF) (b) Calculate the Daily expansion factor (DEF) for Sunday (c) Find the peak hour and peak hour volume (d) Calculate the maximum 15-min flow rate, If PHF=0.82 Time No. of Veh HEF Time No. of Veh HEF 12:00-01:00 am 105 01:00-02:00 am | 110 02:00-03:00 am 95 03:00-04:00 am 90 04:00-05:00 am 75 05:00-06:00 am 75 06:00-07:00 am 80 07:00-08:00 am 70 08:00-09:00 am 60 12:00-01:00 am 10 01:00-02:00 am 02:00-03:00 am 03:00-04:00 am 04:00-05:00 am 8 5 7 15 25 05:00-06:00 am 06:00-07:00 am 07:00-08:00 am 08:00-09:00 am 09:00-10:00 am 10:00-11:00 am 40 110 130 90 09:00-10:00 am 40 10:00-11:00 am 30 11:00-12:00 pm | 25 95 11:00-12:00 pm 110arrow_forwardThe number of vehicles arriving at the upstream of a freeway bottleneck (free of queues) is shown in the table below. Based on the numbers given in the table, determine: (1) Bottleneck capacity in vehicles per hour (vph) (2) Downstream measured flow rate in the third time interval (3) The demand during the third time interval (4) Queue length at the end of the third and fourth intervalsarrow_forward
- 2. There are two routes in use between Zones 1 and 2. The volume-delay functions for the two routes are as follows: V1 V2 t1 = 22 + 250 t2 = 15 + 150 where t = travel time(minutes) V = traffic volume If the total traffic volume is 6,950 vehicles per hour between the two zones, what are the traffic volumes and travel times on each of the two routes at a user-equilibrium (UE) condition?arrow_forward2) Given the following data for five traffic analysis zones (TAZ): Zone Production Attraction 1 1 2 4 The travel times are as follows: 5 13 min 20 min 15 min 450 600 270 325 0 9 min 7 min 5 min 3 400 750 120 0 350 Determine the trips on the following: T1-3 and T2-5.arrow_forwardThe 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)?arrow_forward
- 5. The table below gives data on accepted and rejected gaps of vehicles on the minor road of an unsignalized intersection. If the arrival of major road vehicles can be described by the Poisson distribution, and the peak hour volume is 1100 veh/h, determine the expected number of accepted gaps that will be available for minor road vehicles during the peak hour. Number of Rejected Gaps > t Number of Accepted Gaps >t Gap (t) (s) 1.5 92 3 2.5 52 18 3.5 30 35 4.5 10 62 5.5 2 100arrow_forwardThe following figure shows the Level of Service (LOS) criteria for a multilane highway segment. If the free flow speed is 45 mph and the analysis flow rate is 1800 passenger cars per hour per lane (pc/h/In). What is the actual speed and density of the traffic flow at this specific location? What is the LOs of the location? 70 free-flow Seed 60 mih 56 mi 50 mih 45 mih LOS A 60 50 40 30 20 pomit 45 400 800 1200 1600 2000 2400 Flow Rate (pc/h/in) (uju) paads eg-buasseg abeanyarrow_forwardThe 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.arrow_forward
- An origin-destination pair is connected by a route with a performance function tj = 8 + X1, and another with a function t2 = 1 + 2x2 (with x's in thousands of vehicles per hour and t's in minutes). If the total origin destination flow is 4000 veh/h, determine user equilibrium and system-optimal route travel times, total travel time (in vehicle- minutes), and route flows.arrow_forwardAn origin-destination pair is connected by a route with a performance function t₁ = 8 + x₁, and another with a function t₂ = 1 + 2x₂ (with x's in thousands of vehicles per hour and t's in minutes). If the total origin destination flow is 4000 veh/h, determine user equilibrium and system-optimal route travel times, total travel time (in vehicle-minutes), and route flows.arrow_forwardQUESTION 1 3 booths, each of which can handle one vehicle every 6 second. a. If D/D/1 model is used, what is total service rate of the system? (you can express this in total vehicles that can be handled in 10 minutes) 6. Draw the queuing diagram (cumulative traffic volumes vs. time) with traffic upstream arriving volume and this service rate. C. Using the queuing diagram, determine the max queue, the longest delay to an individual vehicle and total delay (veh-min). Time Period 10-min Volume 7:00-7:10 200 स 7:10-7:20 400 7:20-7:30 500 7:30-7:40 250 7:40-7:50 200 7:50-8:00 150arrow_forward
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