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)
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?
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]
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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- 8. 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_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_forwardNote: Draw relevant graph also.arrow_forward
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- 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.arrow_forwardAn 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_forward5. 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_forward
- An expressway consists of four lanes, where the capacity per lane is 2500 vehicles. In normal days, 6500 vehicles pass. However, there is an emergency road repair conducted in which two lanes will be closed. The repair lasted 150 minutes. Calculate the maximum queue length, total length, and number of vehicles impacted by the event, and average individual delay.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_forwardIt is known that the capacity is 3800 veh/h and the jam density is 225 veh/mi. What is the space-mean speed of the traffic at capacity, and what is the free-flow speed? if chart or graph was used please attaxch below and explain how its usedarrow_forward
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