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MindTap Engineering for Garber/Hoel's Traffic and Highway Engineering, 5th Edition, [Instant Access], 1 term (6 months)
5th Edition
ISBN: 9781305581159
Author: Nicholas J. Garber; Lester A. Hoel
Publisher: Cengage Learning US
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Question
Chapter 12, Problem 25P
To determine
The assignment of the vehicle trips by the use of all or nothing assignment and to make a list of links in the network and indicate the volume assigned to each.
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hree routes connect an origin and a destination with performance functions: ?1=8+0.5?1; ?2=1+2?2; and ?3=3+0.75?3; with the x’s being the traffic volume expressed in thousands of vehicles per hour and t’s being the travel time expressed in minutes. If the peak hour traffic demand is 3400 vehicles, determine user equilibrium traffic flows. [Hint: Note that one of the paths will not be used under the equilibrium condition
The following cross-classification data have been developed for a European city transportation
study area.
House Hold (HH) Autos/HH (%) Trip Rate/Auto
(%)
Income
Trips (%)
($)
High Med Low O1+2 0 1 +2 HBW HBO NHB
10,000 0 30 70 48 48 4 2.0 6.00 28.5 38
34
28
50 | 4 72| 24 2.5 7.5 30.0 38
2 53 45
20,000
30,000
40,000
50,000 50 50 00 19 81 7.5 12.0 39.0 20
50
34
28
10 70
20
4.0
9.0
33.0
35
34
31
20
75
5 1 32 57 5.5 10.5 36.0 27
35
38
37
60,000 70 30
43
40
0010 90 8.0 13.0 41.0 16
44
Develop the family of cross-classification curves and determine the number of trips produced (by
purpose) for traffic zone containing 1000 houses with an average household income of $30,000.
(Use high = 55,000; medium 25,000; low = 15,000.)
Consider 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 rounded
Chapter 12 Solutions
MindTap Engineering for Garber/Hoel's Traffic and Highway Engineering, 5th Edition, [Instant Access], 1 term (6 months)
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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- A simple road network shown below has two way links. The travel time in minutes for zero volumes is also shown. Using Dijkstras algorithm, determine the following: 1. Minimum path and minimum travel time from zone B to C. Show all necessary diagrams 2. Minimum path and minimum travel time from zone A to D. Show all necessary diagramsarrow_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_forwardGiven the following transportation network and the production/attraction data in each zone. 3 min 3 3 min 4 min 3 min 4 min 2 min 4 min 2 7 min Production/Attraction Table Zone 1 2 3 4 5 Production 600 1000 500 Attraction 300 200 350 400 The number of trips that originates from Zone 3 and ends in Zone 1 is 13 88 29 None of the abovearrow_forward
- An 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_forwardAt the exit of a toll gate with a single booth, vehicles arrive at random at a rate of 20 vehicles per minute. The service has an average rate of 22 vehicles per minute. However, due to variable toll fees, the service is also random with an average rate of 22 vehicles per minute.Estimate average time vehicles spent in the systemGroup of answer choices0.400.500.450.35arrow_forwardto no congestion on the road further downstream of the railway grade crossing. QUESTION 5: Consider trip distribution within 5 zones in an area. The total trip production from zone 1 is 1000. The travel times from zone 1 to zones 2, 3, 4 and 5 are 5, 10, 20, and 30 minutes, respectively. The trip attraction to zones 2, 3, 4 and 5 are 50, 200, 75, and 450, respectively. Assume that the number of trips produced from zone 1 to zones 2, 3, 4 and 5 is inversely proportional to the inter-zonal travel time. (a) Estimate the number of trips from zone 1 to zones 2, 3, 4 and 5 using the gravity model. (b) Assume that the future trip production from zone I will increase to 1,250 and the future trip attraction to zones 2, 3, 4 and 5 will increase to 100, 225, 100, and 600, respectively. Predict the number of trips from zone 1 to zones 2, 3, 4 and 5. The inter-zonal travel times remain the same. (c) Compare the number of trips from zone 1 to each destination zone between (a) and (b). Identify the…arrow_forward
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