Traffic And Highway Engineering
5th Edition
ISBN: 9781133605157
Author: Garber, Nicholas J., Hoel, Lester A.
Publisher: Cengage Learning,
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Question
Chapter 12, Problem 13P
To determine
Trip distribution for two iteration using Fratar method.
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Check out a sample textbook solutionStudents have asked these similar questions
I
100
3
25
300
1
Current Year
IV
50
75
25
200
Future Year
T[I]
T[I]
250
4
400
2
150
III
= 300
= 1000
T [III]
= 800
T [IV]
= 300
Distribute the trips for inter zonal movement based on Uniform Growth Factor
Method and Detroit Method. Compare the iteration number & give your conclusion.
A small town has been divided into three traffic zones. An origin-destination survey was
conducted earlier this year and yielded the number of trips between each zone as shown
in the table below. Travel times between zones were also determined. Provide a trip dis-
tribution calculation using the gravity model for two iterations. Assume K; = 1.
The following table shows the number of productions and attractions in each
zone.
Zone
1
2
3
Total
Productions
250
450
300
1000
Attractions
395
180
425
1000
The survey's results for the zones' travel time in minutes were as follows.
Zone
1
3
1
6
4
2
2
8
3
3
1
3
The following table shows travel time versus friction factor.
Time (min)
1
2
4
7
8
Friction Factor
82
52
50
41
39
26
20
13
2.
In a survey in the base year, the trip attraction, number of employees and shopping area in the zones are found
as follows:
Zone
1
2
3
4
5
6
7
8
9
10
Trip attraction
(Trips/day)
34,000
33,000
37,000
9,000
19,000
20,000
50,000
22,000
21,000
5,000
Number of employees
(persons)
2000
1500
3000
500
1000
1000
3200
1800
1600
200
Shopping area (m²)
250,000
350,000
150,000
80,000
160,000
180,000
350,000
60,000
100,000
50,000
Prepare a excel worksheet to calculate the generation model by regression analysis.
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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Similar questions
- The zone production and attraction values were estimated as follows, where the values are unbalanced. Zone A B C D Production Attraction 370 100 250 350 450 260 350 300 The balanced value of # of trips attracted to Zone B equals (Report your answer correct to one digit after the decimal)arrow_forwardA model for non-work related trips has been developed by the Texas Department of Transportation for Wheeler, Texas. The model is based on the number of trips per household: Number of peak-hour vehicle-based social trips per household = 0.04+0.018*(household size) + 0.009*(annual household income in thousands of dollars) + 0.16*(number of nonworking household members) For the northeast section of Wheeler, the average household has six members and an annual income of $50,000. If each household has one working member, how many peak-hour social trips are predicted?arrow_forwardA study area consists of three zones. The data have been determined as shown in the following tables. Zone Productions and Attractions Zone 1 2 3 Total Trip Productions 140 330 280 750 Trip Attractions 300 270 180 750 Travel Time between zones (min) Zone 1 3 1 5 3 2 3 3 5 Travel Time versus Friction Factor Time (min) F 1 82 2 52 3 50 4 41 5 39 6 26 7 20 8 12 Determine the number of trips between each zone using the gravity model. Show all steps in the calculation of friction factors and iterations for balancing attractions and productions. 6.arrow_forward
- Use the singly constraint growth factor model to calculate the projected trips in Cell (1,2) for the following observed trip table and forecast trip ends. Zone 1 0 Zone 2 200 Zone 3 30 O 54 O 36 O Zone 1 Zone 2 Zone 3 O 20 90 20 40 30 40 Forecast Trip Ends 90 90 140arrow_forwardThe present trip ends and travel time matrix between the zones are shown in Tables 6.75 and 6.76, respectively. Travel impendance factor between the zones may be assumed to be e-ti. The socio-economic adjustment factors between the zones may be assumed to one. Calculate the trip interchanges between the zones by using the gravity model. TABLE 6.75 Zones Trips produced Trips attracted 1 2 3 2500 3300 3200 TABLE 6.76 1 2 3 1-15 20 2 15 10 3 20 10 I 3000 4000 2000arrow_forwardA neighborhood has 180 households with the characteristics shown in the table below. A count model for peak-hour work trips is described in the second table. How many trips do you expect from this neighborhood?arrow_forward
- Determine the trip distribution matrix using "Gravity Model" of transport system with given the data: Trip Production of Zones 1, 2 and 3, correspondingly are 500, 600, and 800 tpd Trip Attraction of Zones 1, 2 and 3, correspondingly are 600, 700 and 600 tpdarrow_forwardThe following 3 Travel Demand Forecasting models were created to estimate the number of peak-hour trips in the suburb of Croydon: T1 = 1.0 + 0.3(household size) + 0.01(household income in thousands of $) T2 = 1.5 + 0.2(household size) + 0.01(household income in thousands of $) T3 = 0.5 + 0.5(household size) + 0.01(household income in thousands of $) The suburb has a total of 3500 households with an average of 4 people per household, an average household income of $90,000 and survey data shows that it generates a total of 11,550 trips in the peak-hour. Which of the above models is the most accurate? A. T1 B. T2 C. T3 D. Can't say as 2 or more models are equally accurate.arrow_forwardExample: The figure represents travel times on the link connecting six zonal centroids. Determine the minimum path from each zone to each other zone. Use the all-or-nothing assignment method to determine the total trips for each link after all of the trips from the following two-way trip table have been loaded onto the network. From/To 1 1 0 2 3 4 5 6 3.3 4.3 5 4.8 3 Trips Between Zones 2 1000 0 7.2 2.2 3 1100 1050 0 12.6 6 7.8 5.0 4 400 700 5 1000 1100 1200 1150 0 800 0 5.0 1 8.4 2 6 1300 1200 1600 400 700 0arrow_forward
- A small town has two residential zones, A and B producing 900 and 600 work trips respectively. Zones C, D and E are work opportunity zones attraction 900,400 and 200 trips. The travel times between the zones and actual obsrved trips are as shown in the attachment below;arrow_forwardMultinomial Logit Model - Sample Problem Let the number of trips from zone i to zone j is 5000, and two modes are available which has the characteristics given in below. Compute the trips made by the three modes and the fare required to travel by each mode. coefficient car bus train ti twalk tij Fij 0.03 0.04 0.06 0.1 20 18 30 6 12 5 10 3 2 Pij 0.1 Cij = a₁tij + a₂tij + asti; +astnij + a5 Fij + a60j + darrow_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
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