Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
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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Students have asked these similar questions
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.
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.
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
- 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 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_forward
- A 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_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
- Given 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_forwardA 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_forward4. The 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-tij, 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 2500 3000 2 3300 4000 3 3200 2000 TABLE 6.76 1 2 3 1 15 20 2 15 10 3 20 10arrow_forward
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