Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
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Chapter 12, Problem 19P
To determine
The calibration of the friction factors for one iteration.
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Students have asked these similar questions
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.
The Jeffersonville Transportation Study Area has been divided into four large districts (traffic zones). The following data have been collected for those districts. Provide a trip distribution calculation using the gravity model for two Assume Kij = 1.
A Study area with four transportation analysis zones has the following information:
Table 3: Trip productions and attractions for a four-zone study area and travel time between zones.
Travel Time, (t) (min)
Zone
Trip productions
Trip
I
220
2
240
3
330
4
230
attractions
350
270
210
190
Table 4: Travel time versus friction factor.
Time (min)
2
Friction Factor
61
1
78
from zone 1
4
9
10
6
3
47
4
37
from zone 2
5
29
5
6
7
5
6
22
from zone 3
7
17
6
8
7
6
8
14
from zone 4
9
10
8
9
11
7
10
8
Using a gravity model, determine the number of trips from zone to zone through two iterations. (Assume that the
socioeconomic adjustment factor is 1.0).
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
- 2. A four zones city has two residential zones A and B, generating 725 and 575 trips, respectively. These trips go to two employment zones C and D, attracting 875 abd 425 trips respectively. The travel time, friction factors, between zones is given as Route AC AD BC BD Travel Time 8 15 10 13 Friction Factors 90 10 60 50 (a) Estimate the trips generating from A and B respectively (b) The OD survey that was performed for this city indicates that the actual number of trips on each route was as follows, AC=650, AD=75, BC-400 and BD = 175. (c) Determine the new friction factor Fij in order the replicate the actual trip movements.arrow_forwardAn airport runway accommodates 18 arrival flights in an hour and departure flights occur every 2.1429 minutes during normal weather season. During holidays, arrival flights are increase to 24 but on bad weather conditions, departure flights is changed to 2.727 minutes due to a decline in flight departures. Determine the queueing characteristics of the airport during these conditions.arrow_forwardA multiple regression analysis shows the following relationship for the number of trips per household. T = 0.82 + 1.3P + 2.1A Where T = number of trips per household per day P= number of persons per household A= number of autos per household If a particular TAZ contains 250 households with an average of 4 persons and 2 autos for each household, determine the average number of trips per day in that zonearrow_forward
- 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.arrow_forwardA town in Canada has been divided into three traffic zones. An origin-destination survey was conducted earlier this yearand yielded the number of trips between each zone as shown in the table below. Travel times between zones were alsodetermined. Provide a trip distribution calculation using the gravity model for two iterations. Assume Kij= 1.arrow_forwardQ1. Develop statistical model to predict number of trips using regression analysis technique. Number of workers (X) Number of trips(Y) 2 6 4 8 7 10 7 11arrow_forward
- A simple work-mode-choice model is estimated from data in a small urban area to determine the probabilities of individual travelers selecting various modes. The mode choices include automobile drive-alone (DL), automobile shared-ride (SR), and bus (B), and the utility functions are estimated as: UDL = 2.2-0.2(costp)-0.03(travel timepz) USR 0.8 – 0.2(costsR) – 0.03(travel timesR) Us = -0.2(costa)- 0.01(travel time,) where cost is in dollars and time is in minutes. Between a residential area and an industrial complex, 4000 workers (generating vehicle-based trips) depart for work during the peak hour. For all workers, the cost of driving an automobile is $6.00 with a travel time of 20 minutes, and the bus fare is $1.00 with a travel time of 25 minutes. If the shared-ride option always consists of two travelers sharing costs equally, how many workers will take each mode?arrow_forwardI 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.arrow_forwardA zone has been divided into four large districts (traffic zones). The following data has been collected for those districts. Provide a trip distribution calculation (single constrained) using the gravity model. Assume Kij = 1 (Check balancing of Tij = A after the first iteration) District 1 2 3 4 Travel Time Fij Productions 3400 6150 3900 2800 1 2.0 Attractions 2800 6500 2550 4400 4 1.6 6 1.0 1 4 11 15 10 9 10 0.9 0.86 Travel time (min) 2 3 11 15 6 6 6 6 9 11 11 12 0.82 0.80 4 10 9 11 4 15 20 0.68 0.49arrow_forward
- It was estimated that the number of trips between north Davis and the campus during the 8-9 AM peak hour is given by the following trip generation model: Q = 500 + 5.0(class) + 0.05(students) where Q is the total number of trips during the peak hour, class is the number of classes taught between 8-9 AM, and students is the number of students on campus. It was further estimated that there are 80 classes taught on campus between 8-9 AM and the student population is 15,000. Furthermore, these trips were accomplished by three modes: auto, Unitrans, and bicycles, whose shares are determined by the following multinomial logit choice model: Um = βm − 0.50C − 0.02T where C is out-of-pocket cost (dollars) and T is travel time (minutes). Values of βm are: Auto : 4.50 U nitrans : 3.0 Bicycle : 2.50 Suppose that the cost of an auto trip, which takes 8 minutes, is $5.50 (includes parking); Unitrans, which takes 25 minutes, costs $1.00; bicycle trips take 12 minutes and cost $0.50 per trip. (a)…arrow_forwardIt was estimated that the number of trips between north Davis and the campus during the 8-9 AM peak hour is given by the following trip generation model: Q = 500 +5.0(class) +0.05(students) where Q is the total number of trips during the peak hour, class is the number of classes taught between 8-9 AM, and students is the number of students on campus. It was further estimated that there are 80 classes taught on campus between 8-9 AM and the student population is 15,000. Furthermore, these trips were accomplished by three modes: auto, Unitrans, and bicycles, whose shares are determined by the following multinomial logit choice model: Um = Bm 0.50C 0.02T where C is out-of-pocket cost (dollars) and T is travel time (minutes). Values of ẞm are: Auto: 4.50 Unitrans: 3.0 Bicycle: 2.50 Suppose that the cost of an auto trip, which takes 8 minutes, is $5.50 (includes parking); Unitrans, which takes 25 minutes, costs $1.00; bicycle trips take 12 minutes and cost $0.50 per trip. (a) Compute the…arrow_forwardPARKING STUDIES PROB 1. Data collected at a parking lot indicate that a total of 300 cars park between 8 a.m. and 6 p.m. 10% of these cars are parked for an average of 2 hr, 30% for an average of 4 hr, and the remaining cars are parked for an average of 10 hr. Determine the space-hours of demand at the lot PROB 2. If 10% of the parking bays are vacant on average (between 8 a.m. and 6 p.m.) at the parking lot of PROB1, determine the number of parking bays in the parking lot. Assume an efficiency factor of 0.85arrow_forward
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