Traffic and Highway Engineering - With Mindtap
5th Edition
ISBN: 9781305360990
Author: Garber
Publisher: CENGAGE L
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Chapter 12, Problem 19P
To determine
The calibration of the friction factors for one iteration.
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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.
A 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 zone
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.
Chapter 12 Solutions
Traffic and Highway Engineering - With Mindtap
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 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_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_forwardA work-mode-choice model is developed from data acquired in the field in order 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). The utility functions are estimated as: UDL = 2.6 – 0.3(costDL) – 0.02(travel time DL) USR = 0.7 – 0.3(costSR) – 0.04(travel time SR) UB = –0.3(costB) – 0.01(travel time B) where cost is in dollars and time is in minutes. The cost of driving an automobile is $5.50 with a travel time of 21 minutes, while the bus fare is $1.25 with a travel time of 27 minutes. How many people will use the shared-ride mode from a community of 4500 workers, assuming the shared-ride option always consists of three individuals sharing costs equally?arrow_forward
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