Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
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Chapter 12, Problem 18P
To determine
The calibration of the friction factors for one iteration.
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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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- A 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 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_forwardDetermine 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_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_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_forward
- Thank youuu please provide a detailed solution.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_forward8.18 Two routes connect an origin and a destination. Routes 1 and 2 have performance functions t₁ = 2 + x₁ and t₂ = 1 + x2, where the 's are in minutes and the x's are in thousands of vehicles per hour. The travel times on the routes are known to be in user equilibrium. If an observation for route 1 finds that the gaps between 30% of the vehicles are less than 6 seconds, estimate the volume and average travel times for the two routes. (Hint: Assume a Poisson distribution of vehicle arrivals, as discussed in Chapter 5.)arrow_forward
- 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_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_forward2arrow_forward
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