Given a small town with three transportation analysis zones and origin-destination survey results, provide a trip distribution calculation using the gravity model for two iterations; assume Kij = 1. The following table shows the number of productions and attractions in each zone. Zone 1 2 3 Total Productions 250 480 270 1,000 Attractions 435 180 385 1,000 The survey's results for the zones' travel time in minutes were as follows. To Zone 1 2 3 1 6 4 2 From 2 2 8 3 3 1 3 5 The following table shows travel time versus friction factor. Time (min) 1 2 3 4 5 6 7 8 Friction Factor 82 52 50 41 39 26 20 13 Compute the trip distribution calculations for the first iteration. Zone-to-Zone Trips: First Iteration To Zone 1 2 3 Computed P Given P 1 From 2 3 Computed A Given A Compute the trip distribution calculations for the second iteration. Zone-to-Zone Trips: Second Iteration To Zone 1 2 3 Computed P Given P 1 From 2 3 Computed A Given A Need Help? Read It Watch It

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter12: Forecasting Travel Demand
Section: Chapter Questions
Problem 11P: Given a table with production and attraction data, determine the number of productions and...
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Given a small town with three transportation analysis zones and origin-destination survey results, provide a trip distribution calculation using the gravity model for two iterations; assume Kij = 1. The following table shows the number of productions and attractions in each zone.
Zone
1
2
3
Total
Productions 250
480
270
1,000
Attractions
435
180
385
1,000
The survey's results for the zones' travel time in minutes were as follows.
To
Zone
1
2
3
1
6
4
2
From
2
2
8
3
3
1
3
5
The following table shows travel time versus friction factor.
Time (min)
1
2
3
4
5
6
7
8
Friction Factor
82
52
50
41
39
26
20
13
Compute the trip distribution calculations for the first iteration.
Zone-to-Zone Trips: First Iteration
To
Zone
1
2
3
Computed P
Given P
1
From
2
3
Computed A
Given A
Compute the trip distribution calculations for the second iteration.
Zone-to-Zone Trips: Second Iteration
To
Zone
1
2
3
Computed P
Given P
1
From
2
3
Computed A
Given A
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Transcribed Image Text:Given a small town with three transportation analysis zones and origin-destination survey results, provide a trip distribution calculation using the gravity model for two iterations; assume Kij = 1. The following table shows the number of productions and attractions in each zone. Zone 1 2 3 Total Productions 250 480 270 1,000 Attractions 435 180 385 1,000 The survey's results for the zones' travel time in minutes were as follows. To Zone 1 2 3 1 6 4 2 From 2 2 8 3 3 1 3 5 The following table shows travel time versus friction factor. Time (min) 1 2 3 4 5 6 7 8 Friction Factor 82 52 50 41 39 26 20 13 Compute the trip distribution calculations for the first iteration. Zone-to-Zone Trips: First Iteration To Zone 1 2 3 Computed P Given P 1 From 2 3 Computed A Given A Compute the trip distribution calculations for the second iteration. Zone-to-Zone Trips: Second Iteration To Zone 1 2 3 Computed P Given P 1 From 2 3 Computed A Given A Need Help? Read It Watch It
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