Example 2 (trip Distribution-average Method)[3765].docx
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Example 2 (Trip Distribution-Average Factor Method) Diagram below show the existing travel pattern for four (4) zones. Distribute the trip using: i.
Average factor method
Future Trip Production:
Present Trip Production
P1 = 50, P2 = 70, P3 = 30, P4 = 35
P1 = 23, P2 = 17, P3 = 20, P4 = 20
Future Trip Attraction:
Present Trip Attraction
A1 = 35, A2 = 60, A3 = 50, A4 = 40
A1 = 20, A2 = 17, A3 = 21, A4 = 22
Solution: Average Factor Method Zone 1 Fp1
= 50/23
Zone 2 Fp2
= 2.1739 Fa1
= 35/20 = 1.7500
= 70/17 = 4.1176
Fa2
= 60/17 = 3.5294
Zone 3 Fp3
= 30/20
Zone 4 Fp4
= 1.5000 Fa3
= 35/20 = 1.7500
= 50/21
Fa4
= 2.3810
= 40/22 = 1.8182
1st iteration Zone
Fpi
Faj
Fij
tij
Tij = tij x (Fi + Fj)/2
1-2
2.1739
3.5294
2.8517
7
20.0
1-3
2.1739
2.3810
2.2775
10
22.8
1-4
2.1739
1.8182
1.9961
6
12.0
2-1
4.1176
1.7500
2.9338
5
14.7
2-3
4.1176
2.3810
3.2493
4
13.0
2-4
4.1176
1.8182
2.9679
8
23.7
3-1
1.5000
1.7500
1.6250
9
14.6
3-2
1.5000
3.5294
2.5147
3
7.5
3-4
1.5000
1.8182
1.6591
8
13.3
4-1
1.7500
1.7500
1.7500
6
10.5
4-2
1.7500
3.5294
2.6397
7
18.5
4-3
1.7500
2.3810
2.0655
7
14.5
New F Zone 1 Fp1
= 50/54.8
Zone 2 Fp2
= 0.9139 Fa1
= 35/39.8
= 1.3616 Fa2
= 0.8795 Zone 3 Fp3
= 30/35.4
= 50/50.3 = 0.9954
= 60/46.0 = 1.3048
Zone 4 Fp4
= 0.8465 Fa3
= 70/51.4
= 35/43.5 = 0.8058
Fa4
= 40/49 = 0.8165
Future Pi
Future Aj
54.8
39.8
51.4
46.0
35.4
50.3
43.5
49.0
2nd iteration Zone
Fpi
Faj
Fij
tij
Tij = tij x (Fi + Fj)/2
1-2
0.9139
1.3048
1.1093
20.0
22.2
1-3
0.9139
0.9954
0.9546
22.8
21.8
1-4
0.9139
0.8165
0.8652
12.0
10.4
2-1
1.3616
0.8795
1.1206
14.7
16.5
2-3
1.3616
0.9954
1.1785
13.0
15.3
2-4
1.3616
0.8165
1.0890
23.7
25.8
3-1
0.8465
0.8795
0.8630
14.6
12.6
3-2
0.8465
1.3048
1.0756
7.5
8.1
3-4
0.8465
0.8165
0.8315
13.3
11.1
4-1
0.8058
0.8795
0.8427
10.5
8.8
4-2
0.8058
1.3048
1.0553
18.5
19.5
4-3
0.8058
0.9954
0.9006
14.5
13.1
New F Zone 1 Fp1
= 50/54.4
Zone 2 Fp2
= 0.9191 Fa1
= 35/37.9
= 1.2152 Fa2
= 0.9235 Zone 3 Fp3
= 30/31.8
= 50/50.2 = 0.9960
= 60/49.8 = 1.2048
Zone 4 Fp4
= 0.9434 Fa3
= 70/57.6
= 35/41.4 = 0.8454
Fa4
= 40/47.3 = 0.8457
Future Pi
Future Aj
54.4
37.9
57.6
49.8
31.8
50.2
41.4
47.3
3rd iteration Zone
Fpi
Faj
Fij
tij
Tij = tij x (Fi + Fj)/2
1-2
0.9191
1.2048
1.0620
22.2
23.6
1-3
0.9191
0.9960
0.9576
21.8
20.9
1-4
0.9191
0.8457
0.8824
10.4
9.2
2-1
1.2152
0.9235
1.0694
16.5
17.6
2-3
1.2152
0.9960
1.1056
15.3
16.9
2-4
1.2152
0.8457
1.0305
25.8
26.6
3-1
0.9434
0.9235
0.9335
12.6
11.8
3-2
0.9434
1.2048
1.0741
8.1
8.7
3-4
0.9434
0.8457
0.8946
11.1
9.9
4-1
0.8454
0.9235
0.8845
8.8
7.8
4-2
0.8454
1.2048
1.0251
19.5
20.0
4-3
0.8454
0.9960
0.9207
13.1
12.1
Future Pi
Future Aj
53.7
37.2
61.1
52.3
30.4
49.9
39.9
45.7
Average factor method
Future Trip Production:
Present Trip Production
P1 = 50, P2 = 70, P3 = 30, P4 = 35
P1 = 23, P2 = 17, P3 = 20, P4 = 20
Future Trip Attraction:
Present Trip Attraction
A1 = 35, A2 = 60, A3 = 50, A4 = 40
A1 = 20, A2 = 17, A3 = 21, A4 = 22
Solution: Average Factor Method Zone 1 Fp1
= 50/23
Zone 2 Fp2
= 2.1739 Fa1
= 35/20 = 1.7500
= 70/17 = 4.1176
Fa2
= 60/17 = 3.5294
Zone 3 Fp3
= 30/20
Zone 4 Fp4
= 1.5000 Fa3
= 35/20 = 1.7500
= 50/21
Fa4
= 2.3810
= 40/22 = 1.8182
1st iteration Zone
Fpi
Faj
Fij
tij
Tij = tij x (Fi + Fj)/2
1-2
2.1739
3.5294
2.8517
7
20.0
1-3
2.1739
2.3810
2.2775
10
22.8
1-4
2.1739
1.8182
1.9961
6
12.0
2-1
4.1176
1.7500
2.9338
5
14.7
2-3
4.1176
2.3810
3.2493
4
13.0
2-4
4.1176
1.8182
2.9679
8
23.7
3-1
1.5000
1.7500
1.6250
9
14.6
3-2
1.5000
3.5294
2.5147
3
7.5
3-4
1.5000
1.8182
1.6591
8
13.3
4-1
1.7500
1.7500
1.7500
6
10.5
4-2
1.7500
3.5294
2.6397
7
18.5
4-3
1.7500
2.3810
2.0655
7
14.5
New F Zone 1 Fp1
= 50/54.8
Zone 2 Fp2
= 0.9139 Fa1
= 35/39.8
= 1.3616 Fa2
= 0.8795 Zone 3 Fp3
= 30/35.4
= 50/50.3 = 0.9954
= 60/46.0 = 1.3048
Zone 4 Fp4
= 0.8465 Fa3
= 70/51.4
= 35/43.5 = 0.8058
Fa4
= 40/49 = 0.8165
Future Pi
Future Aj
54.8
39.8
51.4
46.0
35.4
50.3
43.5
49.0
2nd iteration Zone
Fpi
Faj
Fij
tij
Tij = tij x (Fi + Fj)/2
1-2
0.9139
1.3048
1.1093
20.0
22.2
1-3
0.9139
0.9954
0.9546
22.8
21.8
1-4
0.9139
0.8165
0.8652
12.0
10.4
2-1
1.3616
0.8795
1.1206
14.7
16.5
2-3
1.3616
0.9954
1.1785
13.0
15.3
2-4
1.3616
0.8165
1.0890
23.7
25.8
3-1
0.8465
0.8795
0.8630
14.6
12.6
3-2
0.8465
1.3048
1.0756
7.5
8.1
3-4
0.8465
0.8165
0.8315
13.3
11.1
4-1
0.8058
0.8795
0.8427
10.5
8.8
4-2
0.8058
1.3048
1.0553
18.5
19.5
4-3
0.8058
0.9954
0.9006
14.5
13.1
New F Zone 1 Fp1
= 50/54.4
Zone 2 Fp2
= 0.9191 Fa1
= 35/37.9
= 1.2152 Fa2
= 0.9235 Zone 3 Fp3
= 30/31.8
= 50/50.2 = 0.9960
= 60/49.8 = 1.2048
Zone 4 Fp4
= 0.9434 Fa3
= 70/57.6
= 35/41.4 = 0.8454
Fa4
= 40/47.3 = 0.8457
Future Pi
Future Aj
54.4
37.9
57.6
49.8
31.8
50.2
41.4
47.3
3rd iteration Zone
Fpi
Faj
Fij
tij
Tij = tij x (Fi + Fj)/2
1-2
0.9191
1.2048
1.0620
22.2
23.6
1-3
0.9191
0.9960
0.9576
21.8
20.9
1-4
0.9191
0.8457
0.8824
10.4
9.2
2-1
1.2152
0.9235
1.0694
16.5
17.6
2-3
1.2152
0.9960
1.1056
15.3
16.9
2-4
1.2152
0.8457
1.0305
25.8
26.6
3-1
0.9434
0.9235
0.9335
12.6
11.8
3-2
0.9434
1.2048
1.0741
8.1
8.7
3-4
0.9434
0.8457
0.8946
11.1
9.9
4-1
0.8454
0.9235
0.8845
8.8
7.8
4-2
0.8454
1.2048
1.0251
19.5
20.0
4-3
0.8454
0.9960
0.9207
13.1
12.1
Future Pi
Future Aj
53.7
37.2
61.1
52.3
30.4
49.9
39.9
45.7
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