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BTS Home
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Journal of Transportation and Statistics
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Volume 9 Number 1
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Paper 5
Figure 5
Excel
|
CSV
|
Graphic Version
(a) Plot of Singular Values for Traffic Flows
Loop series number (a)
Magnitude of singular values
0
1
79442.74
2
12320.86
3
7748.204
4
6817.117
5
5540.862
6
4716.953
7
3919.291
8
3397.838
9
3256.642
10
2977.29
11
2914.472
12
2538.567
13
2447.279
14
2358.797
15
2309.747
16
2232.824
17
2109.478
18
2056.974
19
1971.842
20
1722.047
21
1678.478
22
1557.084
23
1474.94
24
1433.754
25
1408.797
26
1342.153
27
1328.932
28
1278.044
29
1256.229
30
1181.518
31
1157.561
32
1142.65
33
1121.191
34
1113.956
35
1088.085
36
1059.364
37
1042.875
38
1024.634
39
1013.6
40
960.1147
41
944.7723
42
922.0092
43
912.7206
44
896.8745
45
892.286
46
870.8314
47
852.8103
48
840.7379
49
812.3578
50
807.6624
51
795.2051
52
758.5638
53
749.1906
54
746.2953
55
730.7232
56
721.8488
57
707.1547
58
701.7336
59
696.924
60
678.532
61
680.7853
62
648.1777
63
645.4009
64
643.7629
65
639.7305
66
630.8721
67
612.996
68
610.2778
69
596.5994
70
588.8912
71
574.7113
72
561.6852
73
558.8229
74
545.3717
75
533.5893
76
526.9988
77
526.2065
78
514.309
79
511.199
80
498.8909
81
496.3836
82
481.943
83
473.5387
84
476.0542
85
467.2283
86
459.7238
87
446.5666
88
441.764
89
437.1505
90
426.2608
91
425.3937
92
413.4783
93
398.0497
94
390.8227
95
383.7106
96
377.6401
97
372.2737
98
362.7793
99
350.1313
100
347.9223
101
338.9658
102
328.8875
103
314.3647
104
309.1429
105
304.2401
106
294.5285
107
274.2823
108
258.3182
109
251.8729
110
240.4169
111
213.0245
112
208.474
113
97.6565
114
194.777
115
189.0877
116
183.9658
117
175.7166
118
168.4219
119
140.3959
120
146.7325
121
151.2975
122
155.7527
123
32.9814
124
28.0729
125
0.0004
126
0
127
0.0003
128
0.0003
129
0.0003
130
0.0003
131
0.0002
132
0.0002
133
0.0002
134
0.0002
135
0
136
0
137
0
138
0
139
0
140
0
(b) Plot of Singular Values for Normalized Traffic Flows
Loop series number (b)
Magnitude of singular values
0
1
20729.02
2
8909.411
3
6975.909
4
5787.996
5
5284.255
6
4019.494
7
3455.397
8
3357.891
9
3105.076
10
2947.564
11
2606.581
12
2523.49
13
2447.281
14
2343.193
15
2281.702
16
2111.805
17
2056.995
18
2025.494
19
1971.783
20
1720.397
21
1601.564
22
1503.18
23
1456.085
24
1431.99
25
1400.993
26
1341.538
27
1293.288
28
1270.938
29
1214.724
30
1176.479
31
1149.927
32
1128.491
33
1114.077
34
1104.054
35
1071.085
36
1044.783
37
1029.179
38
1014.545
39
989.155
40
958.1417
41
926.818
42
912.7291
43
907.4307
44
892.5302
45
886.7136
46
867.9759
47
848.8979
48
834.5947
49
807.7316
50
795.5096
51
785.9382
52
755.7258
53
746.6984
54
746.2502
55
722.1213
56
716.6988
57
702.7028
58
699.3942
59
687.6507
60
678.6982
61
651.7621
62
645.6656
63
644.6705
64
640.136
65
632.4484
66
625.3667
67
610.765
68
597.2072
69
589.1842
70
585.446
71
562.7137
72
558.8239
73
547.7568
74
542.9495
75
532.6989
76
527.1804
77
519.8269
78
513.4039
79
505.9354
80
498.8014
81
487.2735
82
476.4615
83
474.799
84
472.3143
85
460.4364
86
447.011
87
443.6352
88
438.4449
89
429.6008
90
425.4366
91
413.5876
92
398.4172
93
390.8604
94
384.4738
95
379.8363
96
375.8014
97
366.3428
98
351.4637
99
349.8708
100
340.3724
101
331.6433
102
317.8886
103
309.2007
104
304.7057
105
294.7873
106
274.7745
107
258.4182
108
253.9065
109
240.9429
110
214.1654
111
209.5773
112
204.4926
113
194.8099
114
188.33
115
183.0337
116
175.6898
117
168.7256
118
155.7145
119
151.1342
120
146.4415
121
138.737
122
98.20903
123
35.17688
124
28.6341
125
0.000385
126
0
127
0
128
0
129
0
130
0
131
0
132
0
133
0
134
0
135
0
136
0
137
0
138
0
139
0
140
0