IEEE Circuits and Systems Magazine - Q4 2019 - 49
The weighted node degree and the average weighted
node degree are defined similar to (3)-(5), where aij is
multiplied by wij, the edge weight (to be discussed in
Section IV-J). Furthermore, Tables IV to VI tabulate the
empirical values of average node degree under various
spaces of representation. From Table IV, we observe that
the average node degree in L-space analysis is nearly
equal to two (in general) indicating that a stop is merely
connected to its neighboring stops. On the other hand,
the values shown in Table V indicate that the average
node degree in the P-space analysis is roughly 10 times
higher than that in the L-space which denotes the average number of nodes that can be reached from a certain
node with or without making a transfer. Appendix C lists
the various interpretations of the node degree under different spaces of network representation. The key point
is that significant features like connectivity of a node in
the L-space representation, route overlapping pattern in
the C-space representation, and the number of transfers
to be made in the P-space representation can be more
Table IV.
Empirical values of various network parameters in L-space representation.
Gk H
CD
Gd H
r
References
Bus Transport Network
2.48-3.03
0.055-0.161
6.83-21.52
+ve
[16]
2.88-4.59
0.09-0.15
7.13-12.56
+ve
[20]
2.1-2.4
0.0004-0.0129
28.1-50.9
*
[15]
1.18-3.59
*
6.4-52
+ve
[17]
3.13
0.142
20.03
+ ve
[18]
2.25-2.50
0.06-0.08
21.09-43.02
*
[10]
*
*
10.8-14.5
*
[12]
3.67-24.58
0.07-0.26
3.87-25.69
+ve, -ve
[11]
2.65-2.92
*
*
+ve
[19]
2.65-2.92
0.05-0.09
13.82-20.9
*
[21]
1.91-3.77
0.074-0.213
9.9-102
*
[13]
*
*
10.74-15.60
*
[32]
2-2.45
0-0.077
10-16
*
[29]
2.2
0.0018
*
*
[31]
*
0.390-0.710
*
*
[34]
2-2.4
*
6.7-19.9
*
[36]
*
*
10.13-15.02
*
[32]
Metro Transport Tetwork
Table V.
Empirical values of various network parameters in P-space representation.
Gk H
CD
Gd H
r
References
Bus Transport Network
33.13-90.93
0.682-0.847
1.71-2.90
+ve, -ve
[16]
41.06-94.19
0.73-0.78
2.54-2.66
+ve, -ve
[20]
24.6-102.3
0.6829-0.9095
2.3-3.7
*
[15]
4-11
*
2.2-4.7
+ve, -ve
[17]
44.60-122.89
0.716-0.819
2.84-3.45
+ve, -ve
[24]
35.84-60.24
0.57-0.68
3.15-3.46
*
[10]
44.40-92.54
0.69-0.81
2.42-3.45
*
[25]
44.46-134.65
0.73-0.78
2.53-2.89
*
[23]
FOURTH QUARTER 2019
IEEE CIRCUITS AND SYSTEMS MAGAZINE
49
IEEE Circuits and Systems Magazine - Q4 2019
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