Impacts of Node Connectivity on Reliability of Water Distribution Networks - Pattern Recognition for Reliability Assessment of Water Distribution Networks - page 155

Table 6.15 Connectivity indices calculated by NDT - case three clusters

Epanet n m l Ln NGI NCF1 NCF2 NCF3 NCF avg NCI1 NCI2 NCI3 NSI1 NSI2 NSI3

SN0179 77 79 3 7 0.57 0.97 1.44 1.44 2.05 0.47 0.70 0.70 0.27 0.40 0.40

SN0279 77 79 3 7 0.57 1.05 1.29 1.29 2.05 0.51 0.63 0.63 0.29 0.36 0.36

SN0379 77 79 3 7 0.57 1.03 1.52 1.52 2.05 0.50 0.74 0.74 0.29 0.42 0.42

SN0479 77 79 3 7 0.57 1.64 1.64 1.64 2.05 0.80 0.80 0.80 0.46 0.46 0.46

SN0579 77 79 3 7 0.57 1.13 1.53 1.53 2.05 0.55 0.75 0.75 0.31 0.43 0.43

SN0679 77 79 3 7 0.57 1.08 1.42 1.42 2.05 0.53 0.69 0.69 0.30 0.39 0.39

SN0779 77 79 3 7 0.57 1.13 1.49 1.49 2.05 0.55 0.73 0.73 0.31 0.42 0.42

SN0879 77 79 3 7 0.57 1.29 1.55 1.55 2.05 0.63 0.75 0.75 0.36 0.43 0.43

SN0979 77 79 3 7 0.57 1.09 1.48 1.48 2.05 0.53 0.72 0.72 0.30 0.41 0.41

SN1079 77 79 3 7 0.57 1.70 1.70 1.70 2.05 0.83 0.83 0.83 0.47 0.47 0.47

SN0199 77 99 23 507 0.95 2.17 2.17 2.17 2.57 0.84 0.84 0.84 0.81 0.81 0.81

SN0299 77 99 23 507 0.95 1.73 1.73 1.73 2.57 0.67 0.67 0.67 0.64 0.64 0.64

SN0399 77 99 23 507 0.95 2.05 2.05 2.05 2.57 0.80 0.80 0.80 0.76 0.76 0.76

SN0499 77 99 23 507 0.95 2.01 2.01 2.01 2.57 0.78 0.78 0.78 0.75 0.75 0.75

SN0599 77 99 23 507 0.95 1.77 1.77 1.77 2.57 0.69 0.69 0.69 0.66 0.66 0.66

SN0699 77 99 23 507 0.95 2.03 2.03 2.03 2.57 0.79 0.79 0.79 0.75 0.75 0.75

SN0799 77 99 23 507 0.95 2.06 2.06 2.06 2.57 0.80 0.80 0.80 0.77 0.77 0.77

SN0899 77 99 23 507 0.95 2.17 2.17 2.17 2.57 0.84 0.84 0.84 0.81 0.81 0.81

SN0999 77 99 23 507 0.95 1.90 1.90 1.90 2.57 0.74 0.74 0.74 0.70 0.70 0.70

SN1099 77 99 23 507 0.95 2.01 2.01 2.01 2.57 0.78 0.78 0.78 0.75 0.75 0.75

SN0109 77 109 33 1057 0.97 2.25 2.25 1.70 2.83 0.79 0.79 0.60 0.77 0.77 0.58

SN0209 77 109 33 1057 0.97 1.92 1.92 1.92 2.83 0.68 0.68 0.68 0.66 0.66 0.66

SN0309 77 109 33 1057 0.97 1.70 1.83 1.70 2.83 0.60 0.65 0.60 0.58 0.63 0.58

SN0409 77 109 33 1057 0.97 1.83 1.83 1.83 2.83 0.65 0.65 0.65 0.63 0.63 0.63

SN0509 77 109 33 1057 0.97 2.10 2.18 2.10 2.83 0.74 0.77 0.74 0.72 0.75 0.72

SN0609 77 109 33 1057 0.97 1.99 2.12 1.99 2.83 0.70 0.75 0.70 0.68 0.72 0.68

SN0709 77 109 33 1057 0.97 2.01 2.22 2.01 2.83 0.71 0.78 0.71 0.69 0.76 0.69

SN0809 77 109 33 1057 0.97 1.94 1.94 1.94 2.83 0.68 0.68 0.68 0.66 0.66 0.66

SN0909 77 109 33 1057 0.97 2.12 2.14 2.12 2.83 0.75 0.76 0.75 0.72 0.73 0.72

SN1009 77 109 33 1057 0.97 1.84 1.97 1.84 2.83 0.65 0.70 0.65 0.63 0.68 0.63

3.00

R² = 1

2.50

2.00

NGI
NCFavg
NCF3
N CI3
NSI3

1.50

R² = 1

1.00

0.50

R² = 0.9013

0.00

79 84 89 94 99 104 109

Number of network pipes

Figure 6.18 Correlation between the clusters and connectivity indices calculated by NDT