Grass Valley NV9000-SE v.5.0 - Manual (Page 467)

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NV9000-SE Utilities
User’s Guide
Variation with the Number of Connections
Consider the 4-partition system from above. There are 4 partitions, A, B, C, and D. We vary the
number of connections between partitions from 1 to 4 and N = N
AB
= N
BC
= N
CD
(because it is
easy):
One Connection
(1-hop)
AB = 5 x 2 x 1 = 10
BC = 2 x 5 x 1 = 10
CD = 5 x 2 x 1 = 10
(2-hop)
AC = 10 x 10 / 2 = 50
BD = 10 x 10 / 5 = 20
(3-hop)
AD = 10 x 10 x 10 / (d
B
x d
C
) = 100
AD = 10 x 10 x 10 / (2 x 5) = 100
All Paths
10 + 10 + 10 + 50 + 20 + 100 = 200.
[This result was seen earlier]
Two Connections
(1-hop)
AB = (5 x 2) x 2 = 20
BC = (2 x 5) x 2 = 20
CD = (5 x 2) x 2 = 20
(2-hop)
AC = 20 x 20 / 2 = 400 / 2 = 200
BD = 20 x 20 / 5 = 400 / 5 = 80
(3-hop)
AD = 20 x 20 x 20 / (2 x 5) = 8000 / 10 = 800
All Paths
20 + 20 + 20 + 200 + 80 + 800 = 1140.
Three Connections
(1-hop)
AB = (5 x 2) x 3 = 30
BC = (2 x 5) x 3 = 30
CD = (5 x 2) x 3 = 30
(2-hop)
AC = 30 x 30 / 2 = 900 / 2 = 450
BD = 30 x 30 / 5 = 900 / 5 = 180
A
(HD)
d = 5
C
(HD)
d = 5
B
(SD)
d = 2
D
(SD)
d = 2