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Comparison, Variation in tieline count – Grass Valley NV9000-SE v.5.0 User Manual

Page 468

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450

Tielines

Number of Tieline Paths

(3-hop)
AD = 30 x 30 x 30 / (2 x 5) = 27,000 / 10 = 2700

All Paths
30 + 30 + 30 + 450 + 180 + 2700 = 3420.

Four Connections

(1-hop)
AB = (5 x 2) x 4 = 40
BC = (2 x 5) x 4 = 40
CD = (5 x 2) x 4 = 40

(2-hop)
AC = 40 x 40 / 2 = 1600 / 2 = 800
BD = 40 x 40 / 5 = 1600 / 5 = 320

(3-hop)
AD = 40 x 40 x 40 / (2 x 5) = 64,000 / 10 = 6400

All Paths
40 + 40 + 40 + 800 + 320 + 6400 = 7640.

Comparison

These are the data:

This is the chart for the example, showing the totals for the 4 cases:

Variation in Tieline Count

Thye previous examples used a uniform number of tielines between partitions because it made
the examples easier to understand. When the number of tielines is not uniform, the calculations
are not more difficult.

Connections

1-Hop Paths

2-Hop Paths

3-Hop Paths

Total

1 x 3 = 3

30

70

100

200

2 x 3 = 6

60

280

800

1140

3 x 3 = 9

90

630

2700

3420

4 x 3 = 12

120

1120

6400

7640

3

6

9

12

Tieline Cables

1,000

2000

3,000

4,000

5,000

6,000

7,000

8,000

9.000

10,000

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