4.4.3 Scenario 3: Large Network - A Steady Flow of a Few Hello/Discover Frames Received During Each Round

Round

Nold

r

Value

Bound

Nnew

Chance of Transmission  Tb / ( Nnew × i )

1*

10000

0

0

1112

1112

0.040 = 4%

2

1112

40

989

124

989

0.045 = 4%

3

989

40

880

110

880

0.051 = 5%

4

880

40

793

98

793

0.057 = 5%

5

783

40

697

87

697

0.064 = 6%

6

697

40

620

78

620

0.072 = 7%

7

620

40

552

69

552

0.081 = 8%

8

552

40

491

62

491

0.091 = 9%

9

491

40

437

55

437

0.102 = 10%

10

437

40

389

49

389

0.115 = 11%

*This round is triggered immediately upon entering the Pausing state when a new session is created and the session table was previously empty.

In this scenario, the steady stream of Hello/Discover frames witnessed by the responder initially lowers the chances of the responder to 4%. However, as each round persists, the chance gets slightly higher, giving the responder a greater chance of sending the Hello and being Acknowledged by the enumerator.