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.