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Assume the scenario of AIMD where the size of the congestion window of a TCP connection is 40KB when a timeout occurs, the initial threshold is 38 KB. The MSS is 2KB. At which transmission after a timeout the sender window reaches 20 KB?

The given answer is 12, I am not getting the question in this line “At which transmission after a timeout the sender window reaches 20 KB?” we need to count from starting or after timeout?

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Break down the question

Assume the scenario of AIMD where the size of the congestion window of a TCP connection is 40KB when a timeout occurs

Here, when $C_{wind} = 40\ KB$ or $20\ MSS$ then time out occurs.

Initial threshold $= 38\ KB$ or $19\ MSS$

Transmission $C_{wind}$ Threshold
1 1 19
2 2  
3 4  
4 8  
5 16  
6 19  
7 20 Time out occur, so new threshold = $\frac{20}{2} = 10$
8 1 10
9 2  
10 4  
11 8  
12 10  

 

So, total 12 transmission require to reach $C_{wind} = 10\ MSS$ or $20\ KB$

 

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