Consider a TCP connection between hosts A and B. At some time the advertised win

Question

Consider a TCP connection between hosts A and B. At some time the advertised window size from B to A is 2 MSS. Every packet transmitted from A to B is successful with probability p and is dropped with probability 1 - p whereas the transmission from B to A is error-free. What is the total expected time for A to successfully transmit 2 packets? The time for successful transmission is measured from the moment of the transmission of the first packet until the reception of ACK for the second packet. Assume propagation delay between A and B is given by tau. Ignore transmission delay and processing time at each host. Assume the retransmission timeout value as 4 tau. Also assume that the retransmission is triggered only by timeouts but not duplicate ACKs.

Explanation / Answer

given tt     = tou

retransmisson time out time = 4 tou

2 tp= 4 tou

tp = 2 tou

tt + 2 * tp =  tou + 2* 2 tou

                 = 5 tou

so total time = 5 tou

2 packets to transmit for window size = 2mss

Total expected time to sucessfully transmit 2 packets = 5 / 4 = 1.25 sec

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