Question: Recall that the congestion window length changes with time as follows during TCP Reno's congestion avoidance phase: If an ACK is received, then increase cwnd

Recall that the congestion window length changes with time as follows

Recall that the congestion window length changes with time as follows during TCP Reno's congestion avoidance phase: If an ACK is received, then increase cwnd by 1/cwnd. If congestion is detected, then decrease cwnd by cwnd/2. Suppose the probability of failed transmission is p: the probability of a successful transmission is then 1 - p. The transmission rate x = cwnd/RTT. (a) Write down the equation for the expected change of cwnd per time step. (b) At equilibrium, the expected change is 0. Using (a), show that x_r = 1/RTT squareroot 2(1 - p)/p. Recall that the congestion window length changes with time as follows during TCP Reno's congestion avoidance phase: If an ACK is received, then increase cwnd by 1/cwnd. If congestion is detected, then decrease cwnd by cwnd/2. Suppose the probability of failed transmission is p: the probability of a successful transmission is then 1 - p. The transmission rate x = cwnd/RTT. (a) Write down the equation for the expected change of cwnd per time step. (b) At equilibrium, the expected change is 0. Using (a), show that x_r = 1/RTT squareroot 2(1 - p)/p

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