Consider a simplified TCP’s AIMD algorithm where the congestion window size is measured in number of segments, not in bytes. In additive increase, the congestion window size increases by one segment in each RTT. In multiplicative decrease, the congestion window size decreases by half (if the result is not an integer, round down to the nearest integer). Suppose that two TCP connections, C₁ and C₂, share a single congested link of speed 30 segments per second. Assume that both C₁ and C₂ are in the congestion avoidance phase. Connection C₁’s RTT is 50 msec and connection C₂’s RTT is 100 msec. Assume that when the data rate in the link exceeds the link’s speed, all TCP connections experience data segment loss.

a. If both C₁ and C₂ at time t₀ have a congestion window of 10 segments, what are their congestion window sizes after 1000 msec?

b. In the long run, will these two connections get the same share of the band width of the congested link? Explain.