Consider two TCP connections $\text{A}$ and $\text{B}:$
The RTT for connection $\text{A}$ is $100$ ms while the RTT for connection $\text{B}$ is $200$ ms. Let $\textsf{ssthresh}$ denote the threshold at which the congestion window size evolution switches over from the Slow Start phase to the Congestion Avoidance phase. Both connections have the $\textsf{ssthresh}$ value of $8.$
At time $\mathrm{T}$ seconds, both connections have just had a timeout, and so their window size is set to $1.$ Calculate how many packets each connection is able to send in the next $1$ second (including at time $\mathrm{T}+1$ seconds). Assume that each packet can be transmitted in $0$ time, and that there are no dropped packets for either connection during the interval $[\text{T}, \text{T}+1]$ seconds.
Which of the following options is TRUE?
- Connection $\text{A}$ will end up sending $55$ more packets than connection $\text{B}$ in interval $[\text{T}, \text{T}+1]$ seconds.
- Connection $\text{B}$ will end up sending $55$ more packets than connection $\text{A}$ in interval $[\text{T}, \text{T}+1]$ seconds.
- Connection $\text{A}$ will end up sending $65$ more packets than connection $\text{B}$ in interval $[\text{T}, \text{T}+1]$ seconds.
- Connection $\text{B}$ will end up sending $65$ more packets than connection $\text{A}$ in interval $[\text{T}, \text{T}+1]$ seconds.
