Consider two TCP senders $T_{1}$, $T_{2}$ each of them is connected with a different line to a router whose capacity is $9000$ $bytes$. The bandwidth of each of these lines is infinite and the delay of each TCP sender to the router is $11$ $milliseconds$. Two TCP receivers $C_{1}$ and $C_{2}$ are connected to the router via a common shared line of $21,000,000$ $bps$. The delay from the router to the receivers is $11$ $milliseconds$.
$T_{1}$ communicates with $C_{1}$ and $T_{2}$ with $C_{2}$.
$T_{1}$has buffer of $9000$ $bytes$ and the application writes data with speed $300 kbps$.
$T_{2}$ has buffer of $17000$ $bytes$ and the application writes data with speed $500 kbps$.
$C_{1}$ has buffer of $66000$ $bytes$ and the application read data speed is infinite.
$C_{2}$ has buffer of $9000$ $bytes$ and the application read data speed is $301 kbps$.
At $time$ $0$ the application of $T_{1}$ begins to send data, and after $130$ $milliseconds$ $T_{2}$ begins to send data
The question
1. After how long a packet loss will occur due to congestion?
and
2. After how long the two senders will send data at the same rate?
useful notes:
-time less than $1$ $millisecond$ is negligible
-packet size is equal $2000$ $bytes$ $=1$ MSS
-solve using packets/RTT
the results may be with float
Is there any formula to use?
What I thought is
2000kbps / 21Mbps + 11msec =..
After the other tcp sender starts to send data the shared common line will be 21Mbps/2
