Assume a TCP sender is continuously sending 1162-byte segment. If a TCP receiver advertises a window size of 7873 bytes, and with a link transmission rate 23 Mbps an end-to-end propagation delay of 32 ms, what is the utilization? Assume no errors, no processing or queueing delay, and ACKs transmit instantly. Also assume the sender will not transmit a non-full segment. Give answer in percentages

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Debel

Answer & Explanation:

Given:

Propagation delay = [tex]32ms[/tex]

Segment size = [tex]1162bytes[/tex]

Link transmission rate = [tex]23Mbps[/tex]

Round trip time = [tex]2\times[/tex]Propagation delay = [tex]2\times32ms = 64ms[/tex]

Calculating the total segment: [tex]total\:segment = \frac{Receiver\:window \:size}{sender\:segment}=\frac{7873}{1162}=6.7753\approx 6 [/tex]

[tex]through put = \frac{segment}{Round-trip\:time}=\frac{1162byte}{64ms}=\frac{1162\times8bits}{64\times{10^{-3}}s}=145.25\times{10^{3}}bps [/tex]

[tex]utilization=\frac{throughout}{bandwidth}=\frac{145.25\times 10^{3}bps}{23Mbps}=\frac{145.25\times 10^{3}bps}{23\times 10^{6} bps}=6.315\times 10^{3-6}=6.315\times 10^{-3}=0.0063[/tex]

Utilization in percentage is 0.63%

Over all Utilization = [tex]6\times 0.63\%=3.78\%[/tex]

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