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(Solved Homework): Suppose there are exactly two routers between a sending host and a receiving host. As shown below, the tra…
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N number of packets are there
So, rate of transfer for each packet is L/t….(t is time required for each packet)
There for queuing delay for packet is q1 = L/R, q2 =L/R*2, q3 =L/R*3,…………qN =L/R*(N-1)………(1)
( N-1 because there no queuing delay for first packet).
Average queuing delay is given by (q1 + q2+ q3…… qN+)/N
Put the values from equation …(1)
(L/R+ L/R*2+ L/R*3……..+ qN =L/R*(N-1))/N
Average queuing delay at router 1 for N packet is (L/R+ L/R*2+ L/R*3……..+ qN =L/R*(N-1))/N
Transmission rate for each link is same that is R
Number of packet and its size is also same that is N and L
So , Average queuing delay at router 2 for N packet is (L/R+ L/R*2+ L/R*3……..+ qN =L/R*(N-1))/N