Consider sending a large file of F bits from Host A to Host B. There are four li

Question

Consider sending a large file of F bits from Host A to Host B. There are four links (and three switches) between
A and B, and the links are not congested (that is, no queueing delays). Host A segments the file into segments
of S bits each and adds 20 bits of header to each segment, forming packets of L = 20 + S bits. Each link has a
transmission rate of R bps. Find the value of S that minimizes the delay of moving the file from Host A to Host
B. Neglect propagation delay. (10 pts)

Explanation / Answer

(F/S +1)*(S+40)/R = (F+40)/R +(40F/RS + S/R) >= (F+40)/R +2sqrt(40F/R^2) for minimum delay it must be equal therefore 40F/RS = S/R S=6.324sqrt(F)

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