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Consider a packet switched network the propagation delay is 20 msec per hop and the packet size is 1000 bits and the

data rate is 52 kbps. assuming  all packet follow the same 4 hop path,  then the delay in sending  an 100000 bit  message

is________
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total time = 160 + 99*20 = 160+1980=2140ms

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Total packet = 100000/1000 = 100.

Transmission time for 1 packet in all mode = 

(1000/52 kbps) = 19.23 msec.

so , for 100th packet transmission delay = 19.23 * 100 

.                                                                       = 1923 msec.

now, as it is a 4 hop path, means, 3 switches are there..

So, total transmission delay in all nodes 

19.23 * 3

57.69 msec.

Now, add 4 hop's propagation delay = 4 * 20 = 80 msec.

 

so, total duration = 1923 + 57.69 + 80 = 2060.69 msec 

.                                               

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Formula is,

H = Number of hops, P = number of packets , T = transmission time , S = Propagation time

Transmission time = 1000bit * 1000ms/52000bit = 19.23ms

Delay = ((P-1) + H)*T + H*S = (99+4)*19.23ms + 4*20ms

                                              = 103*19.23ms + 80ms = 1980.76ms+80ms = 2060.76

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