Question

In: Computer Science

How long does it take to send a 15 MiB file from Host A to Host...

How long does it take to send a 15 MiB file from Host A to Host B over a circuit-switched network, assuming:
- Total link transmission rate = 49.7 Gbps.
- Network is FDM, with 7 permitted users, each with an equal bandwidth share.
- A link connection requires a setup time of 84.5 ms.

Your answer should be in miliseconds (ms) with one decimal place, and without the unit (e.g. "140.6" without the quotes)

Solutions

Expert Solution

Answer:

Given values are:

File size = 15MiB

Total link transmission rate = 49.7 Gbps

User = 7

Setup time = 84.5 ms

We know that

1 MiB = 2^20 = 1048576 bytes

1 MiB = 2^20*8= 8388608 bits

15MiB= 8388608x15 = 125829120 bits

So,

Total Number of bits = 125829120 bits

Now

Total link transmission rate = 49.7 Gbps

1 Gbps = 1000000000 bps

49.7 Gbps = 49.7 x 1000000000 =49700000000 bps

For FDM network

Transmission rate for one time slot = 49700000000/7 bits per second

Transmission rate for one time slot = 7100000000 bit per second

Transmission rate for one time slot = 49700000000/(10^3*7) in milliseconds

Transmission rate for one time slot in =7100000 bits per millisecond

Now,

Total time taken to transmit 15 MiB of file = Total number of bits/Transmission rate

Total time taken to transmit 15 MiB of file = 125829120/7100000

=17.72

As setup time is also given So,

Total time = Setup time + Transmission Time

Total time = 84.5+ 17.72

Total time = 102.2 milliseconds

Hence 102.2 ms is the time required to send a 15MiB of file from Host A to Host B.

venereology answered 7 months ago

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