Question

In: Statistics and Probability

Given a file of size 274 Mbits, a server holding the file with upload capacity 8...

Given a file of size 274 Mbits, a server holding the file with upload capacity 8 Mbps, 3 users wanting the file with upload capacities of 3, 3, and 4, and download capacities of 20, 27, and 17 (all in Mbps).

What is the minimum file distribution time (in sec) under peer-to-peer architecture? (answer to the 1st decimal places)

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Expert Solution

ANSWER:;

File Size = 274 Mbits

Server upload rate u = 8 Mbps

In peer to peer file sharing, when any peer receives file, he/she can also distribute the file to other peers using its own upload speed.

Minimum file distribution will take minimum time as maximum of

Initially server only has the file so server must send full file at least once to all links.

= 274/8 = 34.3 sec

Peer with minimum download rate will take maximum time in getting the file.

= 274/17 =16.1 sec

total upload capacity of the system means transferring file to all N peers using total upload capacity of server and all peers

= 3* 274/17 = 48.3 sec

So minimum time taken for distribution = 48.3 seconds.

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orchestra answered 1 year ago
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