Consider distributing a file of F bits to N peers using a client-server architec-ture. Assume a fluid model where the server can simultaneously transmit to multiple peers, transmitting to each peer at different rates, as long as the com-bined rate does not exceed u s .
a. Suppose that u s /N ≤ d min . Specify a distribution scheme that has a distri-bution time of NF/u s.
b. Suppose that u s /N ≥ d min . Specify a distribution scheme that has a distri-bution time of F/ d min.
c. Conclude that the minimum distribution time is in general given by max{NF/u s , F/ d min }.