Consider distributing a file of F bits to N peers using a P2P architecture.
Assume a fluid model. For simplicity assume that dmin is very large, so that
peer download bandwidth is never a bottleneck.
a. Suppose that us … (us + u1 + . . . + uN)/N. Specify a distribution
scheme that has a distribution time of F/us
.
b. Suppose that us Ú (us + u1 + . . . + uN)/N. Specify a distribution
scheme that has a distribution time of NF/(us + u1 + . . . + uN).
c. Conclude that the minimum distribution time is in general given by
max5F/us
, NF/(us + u1 + . . . + uN)6.
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