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Here is the question. Suppose one bit stream arrives at a buffer. The rate of the bit stream is a periodic function of time with
Here is the question. Suppose one bit stream arrives at a buffer. The rate of the bit stream is a periodic
function of time with period T second. During T the rate is equal to Mbps and during T
T it is equal to zero. A transmitter with rate R bps serves the buffer by sending the bits whenever
available.
a Draw a diagram that shows the occupancy of the buffer as a function of time, for different ranges
of values for R
b What is the minimum value R of R so that this occupancy does not keep growing?
c For R R express the average delay DR per bit as a function of R
d For R R express the average buffer occupancy over time LR as a function of R
e Show that LR DR where Mbps is the average arrival rate of the bits. This is an
example of the Littles Formula
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