solution

Up to three simultaneous transport connections may be active at a router. Each
transport connections feeds data packets for a time duration all of which can
be approximated to be a fluid flow at a constant bit rate during the time period
of the transport connection. Each transport connection lasts for an average of
1 sec ond and pumps in data at a rate of 1 Mbps for its duration. The average OFF time between successive ON times of each of the three possible connec-
tions is 2 seconds. The three possible connections appear from three different
datalinks and are iid. The router drains data at a constant rate of 2 Mbps, pro-
vided its buffer has data and/or receiving data to be transmitted. Evaluate the
equilibrium statistics of the buffer content.

 
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