Compute the average permanence time of packet b in the buf

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Reference no: EM13510281

A router receives packets from two applications. The time between the generation of consecutive
packets of application 1 and application 2 are exponential variables with rate λ1 and λ2, respectively. The service
time of the router is an exponential variable with rate µ.

Assume 1 packet (packet A) is in the buffer (and is being served) at time 0. After tB seconds, a new packet

(packet B) arrives in the buffer. Find E[tB].

Compute the average permanence time of packet B in the buffer (waiting time plus transmission).
Define T as the time when the last bit of the next packet arrived in the buffer is transmitted by the router.

Find E[T].

Reference no: EM13510281

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