A router is busy processing data packets for 80 of the time


Question: 1. A router is busy processing data packets for 80% of the time. On average mq = 3.2 packets are waiting for service. Find the mean waiting time mw of a packet given that the mean processing time is my = 1 s.

2. Consider an M/M/1 QS with arrival rate λ = 10 customers per second and mean number of customers in the system mx = 5. Find the following quantities.

a) The mean service rate µ.

b) The mean system time ms.

c) The probability that a customer spends in the QS more than 2my in the QS.

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