Answer the following questions for a router where the arrival times and service

Question

Answer the following questions for a router where the arrival times and service
times follow Poisson distributions. The average arrival rate is 2000 packets per second.
a) How many packets do we expect to be stored in the router if the average service rate is
3000 packets per second?
b) What average service rate do we need if we want a packet to be in the queue (not the
whole system) for an average of 1 millisecond?
c) What is the smallest average service rate that can still allow the router%u2019s queue to be in
equilibrium, assuming that the router has infinite memory? Why?

Explanation / Answer

a)1500 b)4000

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