Assume you have the following open network like in the figure below. The externa

Question

Assume you have the following open network like in the figure below. The external arrivals r1 and r2 are equal to 2 and 3 packets per second, respectively. All service times for the queues are exponential with rates = 12 packets per second.

a) Determine the joint distribution of packets in the network: P(n1,n2,n3). What

theorem you will need to use to determine this joint distribution?

b) Determine the average number of packets in the network.

c) Determine the average end-to-end delay for the packets in the network.

Explanation / Answer

a.p(n1,n2)=p(n1|n2)/p(n1)

=0.2*0.3/0.2

=0.3

The Bayesian theorem is used to determine the joint distribution

b.total number of packets / time

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