Question: 5.1. Consider the three server network pictured here: In the long run, what fraction of time is server #2 idle while, simultaneously, server #3 is

5.1. Consider the three server network pictured here:

P21 = .2 P12= .6 Server #2 = M23, n 1 Departs

In the long run, what fraction of time is server #2 idle while, simultaneously, server #3 is busy? Assume that all service times are exponentially distributed.

P21 = .2 P12= .6 Server #2 = M23, n 1 Departs with probability .8 Arrivals Server #1 Poisson, rate = 2 HI=6, n1 P13= .4 Server #3 3 = 2, n 1

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