Question: 2 . 1 Maximum Outside Arrival Rate For the network - of - queues with probabilistic routing given in Figure 2 . 3 , sup

2.1 Maximum Outside Arrival Rate For the network-of-queues with probabilistic routing given in Figure 2.3, sup- posethateachserverservesatanaveragerateof10jobs/sec;thatis,\mu i =10,i. Suppose that r2= r3=1. Suppose that p12= p2,out =0.8, p23= p13=0.2, p1,out =0, and p31=1. What is the maximum allowable value of r1 to keep this system stable?

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