For the network-of-queues with probabilistic routing


Maximum Outside Arrival Rate

For the network-of-queues with probabilistic routing given in Figure 2.3, suppose that each server serves at an average rate of 10 jobs/sec; that is, ui=10 for all i. Suppose that r2=1 and r3=0. Suppose that p12=p2,out=.8, p23 = p13=.2, p1,out =0, and p31 =1. What is the maxiumum allowable value of r1 to keep this system stable?

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Basic Computer Science: For the network-of-queues with probabilistic routing
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