Question: 7.25 Consider a closed network with K 5 3 circulating customers, as shown in Figure 7.26. There is a single exponential server at nodes 1,

7.25 Consider a closed network with K 5 3 circulating customers, as shown in Figure 7.26. There is a single exponential server at nodes 1, 2, and 3 with service rates μ1; μ2, and μ3, respectively. After receiving service at node 1 or node 2, a customer proceeds to node 3. Similarly, after receiving service at node 3, a customer goes to node 1 with probability p, and to node 2 with probability 1 2 p. Find the joint PMF pN1N2N3 ðn1; n2; n3Þ.

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