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Question

M/M/4 queue with arrival rate of λ, and a service rate for each of the four servers of μ.

What is

λk and μk for k = -∞, ...,-1,0,1,...,∞


b. with p=λ/4μ, write the expression for the steady-state probability of the system (queue + server) being in state k, pk, for k = 1,2,...,oo as a function of p0 and p.


c. what is the closed form solution for p0 in terms of p=λ/4μ

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