(a) For a M/M/1 service facility with a capacity of two, find 0 , 1...

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(a) For a M/M/1 service facility with a capacity of two, find π0, π1, π2 in two cases: (i) λ = 3, μ= 6 and (ii) λ = 6, μ= 3. Compare the results.

(b) Establish a general pattern; namely, show that if πk is the limiting probability corresponding to the replacement of ρ with 1/ρ, then πk = πa−k.

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