Consider a structure consisting of two mm1 qss working in, Other Engineering

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Consider a structure consisting of two mm1 qss working in

Question: Consider a structure consisting of two M/M/1 QSs working in parallel, with service ratesµ₁ andµ₂, respectively. The overall arrival rate is Poisson with parameter λ. Each arriving customer, independently of the others, is dispatched to QS one with probability p₁ and to Q_S two with probability p₂ = 1 - p₁:

a) What is the stability condition for the whole structure?

b) Find p₁ such that the mean time a customer remains in the structure is minimized.

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Other Engineering: Consider a structure consisting of two mm1 qss working in

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