Question: Consider an M/M/2 model. Derive the following expressions by constructing the rate diagram and solving the balance equations. = /(2) P0 = (1

Consider an M/M/2 model. Derive the following expressions by constructing the rate diagram and solving the balance equations.

ρ = λ/(2μ)

P0 = (1 − ρ)/(1 + ρ)

Pn = 2ρnP0 L = 2ρ/(1 − ρ2)

Lq = 2ρ3/(1 − ρ2) = L − 2ρ

(Hint: Look at the technique used to derive the corresponding results for the M/M/1 queue in Appendix 6A.)

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