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Consider a Self-Service Model in Which the Customer Is Also λ\lambda

question 1

Essay

Consider a self-service model in which the customer is also the server.Note that this corresponds to having an infinite number of servers available.Customers arrive according to a Poisson process with parameter λ\lambda ,and service times have an exponential distribution with parameter μ\mu .
(a)Find Lq and Wq.
(b)Construct the rate diagram for this queueing system.
(c)Use the balance equations to find the expression for Pn in terms of P0.
(d)Find P0.
(e)Find L and W.


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