Consider a self-service model in which the customer is also the server. Note that this corresponds to

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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 , and service times have an exponential distribution with parameter .

(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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