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Queue with impatient customers. Customers arrive at a single server at rate λ and require an…


Queue with impatient customers. Customers arrive at a single server at rate λ and require an exponential amount of service with rate. Customers waiting in line are impatient and if they are not in service they will leave at rate ı independent of their position in the queue. (a) Show that for any δ > 0 the system has a stationary distribution. (b) Find the stationary distribution in the very special case in which δ = µ.