Question: Queues in series. Consider a k station queueing network in which arrivals to server i occur at rate i and service at station i occurs

Queues in series. Consider a k station queueing network in which arrivals to server i occur at rate i and service at station i occurs at rate i. In this problem we examine the special case of the feed-forward system in which p.i; i C 1/ D pi for 1 i < k. In words the customer goes to the next station or leaves the system.What conditions on the rates must be satisfied for a stationary distribution to exist?

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