Question: Consider a single server queue in which customers arrive at rate and are being served by the server at rate with queue of unlimited capacity.

Consider a single server queue in which customers arrive at rate and are being served by the server at rate with queue of unlimited capacity. The size of the system is now modified by introducing a feature so that on completion of service each customer leaves with probability , or rejoins the queue with probability 1 . Find the long term (t ) probabilities for the size of the system assuming < .

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