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Question: Consider a single serve queue with exponential service time with parameter µ and Poisson arrivals with rate λ. New customers are sensitive to the length of the queue in the sense that a newly arriving customer that finds i other customers in the system will join the queue with probability pi = (i + 1)^-1, whereas with probability 1 - pi it departs and does not return. Find the stationary probability distribution of this QS.

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Category:- Statistics and Probability
Reference No.:- M92759627

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