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Unformatted text preview: rate λ . Suppose that whether or not a newly arriving customer joins the queue is determined randomly, according to the following scheme: Pr[New customer joins queue  n customers already in system] = 1 n + 1 . Hence, a new customer will not join the system with probability n n +1 . If the pump service time is exponential with rate μ , show that the limiting distribution of the number of customers at the gas station is Poisson distributed with rate λ μ ....
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This note was uploaded on 10/29/2011 for the course ORIE 3510 taught by Professor Resnik during the Spring '09 term at Cornell.
 Spring '09
 RESNIK

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