Single-server queue in accordance with poisson process

Reference no: EM13300777

Customers arrive at a single-server queue in accordance with a Poisson process having rate ?. However, an arrival that finds n customers already in the system will only join the system with probability 1/(n+1). That is, with probability n/(n+1) such an arrival will not join the system. Show that the limiting distribution of the number of customers in the system is Poisson with mean ?/?.

Reference no: EM13300777

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