Customers arrive at a single-server queue in accordance with a Poisson process having rate ?.

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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 ?/?. Sep 15 2014 06:32 AM

 

Solution ID:609090 | This paper was updated on 26-Nov-2015

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