Queueing models with dffferent classes of customers are considered which have the property that when the arrival process for each class of customers is Poisson then the departure process for each class of customers is Poisson. A sufficient but very general condition for a queueing system to have this property is given and illustrated with examples. Several of these examples are models which were not previously known to have a Poisson departure process. Networks of queues models in which each component queue satisfies the above condition are shown to have very simple solutions for their equilibrium state probabilities.
By: Richard R. Muntz
Published in: RC4145 in 1972
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