Abstract
We show that, if the input process of a general GI/G/1 queue is a positive recurrent Markov renewal process then the output process, too, is a positive recurrent Markov renewal process (the conservation property). As an application we consider a general tandem queue and prove a total variation limit theorem for the associated waiting and service times.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Statistics and Probability
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