Abstract
In this paper, we study the asymptotic behaviour of the tail probability of the number of customers in the steady-state M/G/1 retrial queue with Bernoulli schedule, under the assumption that the service time distribution has a regularly varying tail. Detailed tail asymptotic properties are obtained for the conditional probability of the number of customers in the (priority) queue and orbit, respectively, in terms of the recently proposed exhaustive stochastic decomposition approach. Numerical examples are presented to show the impacts of system parameters on the tail asymptotic probabilities.
Funder
National Natural Science Foundation of China
Natural Science Foundation of the Anhui Higher Education Institutions of China
Natural Sciences and Engineering Research Council
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
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