NDLI: Tail Asymptotics for a Retrial Queue with Bernoulli Schedule

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Tail Asymptotics for a Retrial Queue with Bernoulli Schedule

Content Provider	MDPI
Author	Liu, Bin Zhao, Yiqiang Q.
Copyright Year	2022
Description	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.
Starting Page	2799
e-ISSN	22277390
DOI	10.3390/math10152799
Journal	Mathematics
Issue Number	15
Volume Number	10
Language	English
Publisher	MDPI
Publisher Date	2022-08-07
Access Restriction	Open
Subject Keyword	Mathematics M/g/1 Retrial Queue Bernoulli Schedule Number of Customers Asymptotic Tail Probability Regularly Varying Distribution
Content Type	Text
Resource Type	Article

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