Tail Asymptotics for a Retrial Queue with Bernoulli Schedule

Abstract

In this paper, we study the asymptotic behavior 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 and unconditional) probability of the number of customers in the (priority) queue, orbit and system, respectively.

arXiv comment18 pages; revised version: 20 pages

References in corpus (4)

• Subexponential tail equivalence of the queue length distributions of BMAP/GI/1 queues with and without retrials
• Refined Tail Asymptotic Properties for the $M^X/G/1$ Retrial Queue
• Asymptotics of Queue Length Distributions in Priority Retrial Queues
• Second Order Asymptotic Properties for the Tail Probability of the Number of Customers in the M/G/1 Retrial Queue

Cited by in corpus (1)

• Tail Asymptotics for the $M_1,M_2/G_1,G_2/1$ Retrial Queue with Priority