Tail Asymptotics for a Retrial Queue with Bernoulli Schedule

2018/04/03 by Bin Liu, Liu, Bin, Yiqiang Q. Zhao +1
Business, Management and Accounting · Decision Sciences · #60G50 #60K25 #90B22 #Advanced Queuing Theory Analysis #FOS: Mathematics #Probability (math.PR) #Probability and Risk Models #Simulation Techniques and Applications

paper · pdf · doi:10.48550/arxiv.1804.00984

openalex publication_date 2018/04/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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