Analysis of Tandem Retrial Queue with Common Orbit and Poisson Arrival Process
Analysis of Tandem Retrial Queue with Common Orbit and Poisson Arrival Process
复制标题
共轨串联重试队列与泊松到达过程分析
DOI：
10.1007/978-3-030-91825-5_27
复制
发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Morozova Mariya
中科院分区：
文献类型：
--
作者：
Nazarov Anatoly;Paul Svetlana;Phung-Duc Tuan;Morozova Mariya
In this paper, we present a diffusion limit for the time-dependent distribution of the number of customers in the orbit for a tandem queueing system with one orbit, Poisson arrival process of incoming calls and two sequentially connected servers using a characteristic function approach. Under the condition that the mean time of a customer in the orbit tends to infinity, the number of customers in the orbit explodes. Using a proper scaling, we prove that the scaled version of the number of customers in the orbit asymptotically follows a diffusion process. Using the steady-state solution of the diffusion process, we build an approximation for the steady-state distribution of the number of customers in the orbit. We compare this new approximation with the traditional approximation based on the central limit theorem and with simulation. Numerical results show that the new approximation has higher accuracy than that based on the central limit theorem.
在重审和失败的串联队列中
影响因子：
2.7
作者：
G. Falin
通讯作者：
G. Falin