Analysis of Tandem Retrial Queue with Common Orbit and MMPP Incoming Flow
Analysis of Tandem Retrial Queue with Common Orbit and MMPP Incoming Flow
复制标题
共轨串联重试队列与MMPP入流分析
DOI：
10.1007/978-3-031-23207-7_21
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Morozova Mariya
中科院分区：
文献类型：
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作者：
Nazarov Anatoly;Paul Svetlana;Phung-Duc Tuan;Morozova Mariya
本文利用渐近扩散分析的方法，研究了一个具有一个轨道、MMPP进入流和两个串联服务台的串联排队系统。当重试率极小时，我们得到了定态区存在的必要条件和在Scaling区下呼叫数的极限概率分布。然后通过仿真对渐近结果的适用性进行了评估。
In this paper, we consider a tandem queueing system with one orbit, MMPP incoming flow and two sequentially connected servers by the method of asymptotic diffusion analysis. We obtain the necessary condition for the existence of the steady-state regime and the limiting probability distribution of the number of calls there under the scaling regime when the retrial rate is extremely small. Then we evaluate the applicability of the asymptotic results by simulation.