Stationary Characteristics of an Unreliable Multi-Server Queueing System with Losses and Time Redundancy

被引：2
|
作者：
Peschansky, A. I. [1 ]
机构：
[1] Sevastopol State Univ, Sevastopol, Russia
来源：
AUTOMATION AND REMOTE CONTROL | 2019年 / 80卷 / 04期
基金：
俄罗斯基础研究基金会;
关键词：
multi-server queueing system; time redundancy; semi-Markov process; stationary distribution of embeddedMarkov chain; stationary probability of system states; mean stationary sojourn time;
D O I：
10.1134/S0005117919040040
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper considers an unreliable restorable multi-server queueing system with losses in which failures may occur during requests service; in case of such failures, requests are served using a random time redundancy. The incoming flow is assumed to be elementary and all other random variables in the system's description are assumed to obey a generalform distribution. A semi-Markov model of system's evolution over time is developed and a stationary distribution of the embedded Markov chain is found. Explicit-form expressions for determining the stationary probabilities and mean stationary sojourn times in different physical states of the system are obtained, which can be used to estimate the time redundancy effect for the stationary characteristics of the system.
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页码：648 / 665
页数：18
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