An M[X]/G/1 retrial g-queue with single vacation subject to the server breakdown and repair
An M[X]/G/1 retrial g-queue with single vacation subject to the server breakdown and repair
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DOI：
10.1007/s10255-013-0237-z
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发表时间：
2013-11
期刊：
影响因子：
--
通讯作者：
Shu-ping Yang;Jinbiao Wu;Zaiming Liu
中科院分区：
文献类型：
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作者：
Shu-ping Yang;Jinbiao Wu;Zaiming Liu
研究了一个单重休假的不可靠服务台M[X]/G/1重试G-排队系统.正顾客的到达形成一个复合泊松过程，如果正顾客到达时服务器空闲，则正顾客立即得到服务;否则，经过一段随机时间间隔后，正顾客可能进入重试轨道，碰碰运气。负顾客的到达是一个泊松过程。负客户不仅会使客户退出服务，而且会使服务器处于维修状态。一旦系统清空，服务器就会离开去度假。本文分析了这一模型的能量条件。应用补充变量法，我们得到了系统的稳定状态解，同时给出了系统的可靠度量。
An M[X]/G/1 retrial G-queue with single vacation and unreliable server is investigated in this paper. Arrivals of positive customers form a compound Poisson process, and positive customers receive service immediately if the server is free upon their arrivals; Otherwise, they may enter a retrial orbit and try their luck after a random time interval. The arrivals of negative customers form a Poisson process. Negative customers not only remove the customer being in service, but also make the server under repair. The server leaves for a single vacation as soon as the system empties. In this paper, we analyze the ergodical condition of this model. By applying the supplementary variables method, we obtain the steady-state solutions for both queueing measures and reliability quantities.