An M/G/1 retrial G-queue with preemptive resume priority and collisions subject to the server breakdowns and delayed repairs
An M/G/1 retrial G-queue with preemptive resume priority and collisions subject to the server breakdowns and delayed repairs
复制标题
DOI：
10.1007/s12190-013-0688-7
复制
发表时间：
2014-02
影响因子：
2.2
通讯作者：
Yi Peng;Zaiming Liu;Jinbiao Wu
中科院分区：
文献类型：
--
作者：
Yi Peng;Zaiming Liu;Jinbiao Wu
研究了在服务器故障和延迟修理的情况下，具有抢占恢复优先权和碰撞的线性重试策略的M/G/1重试G-排队系统。在忙碌的服务器上的故障由负客户的到达表示，负客户的到达导致正在服务的客户丢失。推导了系统的稳定性条件。利用生成函数技术，得到了服务器状态和轨道上顾客数的稳态分布，并给出了沿着一些有趣而重要的性能指标。研究了随机分解的性质。此外，还讨论了一些特殊的情况。最后给出了数值例子。
We consider an M/G/1 retrial G-queue with preemptive resume priority and collisions under linear retrial policy subject to the server breakdowns and delayed repairs. A breakdown at the busy server is represented by the arrival of a negative customer which causes the customer being in service to be lost. The stability condition of the system is derived. Using generating function technique, the steady-state distributions of the server state and the number of customers in the orbit are obtained along with some interesting and important performance measures. The stochastic decomposition property is investigated. Further, some special cases of interest are discussed. Finally, numerical illustrations are provided.