| 空竭服务多级适应性休假GeomX/G(Geom/G)/1可修排队系统分析 |
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| 引用本文： | 胥秀珍,朱翼隽.空竭服务多级适应性休假GeomX/G(Geom/G)/1可修排队系统分析[J].运筹与管理,2005,14(1):8-12. |
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| 作者姓名： | 胥秀珍 朱翼隽 |
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| 作者单位： | 江苏大学,理学院,江苏,镇江,212013 |
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| 基金项目： | 江苏省自然科学基金资助项目(BK97047)，江苏省教育厅基金资助项目(00KJT110003) |
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| 摘 要： | 本文先将空竭服务多级适应性休假Geom^x／G(Geom／G)／1可修排队系统转化为一个等价的Geom^x／G／1排队系统，再利用嵌入马尔可夫链方法，得到了稳态状态下顾客离去时刻系统队长的母函数。此外，对系统的一个忙循环进行分析，使用Wald定理和离散时间更新报酬定理得到系统的稳态可用度。
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| 关 键 词： | 运筹学 队长 马尔可夫链 稳态可用度 多级适应性休假 |
| 文章编号： | 1007-3221(2005)01-0008-05 |
Analysis of the GeomX/G(Geom/G)/1 Repairable Queue with Exhaustive Service Discipline and Adaptive Multistage Vacations |
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| XU Xiu-zhen,ZHU Yi-jun.Analysis of the GeomX/G(Geom/G)/1 Repairable Queue with Exhaustive Service Discipline and Adaptive Multistage Vacations[J].Operations Research and Management Science,2005,14(1):8-12. |
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| Authors: | XU Xiu-zhen ZHU Yi-jun |
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| Abstract: | In this paper, first we transform the Geom~X/G(Geom/G)/1 repairable queue with exhaustive service discipline and adaptive multistage vacations into the Geom~X//1 queue.By means of imbedded Markov chains, in the steady state, we obtain the PGF of the system size. In addition, the stable availability of the systemy is also provided. |
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| Keywords: | operations research queue length imbedded Markov chains stable availability adaptive multistage vacations |
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