| 空竭服务多级适应性休假GeomX/G/1排队系统分析 |
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| 引用本文： | 朱翼隽,胥秀珍.空竭服务多级适应性休假GeomX/G/1排队系统分析[J].江苏大学学报(自然科学版),2005,26(2):133-136. |
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| 作者姓名： | 朱翼隽 胥秀珍 |
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| 作者单位： | 江苏大学理学院,江苏,镇江,212013;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);江苏省教育厅自然科学基金资助项目(00KJT110003) |
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| 摘 要： | 在空竭服务多级适应性休假Geom／G／1型排队系统的基础上，讨论空竭服务多级适应性休假Geom^x／G／1型排队系统的稳态队长．利用嵌入马尔可夫链法，得到了稳态状态下顾客离去时刻系统队长的母函数，结果表明系统队长存在随机分解，而且附加队长有明确的概率意义．
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| 关 键 词： | GeomX/G/1型排队系统 多级适应性休假 嵌入马尔可夫链 随机分解 |
| 文章编号： | 1671-7775(2005)02-0133-04 |
| 修稿时间： | 2004年5月9日 |
Analysis of GeomX/G/1 queueing system with exhaustive service discipline and adptive multi-stage vacations |
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| ZHU Yi-jun,XU Xiu-zhen.Analysis of GeomX/G/1 queueing system with exhaustive service discipline and adptive multi-stage vacations[J].Journal of Jiangsu University:Natural Science Edition,2005,26(2):133-136. |
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| Authors: | ZHU Yi-jun XU Xiu-zhen |
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| Abstract: | Based on the Geom/G/1 queueing system with exhaustive service discipline and adptive multistage vacations, the queue length of the Geom~X/G/1 queueing system with exhaustive service discipline and adptive multi-stage vacations is discussed. By means of imbedded Markov chains, the PGF of the system size in steady state is obtained. It shows that the system size can be decomposed into two random variables and the addition queue length has definite probability singnificance. |
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| Keywords: | Geom~X/G/1 queueing system adaptive multi-stage vacations imbedded Markov chains stochastic decomposition |
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