| 服务台由N个部件串联的M/G/1(E,MV)可修排队系统的平稳分布 |
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| 引用本文： | 魏瑛源.服务台由N个部件串联的M/G/1(E,MV)可修排队系统的平稳分布[J].河西学院学报,2006,22(2):6-10. |
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| 作者姓名： | 魏瑛源 |
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| 作者单位： | 河西学院数学系,甘肃,张掖,734000 |
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| 摘 要： | 文章考虑到服务台是由N个不同型部件串联组成的M/G/1(E,MV)可修排队系统,其中服务台工作当且仅当N个部件都工作.假定每个部件的寿命服从指数分布,故障部件的修理时间服从一般分布.通过引入顾客的“广义服务时间”和队长过程的嵌入Markov链,得到了嵌入Markov链的平稳分布的递推表达式以及平均队长.
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| 关 键 词： | M/G/1(E MV)可修排队系统 顾客的“广义服务时间” 嵌入Markov链 平稳分布 平均队长 |
| 文章编号： | 1672-0520（2006）02-0006-05 |
| 收稿时间： | 11 11 2005 12:00AM |
| 修稿时间： | 2005-11-11 |
Equilibrium Distribution of Repairable Queueing System with Units Series Structure |
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| WEI Ying-yuan.Equilibrium Distribution of Repairable Queueing System with Units Series Structure[J].Journal of Hexi University,2006,22(2):6-10. |
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| Authors: | WEI Ying-yuan |
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| Institution: | Department of Mathematies, Hexi University, Zhangye, Gansu 734000, China |
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| Abstract: | In this article,we consider repairable queueing system with N dissimilar units series structure,it operates if and only if all of the N units operate,assuming that each unit has exponential distribution and its repair time has arbitrary distribution.By introducing "the generalized service time" of the customer and the embedded Markov chains of queue length,we obtained the recursive expression of equilibrium distribution of embedded Markov chains and average queue length. |
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| Keywords: | reparable queueing system the generalized service time embedded Markov chains equilibrium distribution average queue length |
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