| 具有两种故障状态的M/G/1可修排队系统 |
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| 引用本文： | 陈洋,朱翼隽,卫飚.具有两种故障状态的M/G/1可修排队系统[J].江苏大学学报(自然科学版),2002,23(5):5-8. |
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| 作者姓名： | 陈洋 朱翼隽 卫飚 |
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| 作者单位： | 1. 江苏大学理学院,江苏,镇江,212013
2. 南京政治学院基础部,江苏,南京,210003 |
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| 基金项目： | 江苏省自然科学基金资助项目 (BK970 47)，江苏省教育厅基金资助项目 (0 0KJT110 0 3 ) |
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| 摘 要： | 人们已对可修的M G 1排队系统做了大量的研究工作 ,但大多只研究了具有一种故障状态的可修排队系统 而笔者研究了具有两种故障状态 (正常和异常 )的M G 1可修排队系统 其中正常故障状态是由于服务台的寿命终止而引起系统失效 ,其修理时间为正常故障修理时间 ;异常故障状态是由于服务员操作失误等其他原因而造成系统失效 其修理时间为异常故障修理时间 假定服务台的寿命具有负指数分布 ,修理时间和服务时间均为一般分布 文中使用的补充变量法可求出一些排队指标和可靠性指标
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| 关 键 词： | 可修排队系统 队长分布 可靠性 |
| 文章编号： | 1671-7775(2002)05-0005-04 |
| 修稿时间： | 2002年4月18日 |
Analysis of the Repairable Queueing System M/G/1with Two Kinds of Breakdown States |
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| CHEN Yang ,ZHU Yi jun ,WEI Biao.Analysis of the Repairable Queueing System M/G/1with Two Kinds of Breakdown States[J].Journal of Jiangsu University:Natural Science Edition,2002,23(5):5-8. |
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| Authors: | CHEN Yang ZHU Yi jun WEI Biao |
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| Institution: | CHEN Yang 1,ZHU Yi jun 1,WEI Biao 2 |
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| Abstract: | Much has been done concerning repairable queueing system M/G/1 and plenty of results been obtained. But those results are mainly concerned with the situation of only one kind of breakdown state. In this paper, we study the repairable queueing system M/G/1 with two kinds of breakdown states (normal and abnormal). Normal breakdown is caused by the life termination of the service station and abnormal breakdown results from the operation lapse. We propose that the life length of the service station has exponential distribution and the both normal and abnormal repair times have general distribution. By the method of Vector Markov Process, we obtain some characteristics of the system, main reliability indices of the service station, and important performance measures of the queue. |
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| Keywords: | repairable queueing system queueing reliability |
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