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| 修理设备可更换且有修理延迟的N部件串联系统分析 | |
| 引用本文： | 刘仁彬,唐应辉,骆川义.修理设备可更换且有修理延迟的N部件串联系统分析[J].数学的实践与认识,2007,37(1):49-54. |
| 作者姓名： | 刘仁彬 唐应辉 骆川义 |
| 作者单位： | 1. 重庆工学院数理学院,重庆,400050 2. 四川师范大学数学与软件科学学院,成都,610066 3. 西南财经大学经济数学系,成都,610074 |
| 基金项目： | 四川省学术与技术带头人培养基金;四川师范大学引进人才基金 |
| 摘 要： | 假定部件的寿命服从指数分布,修理延迟时间和修理时间均服从任意分布,并且修理设备的寿命服从指数分布,其更换时间服从任意分布的情况下,利用马尔可夫更新过程理论和拉普拉斯变换工具,研究了修理有延迟且修理设备可更换的n部件串联可修系统,求得了系统的可用度和(0,t]时间内的平均故障次数.进一步,在定义修理设备“广义忙期”下,利用全概率分解,提出了一种新的分析技术,讨论了修理设备的可靠性指标,得到修理设备的一些重要可靠性结果. |
| 关 键 词： | 可修系统 修理延迟 马尔可夫更新过程 可用度 故障时间 故障次数 |
| 修稿时间： | 2004年11月26 |
Reliability Analysis of N-Unit Series System with a Replaceable Facility and Delay Repair |
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| LIU Ren-bin,TANG Ying-hui,LUO Chuan-yi.Reliability Analysis of N-Unit Series System with a Replaceable Facility and Delay Repair[J].Mathematics in Practice and Theory,2007,37(1):49-54. | |
| Authors: | LIU Ren-bin TANG Ying-hui LUO Chuan-yi |
| Abstract: | A n-unit series repairable system with a replaceable facility and delay repair is studied under assuming that the systematic unit′s life has exponential distribution,the delay repair time and the repair time both have arbitrary distributions,and the repair facility′s life has exponential distribution and its repair time has arbitrary distribution.By using the Markov renewal process theory and the tool of the Laplace transform,some reliability quantities of the system, such as the system′s availability and the expected failure number during(0,t] are obtained.Furthermore,the generalized busy period of the repair facility is defined,and a new approach to analyze the repair facility′s reliability quantities is provided by total probability decomposition.A series of reliability results of the repair facility are also obtained. |
| Keywords: | repairable system repair delay Markov renewal process availability failure time failure number |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |