| 修理工可对外服务的N部件串联可修系统 |
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| 引用本文： | 刘仁彬,唐应辉,骆川义.修理工可对外服务的N部件串联可修系统[J].黑龙江大学自然科学学报,2005,22(4):493-496. |
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| 作者姓名： | 刘仁彬 唐应辉 骆川义 |
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| 作者单位： | 重庆工学院,数理学院,重庆,400050;电子科技大学,应用数学学院,四川,成都,610054 |
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| 基金项目： | 国家教育部首批“高校骨干教师资助计划”基金资助项目([2000]65)
四川省学术与技术带头人培养基金资助项目([2001]16) |
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| 摘 要： | 考虑修理工可对外服务的可修N部件串联系统可靠性．在每个部件的失效分布、顾客的到达间隔时间分布均为指数分布,其余分布均为一般连续型分布的假定下,通过使用补充变量法、向量马尔可夫过程方法和拉普拉斯变换工具,讨论了系统的瞬时可用度和稳态可用度以及(0, T]时间内系统的平均故障次数和稳态故障频度,得到了系统主要可靠性指标的拉普拉斯变换表达式并进行了效益分析．
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| 关 键 词： | 系统 可靠性 效益 向量马尔可夫过程 |
| 文章编号： | 1001-7011(2005)04-0493-04 |
| 修稿时间： | 2004年8月3日 |
An N- unit series repairable system with a repairman doing other work |
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| LIU Ren-bin,TANG Ying-hui,LUO Chuan-yi.An N- unit series repairable system with a repairman doing other work[J].Journal of Natural Science of Heilongjiang University,2005,22(4):493-496. |
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| Authors: | LIU Ren-bin TANG Ying-hui LUO Chuan-yi |
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| Institution: | LIU Ren - bin,TANG Ying - hui,LUO Chuan - yi School of Mathematics and Physics,Chongqing Institute of Technology,Chongqing 400050,China School of Applied Mathematics,University of Electronic Science and Technology of China,Chengdu 610054,China |
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| Abstract: | The reliability of an n -unit series repairable system with a repairman doing other work is discussed. In the system, the failure time distribution of each unit and the arrival interval time distributions of the customers are assumed to be exponential and the other to be general continuous distributions. By using the supplementary variable method, the vector Markov progress method and the tool of the Laplace transform, the following reliability indexes are discussed:1) the point -wise availability and the stead -state availability; 2) the mean failure number during a given (0,t) and the stead - state failure frequency. The expression of Laplace transforms of some primary reliability indexes of the system are obtained and the benefit of the system is discussed. |
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| Keywords: | system reliability benefit vector Markov process |
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