| 无延时可修系统的可靠性分析与计算 |
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| 引用本文： | 刘亚春,王盈,张娜.无延时可修系统的可靠性分析与计算[J].南华大学学报(自然科学版),2019,33(1):44-46. |
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| 作者姓名： | 刘亚春 王盈 张娜 |
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| 作者单位： | 南华大学 数理学院,湖南 衡阳 421001,南华大学 数理学院,湖南 衡阳 421001,南华大学 数理学院,湖南 衡阳 421001 |
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| 基金项目： | 南华大学博士启动基金资助项目(2016XQD04);南华大学研究生科研创新项目(2016XCX07;2008XCX88) |
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| 摘 要： | 针对无延时可修系统,在假设失效时间服从指数分布、而维修时间服从一般分布的前提下,利用补充变量法,建立了系统的可靠性模型,通过拉普拉斯变换,推导出了系统的瞬时可用度、瞬时故障频度、稳态可用度、稳态故障频度、平均开工时间、平均停工时间和平均周期等可靠性指标的解析表达式,并验证结论的正确性,纠正了某些参考文献的瑕疵或错误,推广了有关结果。
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| 关 键 词： | 可修系统 可靠性 模型 稳态可靠性指标 |
| 收稿时间： | 2018/10/8 0:00:00 |
Reliability Analysis and Calculation of Repairable System without Delay |
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| LIU Yachun,WANG Ying and ZHANG Na.Reliability Analysis and Calculation of Repairable System without Delay[J].Journal of Nanhua University:Science and Technology,2019,33(1):44-46. |
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| Authors: | LIU Yachun WANG Ying and ZHANG Na |
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| Institution: | School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China,School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China and School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China |
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| Abstract: | Specific to repairable system without delay,it is assumed that the failure time obeys exponential distribution,and the repair time obeys general distribution.Using the method of supplementary variable,the system reliability model is established.Through Laplace transform,some reliability indexes'' analytical expression,such as instantaneous availability,instantaneous fault frequency,steady-state availability,steady-state fault frequency,average starting time,average shutdown time and average period and so on,is deduced.Finally,the correctness of the conclusion is verified,which corrects some references'' defects or errors,and some relevant conclusions is generalized. |
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| Keywords: | repairable system reliability model stable reliability index |
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