| 具预警功能的三部件并联可修复系统的可靠性分析 |
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| 引用本文： | 林锋,高超,尹哲. 具预警功能的三部件并联可修复系统的可靠性分析[J]. 数学的实践与认识, 2012, 42(6): 169-179 |
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| 作者姓名： | 林锋 高超 尹哲 |
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| 作者单位： | 1. 延边大学理学院数学系,吉林延吉,133002
2. 北京信息控制研究所,北京,100371 |
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| 摘 要： | 研究了具有预警功能的三部件并联且有两个热备器的可修复系统,系统可转化为一个Banch空间上的抽象Cauchy问题.首先利用半群理论证明了该系统强解的存在唯一性,其次运用了代数方法证明了0是系统算子的简单本征值,最后对系统和不含预警功能的系统的可用度进行了比较分析.
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| 关 键 词： | 预警功能 热储备器 强解 可用度 |
Reliability Analysis of Three-Units Parallel Repairable System with Warning Function |
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| LIN Feng , GAO Chao , YIN Zhe. Reliability Analysis of Three-Units Parallel Repairable System with Warning Function[J]. Mathematics in Practice and Theory, 2012, 42(6): 169-179 |
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| Authors: | LIN Feng GAO Chao YIN Zhe |
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| Affiliation: | 1 (1.Department of Mathematics,Yanbian University,Yanji 133002,China) (2.Department of System Engineering,Beijing Institute of Information and Control,Beijing 100037,China) |
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| Abstract: | The three-unit parallel repairable system with two warm standby was discussed. The system can be transformed into a Banach space of Cauchy problem.Firstly, proved existence and uniqueness of strong solutions of the system using semigroup theory. Secondly,we proved that O is the sample eigenvalue of the system operator applying algebra method.Finally,we compared the availability of the system with a system without waringfunction. |
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| Keywords: | early warning function warm standby strong solution availability |
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