| 状态转移链法——不可修的马氏型系统的可靠性分析 |
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| 引用本文： | 张福渊,李沛琼,韩于羹.状态转移链法——不可修的马氏型系统的可靠性分析[J].航空学报,1984,5(2):193-199. |
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| 作者姓名： | 张福渊 李沛琼 韩于羹 |
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| 作者单位： | 北京航空学院
(张福渊，李沛琼)，北京航空学院(韩于羹) |
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| 摘 要： | 对于不可修的马氏型系统,本文论证了加性定理,把求瞬时概率pj（t）转化为求它在各条状态转移链上的分量。本文还导出了计算分量的一组公式,从而论证了状态转移链法。它可以预测复杂系统的可靠性,还可以预测由于系统使用一段时间或者由于某些单元失效导致的可靠性的变化。
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| 收稿时间： | 1983-05-01; |
STATE TRANSITION CHAIN METHOD-RELIABILITY ANALYSES OF IRREPARABLE MARKOVIAN SYSTEMS |
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| Zhang Fuyuang,Li Peiqiong,Han Yugeng.STATE TRANSITION CHAIN METHOD-RELIABILITY ANALYSES OF IRREPARABLE MARKOVIAN SYSTEMS[J].Acta Aeronautica et Astronautica Sinica,1984,5(2):193-199. |
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| Authors: | Zhang Fuyuang Li Peiqiong Han Yugeng |
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| Institution: | Beijing Institute of Aeronautics and Astronautics |
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| Abstract: | The state transition chain method is discussed and demonstrated as a method of reliability analyses for irreparable markovian systems, and the additivity theorem is proved. pi（t） is the sum of components in all state transition chains from O to j （see formula（ 2 ））. State O means that the system is good; state j is any state of the system; pi （t） is the probability of the system statejat time tisJ. Some formulas for calculating components are derived （see formulas （12）-（17））. The additivity theorem and the formulas can be used in calculating the reliability of a complex system. Also, they are applicable to calculating the changes of system reliability which are incurred by system age t0 or failure of some units. The method is very convenient for searching the chains and calculating on a computer. |
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