| 具有人为故障的人-机系统的可靠性分析 |
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| 引用本文： | 常立波,张玉峰.具有人为故障的人-机系统的可靠性分析[J].数学的实践与认识,2012,42(12):164-174. |
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| 作者姓名： | 常立波 张玉峰 |
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| 作者单位： | 延边大学理学院数学系,吉林延吉,133002 |
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| 摘 要： | 介绍了一个具有人为故障的人-机系统的可修复模型,利用算子半群理论证明了新模型系统解的存在唯一性和指数型稳定性.另外,当故障率λ_0→∞时,系统的瞬态可用度逼近弱解系统瞬态可用度.即,新模型系统逼近原模型弱解系统.
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| 关 键 词： | 人为故障 瞬态可用度 逼近 弱解 |
Reliability Analysis of a Man-Machine System with Human Error |
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| CHANG Li-bo
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ZHANG Yu-feng.Reliability Analysis of a Man-Machine System with Human Error[J].Mathematics in Practice and Theory,2012,42(12):164-174. |
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| Authors: | CHANG Li-bo ZHANG Yu-feng |
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| Institution: | (Department of Mathematics,Yanbian University,Yanji 133002,China) |
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| Abstract: | This paper presents the repairable model of a man-machine with human error. By operator theory,the existence and uniqueness and the exponential stability of new model system is discussed in the paper.particularly,whenλ0 approaches to infinity,the instantaneous stability of the system approach to the instantaneous stability of the weak solution of the system.That is,the new system approximate to the original system with mild solution. |
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| Keywords: | human error instantaneous stability approximation mild solution |
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