| 一类修复不如新的可修复系统的可靠性分析 |
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| 引用本文： | 杨渊平,张玉峰.一类修复不如新的可修复系统的可靠性分析[J].数学的实践与认识,2011,41(21). |
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| 作者姓名： | 杨渊平 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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| 基金项目： | 延边大学研究生科研项目(201018) |
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| 摘 要： | 用增补变量的方法建立了在人为错误下修复不如新的两相同部件并联可修复系统.通过选取空间和定义系统算子,将模型方程转化成为了抽象Cauchy问题.然后利用线性算子半群理论研究了系统解的存在唯一性和渐近稳定性,进一步对系统的可用度做了比较分析.
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| 关 键 词： | C_0-半群 可修复系统 可靠性 稳定性 可用度 |
Reliability Analysis of a Repairable System with Not Be Good as New |
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| YANG Yuan-ping,ZHANG Yu-feng.Reliability Analysis of a Repairable System with Not Be Good as New[J].Mathematics in Practice and Theory,2011,41(21). |
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| Authors: | YANG Yuan-ping ZHANG Yu-feng |
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| Institution: | YANG Yuan-ping,ZHANG Yu-feng (Department of Mathematics,Yanbian University,Yanji 133002,China) |
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| Abstract: | In this paper,using the supplementary variable method established human error modeling of two identical units parallel repairable system with not be good as new.By choosing state space and defining operator of system,we transfer model into a abstract Cauchy problem.Then,we proved the unique existence and asymptotic stability of the solution of the system,applying the theorem of linear operator semi-group in Banach space. Moreover,we discussed the availability of the system. |
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| Keywords: | Co-semigroup repairable system reliability stability availability |
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