[1]刘东旭,司文艺,袁玉娇.一类单部件可修复系统的稳定性及可靠性分析[J].延边大学学报(自然科学版),2014,40(01):15-19.
　LIU Dongxu,SI Wenyi,YUAN Yujiao.The exponential stability and reliability analysis of a kind of single-component repairable system[J].Journal of Yanbian University,2014,40(01):15-19.
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一类单部件可修复系统的稳定性及可靠性分析

《延边大学学报(自然科学版)》[ISSN:1004-4353/CN:22-1191/N] 卷: 第40卷 期数: 2014年01期 页码: 15-19 栏目: 基础科学研究 出版日期: 2014-03-20
Title:
The exponential stability and reliability analysis of a kind of single-component repairable system
作者:
刘东旭1;  司文艺2;  袁玉娇1
1.延边大学理学院 数学系; 2.延边教育出版社 网络出版中心: 吉林 延吉 133000
Author(s):
LIU Dongxu1;  SI Wenyi2;  YUAN Yujiao1
1.Department of Mathematics, College of Science, Yanbian University; 2.Network Publishing Center, Yanbian Education Publishing House: Yanji 133000, China
关键词:
C0-半群;  稳定性;  可靠性
Keywords:
C0-semigroup;  stability;  reliability
分类号:
O231.1
文献标志码:
A
摘要:
研究了一类单部件可修复系统.首先利用补充变量法建立了模型,并证明了此系统的动态解以指数形式收敛于系统的稳态解,并且当修复率μ(x)为某一阶梯函数时,系统的瞬时可用度的极限不再是牢固可用度,并给出了此时系统可靠的条件.
Abstract:
A kind of single-component repairable system is investigated. We set up the model with supplementary variable method, and prove that the dynamic solution of the system exponentially converges to the steady-state solution. Moreover, we prove that when the repair rate μ(x)is some piecewise function, the limit of instant state availability is not the steady state availability of the system. Last, we obtain the reliable condition of the system.

参考文献/References:

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备注/Memo

收稿日期: 2013-04-25作者简介: 刘东旭(1984—),男,助教,研究方向为应用泛函分析.

更新日期/Last Update: 2014-03-20