Reliability Analysis of a Repairable System with Repairmen Selected Randomly

被引:0
|
作者
Guo Lina [1 ,3 ]
Tao Youde [2 ,3 ]
Xu Houbao [4 ]
Gao Chao [5 ]
机构
[1] Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Peoples R China
[2] Xinyang Normal Univ, Coll Math & Informat Sci, Xinyang 464000, Peoples R China
[3] Beijing Inst Informat & Control, Dept Engn, Beijing 100037, Peoples R China
[4] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
[5] Yanbian Univ, Dept Math, Yanji 133002, Peoples R China
来源
PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE | 2010年
关键词
Transient Solution; Steady-state Solution; C-0-semigroup Theory; Exponential Stability; Reliability Indices; WARM STANDBYS; PATIENCE TIME; VACATION; COLD;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we deal with a repairable system with repairmen whom can be selected randomly. In reliability study, it is ordinary to substitute the steady-state reliability indices for dynamic ones because the time-dependent solution is difficult to get. But this replacement should be based on some conditions in general. Therefore it is important to study the unique existence and the expression of the dynamic solution and it is the same with its stability. This paper is devoted to studying the unique existence of the dynamic solution of the system by C-0-semigroup theory and discussing its exponential stability by analyzing the spectra distribution of the system operator and its quasi-compactness. Some reliability indices of the system are discussed with a different method from traditional one, which is simpler when considering the steady-state indices.
引用
收藏
页码:111 / 116
页数:6
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