Reliability and Profit Analysis of a Series Repairable System With Repairman Vacation

被引:0
|
作者
Guo Lina [1 ]
Zhao Zhixin [1 ]
Xu Houbao [1 ]
Zhu Guangtian [1 ]
机构
[1] Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Peoples R China
关键词
Dynamic solution; Steady-state solution; C-0-semigroup theory; Exponential stability; Reliability indices; AVAILABILITY; POLICY;
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
This paper deals with an n-unit series repairable system with repairman vacation and replaceable facility. First, the uniqueness and existence of the system dynamic solution is discussed by using C-0-semigroup theory. It is followed by the presentation of the stability, especially the exponential stability of the system by analyzing the spectral distribution of the system operator and its quasi-compactness. In the end, some primary reliability indices are calculated from the eigenfunction point of view and the optimal system profit for repairman vacation and some other applications are provided.
引用
收藏
页码:1009 / 1014
页数:6
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