文献类型：期刊文献

中文题名：Reliability Analysis of a Cold Standby Repairable System with Repairman Extra Work

英文题名：Reliability Analysis of a Cold Standby Repairable System with Repairman Extra Work

作者：Zhang Xin[1,2]

第一作者：Zhang Xin

通讯作者：Zhang, X[1]

机构：[1]Beijing Union Univ, Dept Basic Courses, Beijing 100101, Peoples R China;[2]Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

第一机构：北京联合大学基础教学部

通讯机构：[1]corresponding author), Beijing Union Univ, Dept Basic Courses, Beijing 100101, Peoples R China.|[1141788]北京联合大学基础教学部;[11417]北京联合大学;

年份：2015

卷号：0

期号：5

起止页码：1015-1032

中文期刊名：系统工程与电子技术：英文版

外文期刊名：JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY

收录：;EI(收录号：20153101103137);Scopus(收录号：2-s2.0-84938364706);WOS:【SCI-EXPANDED(收录号:WOS:000358602600001)】；CSCD:【CSCD2015_2016】；

基金：This research was supported by the National Natural Science Foundation of China under Grant No. 11201007.

语种：英文

中文关键词：冷贮备系统;修理工;可靠性分析;时间依赖;利润分析;指数稳定性;可靠性指标;可修系统

外文关键词：C-0-semigroup; exponential stability; repairable system; resolvent positive operator

摘要：This paper deals with a cold standby repairable system with two identical units and one repairman who can do extra work in idle time. The authors are devoted to studying the unique existence and exponential stability of the system solution. C0-semigroup theory is used to prove the existence of a unique nonnegative time-dependent solution of the system. Then by using the theory of resolvent positive operator, the authors derive that dynamic solution of the system exponentially converges to its steady-state one which is the eigenfunction corresponding to eigenvalue 0 of the system operator. Some reliability indices of the system are discussed with a different method from traditional one. The authors also make a profit analysis to determine the optimal service time outside the system to maximize the system profit.
This paper deals with a cold standby repairable system with two identical units and one repairman who can do extra work in idle time. The authors are devoted to studying the unique existence and exponential stability of the system solution. C-0-semigroup theory is used to prove the existence of a unique nonnegative time-dependent solution of the system. Then by using the theory of resolvent positive operator, the authors derive that dynamic solution of the system exponentially converges to its steady-state one which is the eigenfunction corresponding to eigenvalue 0 of the system operator. Some reliability indices of the system are discussed with a different method from traditional one. The authors also make a profit analysis to determine the optimal service time outside the system to maximize the system profit.