Reliability Analysis of a Cold Standby Repairable System with Repairman Extra Work

doi:10.1007/s11424-015-4081-5

	Reliability Analysis of a Cold Standby Repairable System with Repairman Extra Work
	Zhang Xin 1,2
刊名	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
	2015-10-01
卷号	28 期号:5 页码:1015-1032
关键词	C-0-semigroup exponential stability repairable system resolvent positive operator
ISSN号	1009-6124
DOI	10.1007/s11424-015-4081-5
英文摘要	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. 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.
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000358602600001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/20448]
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang Xin
作者单位	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
推荐引用方式 GB/T 7714	Zhang Xin. Reliability Analysis of a Cold Standby Repairable System with Repairman Extra Work[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2015,28(5):1015-1032.
APA	Zhang Xin.(2015).Reliability Analysis of a Cold Standby Repairable System with Repairman Extra Work.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,28(5),1015-1032.
MLA	Zhang Xin."Reliability Analysis of a Cold Standby Repairable System with Repairman Extra Work".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 28.5(2015):1015-1032.