RELIABILITY ANALYSIS OF A SIMPLE REPAIRABLE SYSTEM

doi:10.1017/S1446181111000666

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	RELIABILITY ANALYSIS OF A SIMPLE REPAIRABLE SYSTEM
	Guo, L. N.1; Xu, H. B.2; Gao, C.3; Zhu, G. T.4
	2010-10-01
发表期刊	ANZIAM JOURNAL
ISSN	1446-1811
卷号	52 期号:2 页码:203-217
摘要	We consider a new kind of simple repairable system consisting of a repairman with multiple delayed-vacation strategy. A common technique in reliability studies is to substitute the steady-state reliability indexes for instantaneous ones because the dynamic solution of the system is difficult or even impossible to obtain. However, this substitution is not always valid. Therefore, it is important to study the existence, uniqueness and expression for the system's dynamic solution, and to discuss the system's stability. The purpose of this paper is threefold: to study the uniqueness and existence of the dynamic solution, and its expression, using C(0)-semigroup theory; to discuss the exponential stability of the system by analysing the spectral distribution and quasi-compactness of the system operator; to derive some reliability indexes of the system from an eigenfunction point of view, which is different from the traditional Laplace transform technique, and present a profit analysis to determine the optimal vacation time in order to achieve the maximum system profit.
关键词	dynamic solution steady-state solution C(0)-semigroup theory exponential stability reliability index profit analysis
DOI	10.1017/S1446181111000666
语种	英语
资助项目	NSFC[11001013] ; Scientific and Technological Project of Henan Province[092102210070] ; Natural Science Foundation of Henan Province[2010B1200110]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000295326500006
出版者	CAMBRIDGE UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11058
专题	中国科学院数学与系统科学研究院
通讯作者	Guo, L. N.
作者单位	1.Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Peoples R China 2.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China 3.Beijing Inst Informat & Control, Dept Engn, Beijing 100037, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Guo, L. N.,Xu, H. B.,Gao, C.,et al. RELIABILITY ANALYSIS OF A SIMPLE REPAIRABLE SYSTEM[J]. ANZIAM JOURNAL,2010,52(2):203-217.
APA	Guo, L. N.,Xu, H. B.,Gao, C.,&Zhu, G. T..(2010).RELIABILITY ANALYSIS OF A SIMPLE REPAIRABLE SYSTEM.ANZIAM JOURNAL,52(2),203-217.
MLA	Guo, L. N.,et al."RELIABILITY ANALYSIS OF A SIMPLE REPAIRABLE SYSTEM".ANZIAM JOURNAL 52.2(2010):203-217.