中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
RELIABILITY ANALYSIS OF A SIMPLE REPAIRABLE SYSTEM

文献类型:期刊论文

作者Guo, L. N.1; Xu, H. B.2; Gao, C.3; Zhu, G. T.4
刊名ANZIAM JOURNAL
出版日期2010-10-01
卷号52期号:2页码:203-217
关键词dynamic solution steady-state solution C(0)-semigroup theory exponential stability reliability index profit analysis
ISSN号1446-1811
DOI10.1017/S1446181111000666
英文摘要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.
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
语种英语
WOS记录号WOS:000295326500006
出版者CAMBRIDGE UNIV PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/11057]  
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.

入库方式: OAI收割

来源:数学与系统科学研究院

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