Stability analysis of a new kind n-unit series repairable system

doi:10.1016/j.apm.2010.05.018

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	Stability analysis of a new kind n-unit series repairable system
	Guo, Lina 1,2; Xu, Houbao 3; Gao, Chao 4; Zhu, Guangtian 5
	2011
发表期刊	APPLIED MATHEMATICAL MODELLING
ISSN	0307-904X
卷号	35 期号:1 页码:202-217
摘要	In this paper, we deal with a new model of an n-unit series repairable system, in which a concept of a repairman with multiple-delayed vacation is introduced and the impact on the system reliability due to a replaceable facility is also considered. This paper is devoted to studying the unique existence and 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 analyzing the spectra distribution of the system operator, we prove that the dynamic solution of the system asymptotically converges to the nonnegative steady-state solution which is the eigenfunction corresponding to eigenvalue 0 of the system operator. Furthermore, we discuss the exponential stability of the system in a special case. Some reliability indices of the system are also studied and the optimal vacation time is analyzed at the end of the paper. (C) 2010 Elsevier Inc. All rights reserved.
关键词	Availability C(0)-semigroup theory Asymptotic stability Steady-state solution Reliability indices
DOI	10.1016/j.apm.2010.05.018
语种	英语
资助项目	Beijing Institute of Technology[2007Y0716] ; [NSFC10826045]
WOS研究方向	Engineering ; Mathematics ; Mechanics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000282241200015
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11886
专题	中国科学院数学与系统科学研究院
通讯作者	Guo, Lina
作者单位	1.Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Peoples R China 2.Beijing Inst Informat & Control, Dept Syst Engn, Beijing 100037, Peoples R China 3.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China 4.Yanbian Univ, Dept Math, Yanji 133002, Peoples R China 5.CAS, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Guo, Lina,Xu, Houbao,Gao, Chao,et al. Stability analysis of a new kind n-unit series repairable system[J]. APPLIED MATHEMATICAL MODELLING,2011,35(1):202-217.
APA	Guo, Lina,Xu, Houbao,Gao, Chao,&Zhu, Guangtian.(2011).Stability analysis of a new kind n-unit series repairable system.APPLIED MATHEMATICAL MODELLING,35(1),202-217.
MLA	Guo, Lina,et al."Stability analysis of a new kind n-unit series repairable system".APPLIED MATHEMATICAL MODELLING 35.1(2011):202-217.