中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
Stability analysis of a new kind n-unit series repairable system

文献类型：期刊论文

作者Guo, Lina1,2; Xu, Houbao3; Gao, Chao4; Zhu, Guangtian5
刊名APPLIED MATHEMATICAL MODELLING
出版日期2011
卷号35期号:1页码:202-217
关键词Availability C(0)-semigroup theory Asymptotic stability Steady-state solution Reliability indices
ISSN号0307-904X
DOI10.1016/j.apm.2010.05.018
英文摘要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.
资助项目Beijing Institute of Technology[2007Y0716] ; [NSFC10826045]
WOS研究方向Engineering ; Mathematics ; Mechanics
语种英语
WOS记录号WOS:000282241200015
出版者ELSEVIER SCIENCE INC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/11885]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。