Reliability and Profit Analysis of a Series Repairable System With Repairman Vacation

被引:0
|
作者
Guo Lina [1 ]
Zhao Zhixin [1 ]
Xu Houbao [1 ]
Zhu Guangtian [1 ]
机构
[1] Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Peoples R China
关键词
Dynamic solution; Steady-state solution; C-0-semigroup theory; Exponential stability; Reliability indices; AVAILABILITY; POLICY;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper deals with an n-unit series repairable system with repairman vacation and replaceable facility. First, the uniqueness and existence of the system dynamic solution is discussed by using C-0-semigroup theory. It is followed by the presentation of the stability, especially the exponential stability of the system by analyzing the spectral distribution of the system operator and its quasi-compactness. In the end, some primary reliability indices are calculated from the eigenfunction point of view and the optimal system profit for repairman vacation and some other applications are provided.
引用
收藏
页码:1009 / 1014
页数:6
相关论文
共 50 条
  • [31] A semigroup approach to the Gnedenko system with single vacation of a repairman
    Abdukerim Haji
    Agnes Radl
    Semigroup Forum, 2013, 86 : 41 - 58
  • [32] Reliability analysis of a redundant series system with common cause failures and delayed vacation
    Gao, Shan
    Wang, Jinting
    Zhang, Jie
    RELIABILITY ENGINEERING & SYSTEM SAFETY, 2023, 239
  • [33] Reliability analysis of a repairable duplex system
    Vanderperre, E. J.
    Makhanov, S. S.
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2014, 45 (09) : 1970 - 1977
  • [34] RELIABILITY ANALYSIS OF A SIMPLE REPAIRABLE SYSTEM
    Guo, L. N.
    Xu, H. B.
    Gao, C.
    Zhu, G. T.
    ANZIAM JOURNAL, 2010, 52 (02): : 203 - 217
  • [35] Reliability analysis of a repairable robot system
    Department of Mechanical Engineering, University of Ottawa, Ont., Canada
    J Qual Maint Eng, 2 (30-37):
  • [36] A semigroup approach to the Gnedenko system with single vacation of a repairman
    Haji, Abdukerim
    Radl, Agnes
    SEMIGROUP FORUM, 2013, 86 (01) : 41 - 58
  • [37] PROFIT ANALYSIS OF THE SYSTEM WITH THREE DISSIMILAR REPAIRABLE UNITS
    El-Said, Khaled Moh
    PAKISTAN JOURNAL OF STATISTICS, 2013, 29 (04): : 467 - 477
  • [38] A cold standby repairable system with the repairman having multiple vacations and operational, repair, and vacation times following phase-type distributions
    Liu, Baoliang
    Cui, Lirong
    Wen, Yanqing
    Guo, Furi
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, 45 (04) : 850 - 858
  • [39] Exponential Asymptotic Stability of Repairable System with Randomly Selected Repairman
    Qiao, Xing
    Ma, Dan
    Li, Zhaoxing
    CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS, 2009, : 4580 - 4584
  • [40] Reliability analysis of non-repairable complex system with weighted subsystems connected in series
    Negi, Seema
    Singh, S. B.
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 262 : 79 - 89