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
  • [21] Dynamic Analysis of a Deteriorating System with Single Vacation of a Repairman
    Qi, Xue-ping
    Haji, Abdukerim
    Muhtar, Muhtabar
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2022, 38 (03): : 690 - 709
  • [22] Dynamic Analysis of a Deteriorating System with Single Vacation of a Repairman
    Xue-ping Qi
    Abdukerim Haji
    Muhtabar Muhtar
    Acta Mathematicae Applicatae Sinica, English Series, 2022, 38 : 690 - 709
  • [23] Stability Analysis of an N-Unit Series Repairable System with a Repairman Doing Other Work
    Haji, A.
    Yunus, B.
    Huxur
    PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON ELECTRICAL, AUTOMATION AND MECHANICAL ENGINEERING (EAME 2015), 2015, 13 : 646 - 649
  • [24] Reliability Analysis of a Reparable Multistate Device Attended by a Repairman with Single Vacation
    Ma Lixia
    Xu Genqi
    2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 1178 - 1183
  • [25] Reliability analysis of a k-out-of-n:G repairable system with single vacation
    Wu, Wenqing
    Tang, Yinghui
    Yu, Miaomiao
    Jiang, Ying
    APPLIED MATHEMATICAL MODELLING, 2014, 38 (24) : 6075 - 6097
  • [26] RELIABILITY-ANALYSIS OF A SERIES REPAIRABLE SYSTEM WITH MULTIPLE FAILURES
    CHUNG, WK
    MICROELECTRONICS RELIABILITY, 1991, 31 (2-3) : 371 - 373
  • [27] Stability analysis of an n-unit series repairable system with one repairman doing other work
    Xu, Houbao
    Gu, Lina
    Zhu, Guangtian
    PROCEEDINGS OF 2008 INTERNATIONAL CONFERENCE ON RISK AND RELIABILITY MANAGEMENT, VOLS I AND II, 2008, : 726 - 729
  • [28] Analysis of two components parallel repairable system with vacation
    Li, Yan Ling
    Xu, Gen Qi
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2021, 50 (10) : 2429 - 2450
  • [29] A new kind of repairable system with repairman vacations
    Zhang, Xiao
    Guo, Lina
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (04): : 324 - 333
  • [30] Analysis of two components parallel repairable degenerate system with vacation
    Li, YanLing
    Xu, GenQi
    Chen, Hao
    AIMS MATHEMATICS, 2021, 6 (10): : 10602 - 10619