Cold standby repairable system with working vacations and vacation interruption

被引:1
|
作者
Liu, Baoliang [1 ]
Cui, Lirong [2 ]
Wen, Yanqing [1 ]
机构
[1] Shanxi Datong Univ, Coll Math & Comp Sci, Datong 037009, Peoples R China
[2] Beijing Inst Technol, Sch Management & Econ, Beijing 100081, Peoples R China
基金
中国国家自然科学基金;
关键词
reliability; phase-type (PH) distribution; multiple vacations; working vacations; vacation interruption; rate of occurrence of failure; MARKOVIAN ARRIVAL PROCESS; PHASE; TIMES; DISTRIBUTIONS; RELIABILITY; 2-SYSTEM; FAILURE; QUEUE;
D O I
10.1109/JSEE.2015.00122
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 studies a cold standby repairable system with working vacations and vacation interruption. The repairman's multiple vacations policy, the working vacations policy and the vacation interruption are considered simultaneously. The lifetime of components follows a phase-type (PH) distribution. The repair time in the regular repair period and the working vacation period follow other two PH distributions at different rates. For this system, the vector-valued Markov process governing the system is constructed. We obtain several important performance measures for the system in transient and stationary regimes applying matrix-analytic methods. Finally, a numerical example is given to illustrate the results obtained.
引用
收藏
页码:1127 / 1134
页数:8
相关论文
共 50 条
  • [31] An optimal geometric process model for a cold standby repairable system
    Zhang, YL
    RELIABILITY ENGINEERING & SYSTEM SAFETY, 1999, 63 (01) : 107 - 110
  • [32] Reliability analysis of a warm standby repairable system with repairman vacation under Poisson shocks
    College of Sciences, Yanshan University, Qinhuangdao, China
    J. Comput. Inf. Syst., 10 (3821-3832):
  • [33] Dynamic Analysis of a Standby System with Retrial Strategies and Multiple Working Vacations
    Lai, Changjiang
    Kasim, Ehmet
    Muhammadhaji, Ahmadjan
    MATHEMATICS, 2024, 12 (24)
  • [34] An M/G/1 G-queue with server breakdown, working vacations and bernoulli vacation interruption
    Li, Jing
    Li, Tao
    IAENG International Journal of Applied Mathematics, 2020, 50 (02): : 1 - 8
  • [35] Analysis of an unreliable retrial G-queue with working vacations and vacation interruption under Bernoulli schedule
    Rajadurai, P.
    Chandrasekaran, V. M.
    Saravanarajan, M. C.
    AIN SHAMS ENGINEERING JOURNAL, 2018, 9 (04) : 567 - 580
  • [36] An optimal replacement policy for repairable cold standby system with priority in use
    Wang, Guan Jun
    Zhang, Yuan Lin
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2007, 38 (12) : 1021 - 1027
  • [37] Reliability Analysis of a Cold Standby Repairable System with Repairman Extra Work
    Zhang Xin
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2015, 28 (05) : 1015 - 1032
  • [38] Repairable 3-Out-Of-4: Cold Standby System Availability
    Grida, Mohamed
    Zaid, Abdelnaser
    Kholief, Ghada
    2017 ANNUAL RELIABILITY AND MAINTAINABILITY SYMPOSIUM, 2017,
  • [39] Reliability of a cold standby discrete time state aggregated repairable system
    Wen Y.
    Cui L.
    Liu B.
    Shi H.
    2018, Chinese Institute of Electronics (40): : 2382 - 2387
  • [40] Transient Analysis of a Repairable Single Server Queue with Working Vacations and System Disasters
    Sampath, M. I. G. Suranga
    Kalidass, K.
    DISTRIBUTED COMPUTER AND COMMUNICATION NETWORKS (DCCN 2019), 2019, 1141 : 258 - 272