Reliability of a system under a new mixed shock model

被引：0
|
作者：
Doostmoradi A. [1 ]
Akhoond M.R. [1 ]
Zadkarami M.R. [1 ]
机构：
[1] Department of statistics, Shahid Chamran University of Ahvaz, Ahvaz
来源：
Communications in Statistics - Theory and Methods | 2023年 / 52卷 / 01期
关键词：
-shock model; extreme shock model; Mixed shock model; reliability function;
D O I：
10.1080/03610926.2021.1910840
中图分类号：
学科分类号：
摘要：
In this paper, we investigate the lifetime reliability of a system under a new mixed shock model. Consider a system whose efficiency is (Formula presented.) If the magnitude of the shock is greater than (Formula presented.) or the interarrival time between two consecutive shocks is less than δ, the efficiency of the system reduces by one unit. If (Formula presented.) denotes the number of shocks that have the magnitude greater than (Formula presented.) and (Formula presented.) demonstrates the number of the interarrival times between two consecutive shocks is less than δ while, (Formula presented.) as a results, the system loses its efficiency and fails. The system lifetime reliability function, the reliability of system lifetime in a perfectly functioning state and the reliability of system lifetime in partially working states have been calculated. The effect of critical points values on the reliability function of the system lifetime has been studied by using the simulation. © 2021 Taylor & Francis Group, LLC.
引用
收藏
页码：156 / 169
页数：13
相关论文
共 50 条
  • [31] Reliability of Poisson censored δ-shock model
    Ma, Ming
    Shi, Ailing
    Wang, Miaomiao
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2023, 52 (23) : 8501 - 8514
  • [32] A generalised shock model for software reliability
    Chatterjee, S
    Misra, RB
    Alam, SS
    COMPUTERS & ELECTRICAL ENGINEERING, 1998, 24 (05) : 363 - 368
  • [33] Reliability analysis of an extended shock model
    Poursaeed, Mohammad Hossein
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART O-JOURNAL OF RISK AND RELIABILITY, 2021, 235 (05) : 845 - 852
  • [34] Assessment of a multi-state system under a shock model
    Eryilmaz, Serkan
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 269 : 1 - 8
  • [35] Reliability analysis for competing failure processes with mutual dependence of the system under the cumulative shock
    Bian, Lina
    Wang, Guanjun
    2020 ASIA-PACIFIC INTERNATIONAL SYMPOSIUM ON ADVANCED RELIABILITY AND MAINTENANCE MODELING (APARM), 2020,
  • [36] A new model for the reliability-redundancy allocation problem with the mixed redundancy strategy
    Mahdavi-Nasab, Narges
    Ardakan, Mostafa Abouei
    Peiravi, Abdossaber
    JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2022, 92 (14) : 2956 - 2979
  • [37] RELIABILITY DESIGN OF A MIXED REDUNDANCY SYSTEM
    MISRA, KB
    KERNENERGIE, 1975, 18 (01): : 22 - 28
  • [38] Reliability assessment of competing risks with generalized mixed shock models
    Rafiee, Koosha
    Feng, Qianmei
    Coit, David W.
    RELIABILITY ENGINEERING & SYSTEM SAFETY, 2017, 159 : 1 - 11
  • [39] Structural Reliability Analysis under Mixed Uncertainties
    Xiao N.-C.
    Zhou C.-N.
    Zhang C.-L.
    Liu Z.-L.
    Dianzi Keji Daxue Xuebao/Journal of the University of Electronic Science and Technology of China, 2018, 47 (05): : 788 - 792
  • [40] Reliability and maintenance analysis of a degradation-threshold-shock model for a system in a dynamic environment
    Zhang, Nan
    Fouladirad, Mitra
    Barros, Anne
    Zhang, Jun
    APPLIED MATHEMATICAL MODELLING, 2021, 91 : 549 - 562
12345