Reliability modelling for systems degrading in Markovian environments with protective auxiliary components

IF 1.7 4区 工程技术 Q3 ENGINEERING, INDUSTRIAL
Jingyuan Shen, Jiahui Xu, Yao Duan, Fengxia Zhang, Yizhong Ma
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引用次数: 0

Abstract

Systems with dependent main and auxiliary components have been extensively investigated in the reliability field recently, but the influence of the changing environment has been less taken into consideration. Motivated by some real applications, when the protective auxiliary component fails, the degradation/failure rate of the main component varies as it is exposed to different environments. To bridge the gap between research and practice, in this paper the influences of the dynamic environments and the component dependencies are both incorporated to develop a new reliability model for systems with main and auxiliary components. A continuous-time homogeneous Markov process is used to model the evolution of the environments. When the auxiliary component works, it could protect the main component from the negative impact of the environment. Once the auxiliary component fails, the main component would degrade at different rates according to different environment states. Based on the proposed model, first the reliability of the system is derived in a recursive way. Besides, an opportunistic inspection and maintenance policy is designed for the system, and some important indexes such as the limiting average availability and the long-run average cost are derived. Finally, through numerical examples, the applicability of the proposed model and sensitivity analysis of the model parameters are discussed.
带保护性辅助部件的马尔可夫环境中退化系统的可靠性建模
近来,可靠性领域对主要部件和辅助部件相互依赖的系统进行了广泛研究,但对环境变化的影响考虑较少。在一些实际应用中,当保护性辅助部件失效时,主要部件的退化/失效率会随着暴露在不同环境中而变化。为了缩小研究与实践之间的差距,本文将动态环境的影响和组件的依赖性都考虑在内,为带有主组件和辅助组件的系统建立了一个新的可靠性模型。该模型采用连续时间均质马尔可夫过程来模拟环境的演变。当辅助组件工作时,它可以保护主组件免受环境的负面影响。一旦辅助组件失效,主组件将根据不同的环境状态以不同的速度退化。根据所提出的模型,首先以递归方式推导出系统的可靠性。此外,还为系统设计了一种机会性检查和维护策略,并得出了一些重要指标,如极限平均可用性和长期平均成本。最后,通过数值实例讨论了所提模型的适用性和模型参数的敏感性分析。
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来源期刊
CiteScore
4.50
自引率
19.00%
发文量
81
审稿时长
6-12 weeks
期刊介绍: The Journal of Risk and Reliability is for researchers and practitioners who are involved in the field of risk analysis and reliability engineering. The remit of the Journal covers concepts, theories, principles, approaches, methods and models for the proper understanding, assessment, characterisation and management of the risk and reliability of engineering systems. The journal welcomes papers which are based on mathematical and probabilistic analysis, simulation and/or optimisation, as well as works highlighting conceptual and managerial issues. Papers that provide perspectives on current practices and methods, and how to improve these, are also welcome
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