Optimal periodic maintenance policies for a parallel redundant system with component dependencies

Optimal periodic maintenance policies for a parallel redundant system with component dependencies
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具有组件依赖性的并行冗余系统的最优定期维护策略

DOI:
10.1016/j.cie.2019.106133
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发表时间:
2019-12
影响因子:
7.9
通讯作者:
Du Yangyang
Du Yangyang
中科院分区:
工程技术2区
文献类型:
--
作者:
Dong Wenjie;Liu Sifeng;Du Yangyang

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本文研究了一类具有随机依赖、结构依赖和经济依赖的并联冗余系统的修正定期维修策略,在以往的研究中很少同时考虑这三种依赖.更具体地说,随机依赖性建模时,多个外部冲击选择性地影响不同的组件,根据其大小,属性和功能,导致存在的共同原因故障。此外,结构相关性被认为是并行系统的包装和只是系统的预防性维护是可用的。最后,在建立预防性维修模型时引入了经济相关性,其中所有项目之间的更换成本是相关联的。基于冲击累积损伤理论和拉普拉斯变换,推导了系统的可靠性函数,提出了4种修正的定期维修策略,以期望维修费用率最小为目标,寻求最优的更换间隔。硅微机电系统(MEMS),这是由多个不相同的谐振器并联,一个说明性的例子,安排验证的理论结果,并考虑组件的依赖关系时,调度预防性维护策略的意义。
In this paper, we investigate modified periodic maintenance policies for a parallel redundant system with three types of dependencies including stochastic dependence, structural dependence, and economic dependence, where they are seldom taken into account simultaneously in previous researches. More specifically, the stochastic dependence is modelled when multiple external shocks selectively affect the distinct components according to their sizes, attributes, and functions, leading to the existence of common cause failure. In addition, the structural dependence is considered as the parallel system is packaged and just systematic preventive maintenance is available. Finally, the economic dependence is introduced when developing preventive maintenance models, where the replacement costs among all items are associated. System reliability function is derived analytically in terms of cumulative shock damage theory and Laplace transform, and then four modified periodic maintenance policies are developed, in which the expected maintenance cost rate is minimized to seek the optimal replacement interval. An illustrative example of a silicon micro-electro-mechanical system (MEMS), which is composed of multiple non-identical resonators in parallel, is arranged to validate the theoretical results and to show the significance of considering component dependencies when scheduling preventive maintenance policies.
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