In this paper, a repairable multi-component system is studied where all the components can be repaired individually within the system. The whole system is inspected at inspection intervals and the failed components are detected and replaced with a new one, while the other components continue functioning. Replacing components individually within the system makes their initial age to be different at each inspection time. Different initial age of all the components have affect on the system reliability and probability of failure and consequently the optimal inspection time, which is for the whole system not individual components. A dynamic maintenance policy is proposed to find the next inspection time based on the initial age of all the components. Two competing failure processes of degradation and a shock process are considered for each component. In our paper, there is a mutual dependency between the degradation process and shock process. Each incoming shock adds additional abrupt damages on the cumulative degradation path of all the components, and the shock arrival process is affected by the system degradation process. A realistic numerical example is presented to illustrate the proposed reliability and maintenance model.

中文翻译：

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具有可修复组件的系统的动态维护策略受相互依赖的竞争故障过程影响

在本文中，研究了一个可修复的多组件系统，其中所有组件都可以在系统内单独修复。整个系统按检查间隔进行检查，检测出故障组件并更换新组件，而其他组件继续运行。在系统内单独更换组件会使它们在每次检查时的初始年龄不同。所有部件的不同初始年龄会影响系统的可靠性和故障概率，从而影响最佳检查时间，这是针对整个系统而不是单个部件。提出了一种动态维护策略，根据所有组件的初始年龄来寻找下一次检查时间。每个部件都考虑了退化和冲击过程这两个相互竞争的失效过程。在我们的论文中，退化过程和冲击过程之间存在相互依赖关系。每一次传入的冲击都会在所有部件的累积退化路径上增加额外的突然损坏，并且冲击到达过程受系统退化过程的影响。给出了一个现实的数值例子来说明所提出的可靠性和维护模型。