具有非周期检测时间的相依复合退化系统
A dependent complex degrading system with non-periodic inspection times
AI总结：
本文研究多退化过程相依且随机起始的系统，用伽马增量和非齐次泊松过程建模，推导可靠度及其界，并提出基于检测信息的动态检测策略，结合半再生过程分析维护成本。
摘要：
本文分析了一个受多个相依退化过程影响的系统。退化过程在随机时刻开始，遵循非齐次泊松过程，并随后相依地传播。这些退化过程的增长使用伽马增量进行建模。我们假设新过程到达系统会触发系统中已有过程的退化速率发生变化。在此框架下，得到了系统可靠度的解析表达式，并分析了系统可靠度的界。此外，系统在特定时刻接受检测。在这些检测时刻记录系统健康状态的信息，并在这些时刻做出是否对系统执行维护行动的决策。本文考虑了一种动态检测策略，因为在某个检测时刻获得的信息会被用于安排下一次检测时间。该系统的维护成本使用半再生过程进行处理。数值算例用于说明解析表达式。
英文摘要：
This paper analyses a system subject to multiple dependent degradation processes. Degradation processes start at random times following a non homogeneous Poisson process and next dependently propagate. The growth of these degradation processes is modeled using gamma increments. We assume that the arrival of a new process to the system triggers the degradation rate of the processes present in the system. Under this framework, the analytic expression of the system reliability is obtained and bounds of the system reliability are also analyzed. Furthermore, the system is inspected at certain times. Information on the system health is recorded at these inspection times and the decision on performing maintenance actions on the system is taken at these times. We consider in this paper a dynamic inspection policy since the information that becomes available in an inspection time is taken into account to schedule the next inspection time. The maintenance cost for this system is dealt with the use of semi-regenerative process. Numerical examples are performed to illustrate the analytic expressions.
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