In this study, a mechanical system with linear deterioration and preventive maintenance is considered. The state of the system over time is represented by a semicontinuous stochastic process with dependent components. The system cycles through on and off periods during its lifetime. The state of the system deteriorates linearly as a function of the usage time during on periods. When the system is offline, preventive maintenance is conducted, which improves the system state by a random amount. The system's on and off times and random improvement amounts are assumed to have general distributions. For such a system, our objective is to determine the expected value and variance for the number of preventive maintenance activities needed during the system lifetime and to propose a novel replacement policy for the system based on delay‐time modeling. Finally, the effectiveness of the obtained asymptotic results and the proposed replacement policy are tested through simulation.

中文翻译：

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使用具有相关分量的随机过程的线性恶化系统的新替换策略

在这项研究中，考虑了具有线性退化和预防性维护的机械系统。系统随时间的状态由具有相关分量的半连续随机过程表示。系统在其生命周期内在开启和关闭期间循环。系统的状态作为使用时间的函数在开启期间线性恶化。当系统离线时，进行预防性维护，随机改善系统状态。假设系统的开启和关闭时间以及随机改进量具有一般分布。对于这样的系统，我们的目标是确定系统生命周期内所需的预防性维护活动数量的预期值和方差，并基于延迟时间建模为系统提出一种新的更换策略。