This article presents a stochastic dynamic programming model for a condition-based maintenance application. The approach seeks to determine the most opportune moment to inspect and execute preventive maintenance over each component of a nonredundant system, where the number of inspections to be performed simultaneously during each period is limited due to resource constraints. The model minimizes the total maintenance cost per unit of time, considering failure, maintenance, and inspection costs. Unlike most related literature, the model proposed herein allows nonperiodic inspections; it does not require to predefine a maintenance threshold and does not necessarily connect inspections to maintenance actions. Also, the criticality of each component is not static through time, or defined beforehand, but dynamically determined according to the available resources and the risk of failure. A numerical example illustrates the performance of the proposed model in comparison to three traditional maintenance models, namely corrective maintenance, age-based maintenance, and condition-based maintenance with periodic inspections. Results suggest that the proposed model yields the best solution among the studied policies and is more efficient, with a significant reduction of 90% in inspection resources.

中文翻译：

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包含检查次数资源约束的基于状态的维修模型

本文介绍了一种用于基于条件的维护应用程序的随机动态规划模型。该方法旨在确定对非冗余系统的每个组件进行检查和执行预防性维护的最佳时机，由于资源限制，在每个时间段内同时执行的检查数量有限。考虑到故障、维护和检查成本，该模型最小化了单位时间的总维护成本。与大多数相关文献不同，本文提出的模型允许非定期检查；它不需要预先定义维护阈值，也不一定将检查与维护操作联系起来。此外，每个组件的关键性不是随时间一成不变的，也不是预先定义的，而是根据可用资源和故障风险动态确定的。一个数值例子说明了所提出的模型与三种传统维护模型相比的性能，即纠正性维护、基于使用年限的维护和基于条件的定期检查维护。结果表明，所提出的模型在所研究的策略中产生了最佳解决方案，并且效率更高，检查资源显着减少了 90%。