This study develops an analytical model in order to determine an optimal integrated maintenance plan and spare parts management. We consider a manufacturing system, producing only one type of product, over a finite planning horizon H equal to the sum of all production periods and the production quantity of each period is known. This system is subject to a continuously increasing degradation rate. That is why a preventive maintenance strategy is adopted in order to face the increasing failure rate. We noted that contrarily to the majority of studies in literature, we take into account the impact of the production rate variation on the manufacturing system degradation and consequently on the adopted optimal maintenance strategy. In addition, the real need of spare parts relative to the scheduled maintenance actions is taken into account. In fact, the purpose of our study consists at determining the optimal preventive maintenance frequency and the optimal quantity of spare parts to order by minimizing a total cost, including maintenance and spare parts management. Numerical examples are presented along with a sensitivity study in order to prove the use of the developed model for deriving the optimal integrated strategy for any instance of the problem.

中文翻译：

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根据影响系统退化的可变生产率，对制造系统进行集成维护/备件管理

本研究开发了一个分析模型，以确定最佳的集成维护计划和备件管理。我们考虑一个制造系统，只生产一种类型的产品，在等于所有生产周期总和的有限计划范围 H 内，每个周期的生产数量是已知的。该系统受到不断增加的降解率的影响。这就是为什么采用预防性维护策略以应对不断增加的故障率。我们注意到，与文献中的大多数研究相反，我们考虑了生产率变化对制造系统退化的影响，从而对所采用的最佳维护策略产生了影响。此外，还考虑了与计划维护操作相关的备件的实际需求。实际上，我们研究的目的在于通过最小化总成本（包括维护和备件管理）来确定最佳预防性维护频率和最佳备件订购数量。数值示例与敏感性研究一起提供，以证明使用开发的模型为问题的任何实例推导出最佳集成策略。