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Optimal policies for cumulative damage models with maintenance last and first

机译：维护优先和维护优先的累积损坏模型的最佳策略

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摘要

From the economical viewpoint of several combined PM policies in reliability theory, this paper takes up a standard cumulative damage model in which the notion of maintenance last is applied, i.e., the unit undergoes preventive maintenances before failure at a planned time T, at a damage level Z, or at a shock number N, whichever occurs last. Expected cost rates are detailedly formulated, and optimal problems of two alternative policies which combine time-based with condition-based preventive maintenances are discussed, i.e., optimal T_L~* for N, Z_L~* for T, and N_L~* for T are rigorously obtained. Comparison methods between such maintenance last and conventional maintenance first are explored. It is determined theoretically and numerically which policy should be adopted, according to the different methods in different cases when the time-based or the condition-based PM policy is optimized.
机译：从可靠性理论中几种组合式PM策略的经济角度出发，本文采用了标准的累积损坏模型，在该模型中采用了“最后维护”的概念，即，单元在计划的时间T失效之前进行了预防性维护级别Z，或震荡次数N，以较晚者为准。详细阐述了预期的成本率，并讨论了将基于时间的预防性维护与基于时间的预防性维护相结合的两种替代策略的最优问题，即针对N的最优T_L〜*，针对T的最优Z_L〜*和针对T的N_L〜*严格获得。探索了这种最后维护与传统维护之间的比较方法。在优化基于时间或基于条件的PM策略时，根据不同情况下的不同方法，从理论和数值上确定应采用哪种策略。

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