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Maintenance Optimization for Repairable Deteriorating Systems under Imperfect Preventive Maintenance

机译：不完全预防性维护下可修复劣化系统的维护优化

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摘要

This study deals with the preventive maintenance optimization problem based on a reliability threshold. The conditional reliability threshold is used instead of the system reliability threshold. Then, the difference between the two thresholds is discussed. The hybrid failure rate model is employed to represent the effect of imperfect preventive maintenance activities. Two maintenance strategies are proposed under two types of reliability constraints. These constraints are set to consider the cost-effective maintenance strategy and to evaluate the balancing point between the expected total maintenance cost rate and the system reliability. The objective of the proposed maintenance strategies is to determine the optimal conditional reliability threshold together with the optimal number of preventive maintenance activities that minimize the expected total maintenance cost per unit time. The optimality conditions of the proposed maintenance strategies are also investigated and shown via four propositions. A numerical example is provided to illustrate the proposed preventive maintenance strategies. Some sensitivity analyses are also conducted to investigate how the parameters of the proposed model affect the optimality of preventive maintenance strategies.
机译：本研究涉及基于可靠性阈值的预防性维护优化问题。使用条件可靠性阈值代替系统可靠性阈值。然后，讨论了两个阈值之间的差异。混合失败率模型用于代表不完美预防性维护活动的影响。在两种类型的可靠性限制下提出了两种维护策略。这些约束被设定为考虑经济有效的维护策略，并评估预期的总维护成本率和系统可靠性之间的平衡点。拟议维护策略的目的是确定最佳条件可靠性阈值以及最佳的预防性维护活动，最小化每单位时间的预期总维护成本。还通过四个命题研究了所提出的维护策略的最优性条件。提供了一个数字示例以说明所提出的预防性维护策略。还进行了一些敏感性分析，以研究所提出的模型的参数如何影响预防性维护策略的最优性。

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