Optimal maintenance policies for multi-level preventive maintenance with complex effects
Optimal maintenance policies for multi-level preventive maintenance with complex effects
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DOI：
10.1080/24725854.2018.1532135
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发表时间：
2019-04
影响因子：
2.6
通讯作者：
Yue Shi;Yisha Xiang;Mingyang Li
中科院分区：
文献类型：
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作者：
Yue Shi;Yisha Xiang;Mingyang Li
摘要研究了具有多级预防性维修的定期检测系统的最优维修问题，其效果是复杂的。每次检查时，维护决策都涉及是否需要预防性维护行动以及如果需要预防性维护，应选择哪个级别。目标是使包括检查和维护成本在内的总预期贴现成本最小化。我们制定了一个无限时域马尔可夫决策过程模型，并建立了充分条件，以确保存在一个最佳的单调控制限制型政策方面的系统的恶化程度和年龄。我们还数值上探讨了最优策略的结构，相对于两个额外的系统状态，最后一次维护行动的水平和时间，因为最后一次维护行动。利用实际路面老化数据进行了计算实验，结果表明，最优策略是典型的单调控制极限型。
Abstract We consider the problem of optimally maintaining a periodically inspected system with multi-level preventive maintenance whose effects are complex. At each inspection, the maintenance decision concerns whether a preventive maintenance action is needed and which level should be selected if preventive maintenance is desired. The objective is to minimize the total expected discounted cost including inspection and maintenance costs. We formulate an infinite-horizon Markov decision process model and establish sufficient conditions to ensure the existence of an optimal monotone control-limit type policy with respect to the system’s deterioration level and age. We also numerically explore the structure of the optimal policy with respect to two additional system states, the level of the last maintenance action and the time since the last maintenance action. Real-world pavement deterioration data is used in our computational experiments, and the results show that the optimal policy is typically of monotone control-limit type.