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Zhao, Fei; Xie, Fengfeng; Shi, Chenghua; Kang, Jianshe

A joint inspection-based preventive maintenance and spare ordering optimization policy using a three-stage failure process. (English) Zbl 1380.93058

Complexity 2017, Article ID 8319485, 19 p. (2017).
Summary: Separated decision-making for maintenance and spare ordering is unrealistic in the industry, so this paper aims to optimize them together. A joint policy of inspection-based preventive maintenance (PM) and spare ordering considering two modes of spare ordering, namely, a regular order and an emergency order, is proposed for single-unit systems using a three-stage failure process. If the system is recognized to be in the minor defective stage, the original inspection interval is shortened and a regular order is placed. However, replacement is undertaken preventively or correctively if the severe defective stage is identified or a failure occurs. Depending on the system state and the state of the regular ordered spare when replacement is needed, all possible scenarios are considered to construct optimization model \(I\). The decision variables are the optimal inspection interval and the times of shortening the original inspection interval. Additionally, model \(II\) on the basis of an assumption that the spare is always ordered at time 0 is also developed. The results from a numerical example illustrate the applicability and the effectiveness of model \(I\) compared to model \(II\), and the irregular inspection policy is validated to be cost-saving compared to the regular inspection policy.

MSC:

93A30 Mathematical modelling of systems (MSC2010)
90B30 Production models
49N90 Applications of optimal control and differential games
91B74 Economic models of real-world systems (e.g., electricity markets, etc.)

Keywords:

joint inspection-based preventive maintenance and spare ordering optimization policy; regular order; emergency order; three-stage failure process; inspection intervals
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References:

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