Joint optimization of inspection and condition-based maintenance for a deteriorating product under extended warranty

Condition-based maintenance (CBM) has been widely applied in engineering practice, but it has been rarely integrated into extended warranty policies. When the inspection cost is high, it becomes important to schedule the inspection plan when making CBM decisions. This paper jointly optimizes inspect...

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Bibliographic Details
Published in:Reliability engineering & system safety 2024-05, Vol.245, p.110043, Article 110043
Main Authors: Zheng, Rui, Fang, Haojun, Hu, Chaoming
Format: Article
Language:English
Subjects:
Condition-based maintenance
Dynamic programming
Extended warranty
Gamma process
Joint optimization
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Summary:Condition-based maintenance (CBM) has been widely applied in engineering practice, but it has been rarely integrated into extended warranty policies. When the inspection cost is high, it becomes important to schedule the inspection plan when making CBM decisions. This paper jointly optimizes inspection and CBM for a deteriorating product under extended warranty. The deterioration of the product is characterized as a non-stationary gamma process. At each inspection epoch, the decision maker needs to determine whether to repair the product and when to perform the next inspection. The objective is to simultaneously optimize the inspection policy and the maintenance policy that minimize the warranty servicing cost. The joint optimization problem is formulated by stochastic dynamic programming. The optimal policy is proven to be of a control-limit form. A backward induction algorithm integrating the obtained structural properties is proposed to find the optimization results. A numerical example is conducted to illustrate the effectiveness of the proposed approach. A graphical representation of the obtained policy is provided to support practical maintenance implementation. The comparison with a popular CBM policy confirms the superiority of the proposed policy. •Joint optimization of inspection and CBM for product under extended warranty.•Formulation by stochastic dynamic programming based on a discretization method.•Exploration of structural properties of the optimal joint policy.•Development of a modified backward induction algorithm for optimization.•Graphical presentation of optimal policy for supporting warranty decision making.
ISSN:0951-8320
1879-0836
DOI:10.1016/j.ress.2024.110043