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Optimal maintenance strategy under renewable warranty with repair time threshold

机译：具有可修复时间阈值的可再生保修下的最佳维护策略

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摘要

In this paper, we consider a periodic preventive maintenance model, from the manufacturer's perspective, which can be implemented to reduce the maintenance cost of a repairable product during a given warranty period. The product is assumed to deteriorate with age and the warranty policy we adopt in this paper takes into account the two factors of failure time and repair time of the product when the product failure occurs. Under the proposed two-factor warranty, a repair time threshold is pre-determined and if the repair takes more time than that of the threshold, the failed product is replaced with a renewed warranty policy. Otherwise, the product is only minimally repaired to return to the operating state. During such a renewable warranty period, preventive maintenance is conducted to reduce the rate of degradation periodically while the product is in operation. By assuming certain cost structures, we formulate the expected warranty cost during the warranty period from the manufacturer's perspective when a periodic preventive maintenance strategy is adapted. Although more frequent preventive maintenance increases the warranty cost, the chance of product failures would be reduced. The main aim of this paper is to accomplish the optimal trade-off between the warranty cost and the preventive maintenance period by determining the optimal preventive maintenance period that minimizes the total expected warranty cost during the warranty period. Assuming the power law process for the product failures, we illustrate our proposed maintenance model numerically and study the impact of relevant parameters on the optimal preventive maintenance policy.
机译：在本文中，我们从制造商的角度考虑了一种定期预防性维护模型，该模型可用于降低给定保修期内可维修产品的维护成本。假定产品会随着时间而老化，并且本文采用的保修政策考虑了产品出现故障时产品的故障时间和维修时间这两个因素。在建议的两因素保修下，维修时间阈值是预先确定的，如果维修花费的时间超过阈值，则将有故障的产品替换为新的保修政策。否则，只能对产品进行最少的修复以使其恢复到运行状态。在可更新的保修期内，进行预防性维护以定期降低产品运行期间的降级速度。通过采用某些成本结构，我们从制造商的角度出发，采用定期预防性维护策略时，可以制定保修期内的预期保修成本。尽管更频繁的预防性维护会增加保修成本，但会减少产品出现故障的机会。本文的主要目的是通过确定最佳的预防性维护周期，以使保修期内的总预期担保成本最小，从而在保修成本和预防性维护周期之间达成最佳平衡。假设针对产品故障的幂律过程，我们通过数值方式说明了我们提出的维护模型，并研究了相关参数对最佳预防性维护策略的影响。

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