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A preventive maintenance policy with usage-dependent failure rate thresholds under two-dimensional warranties

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  • Shizhe Peng
  • Wei Jiang
  • Wenhui Zhao

Abstract

This article considers Preventive Maintenance (PM) under a two-dimensional (2-D) warranty contract with time and usage limits. From a manufacturer’s point of view, we develop a dynamic maintenance model with a random horizon to include the impact of random and dynamic usage rates on PM decisions. The model treats the cumulative amount of usage as a state variable that provides information about the failure rate and the expiration of the 2-D warranty. We characterize the optimal PM policy by a sequence of usage-dependent failure rate thresholds. Each threshold is a function of the cumulative usage. Our failure rate threshold policy chooses one of the following two actions in each period: performing perfect PM or no PM. Specifically, the manufacturer should bring the failure rate back to its original level when it exceeds the threshold in the corresponding period. This policy is also optimal under a constant usage rate. In the numerical experiments, we demonstrate the effectiveness of the proposed policy and conduct a sensitivity analysis to investigate how this policy is affected by the model parameters.

Suggested Citation

  • Shizhe Peng & Wei Jiang & Wenhui Zhao, 2021. "A preventive maintenance policy with usage-dependent failure rate thresholds under two-dimensional warranties," IISE Transactions, Taylor & Francis Journals, vol. 53(11), pages 1231-1243, November.
    • Handle: RePEc:taf:uiiexx:v:53:y:2021:i:11:p:1231-1243
    DOI: 10.1080/24725854.2020.1825879
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    Cited by:

    1. Peng, Shizhe & Jiang, Wei & Huang, Wenpo & Luo, Qinglin, 2024. "The impact of gamma usage processes on preventive maintenance policies under two-dimensional warranty," Reliability Engineering and System Safety, Elsevier, vol. 242(C).
    2. Wu, Shaomin, 2024. "A copula-based approach to modelling the failure process of items under two-dimensional warranty and applications," European Journal of Operational Research, Elsevier, vol. 314(3), pages 854-866.
    3. Peng, Shizhe & Jiang, Wei & Wei, Lai & Wang, Xiao-Lin, 2022. "A new cost-sharing preventive maintenance program under two-dimensional warranty," International Journal of Production Economics, Elsevier, vol. 254(C).
    4. Li, Ting & He, Shuguang & Zhao, Xiujie & Liu, Bin, 2023. "Warranty service contracts design for deteriorating products with maintenance duration commitments," International Journal of Production Economics, Elsevier, vol. 264(C).

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