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A two-dimensional preventive maintenance strategy for items sold with warranty

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  • Xiaolin Wang
  • Chun Su

Abstract

Conventional preventive maintenance (PM) strategies under two-dimensional (2D) warranties are usually age-based or usage-based, which means that the implementation of PM activities is based solely on item age or usage. In this paper, a new PM strategy, called 2D PM strategy, is proposed for items sold with a 2D warranty. Under this strategy, the item is preventively maintained every K units of age or L units of usage, whichever occurs first. The marginal approach is used to describe the effect of age and usage on item reliability by treating usage as a random function of age. Besides, the effect of PM is characterised by the reduction of virtual age. The objective of this study is to identify the optimal 2D PM strategy under fixed warranty terms so as to minimise the total expected warranty servicing cost from the manufacturer’s perspective. A numerical example is provided to demonstrate the effectiveness of the proposed PM strategy. It is shown that the 2D PM strategy contains the age-based and usage-based strategies as special cases, and outperforms them in terms of warranty servicing cost. Finally, how to implement the proposed PM strategy in practice is discussed with an illustrative case.

Suggested Citation

  • Xiaolin Wang & Chun Su, 2016. "A two-dimensional preventive maintenance strategy for items sold with warranty," International Journal of Production Research, Taylor & Francis Journals, vol. 54(19), pages 5901-5915, October.
    • Handle: RePEc:taf:tprsxx:v:54:y:2016:i:19:p:5901-5915
    DOI: 10.1080/00207543.2016.1187314
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    Cited by:

    1. Zhao, Heng & Liu, Zixian & Li, Mei & Liang, Lijun, 2022. "Optimal monitoring policies for chronic diseases under healthcare warranty," Socio-Economic Planning Sciences, Elsevier, vol. 84(C).
    2. 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).
    3. Zhao, Xiujie & He, Shuguang & Xie, Min, 2018. "Utilizing experimental degradation data for warranty cost optimization under imperfect repair," Reliability Engineering and System Safety, Elsevier, vol. 177(C), pages 108-119.
    4. Tong Peng & Liu Chunling, 2020. "Designing differential service strategy for two-dimensional warranty based on warranty claim data under consumer-side modularisation," Journal of Risk and Reliability, , vol. 234(3), pages 550-561, June.
    5. Wang, Xin & Xie, Wei & Ye, Zhi-Sheng & Tang, Loon-Ching, 2017. "Aggregate discounted warranty cost forecasting considering the failed-but-not-reported events," Reliability Engineering and System Safety, Elsevier, vol. 168(C), pages 355-364.
    6. Chun Su & Longfei Cheng, 2019. "Two-dimensional preventive maintenance optimum for equipment sold with availability-based warranty," Journal of Risk and Reliability, , vol. 233(4), pages 648-657, August.
    7. Rui Zheng & Chun Su & Yuqiao Zheng, 2020. "Two-stage flexible warranty decision-making considering downtime loss," Journal of Risk and Reliability, , vol. 234(3), pages 527-535, June.
    8. Xiaolin Wang & Wei Xie, 2018. "Two-dimensional warranty: A literature review," Journal of Risk and Reliability, , vol. 232(3), pages 284-307, June.
    9. Wei Xie, 2017. "Optimal pricing and two-dimensional warranty policies for a new product," International Journal of Production Research, Taylor & Francis Journals, vol. 55(22), pages 6857-6870, November.
    10. Liu, Peng & Wang, Guanjun, 2022. "Minimal repair models with non-negligible repair time," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    11. 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).
    12. Anshu Dai & Guanzhou Wei & Zhaomin Zhang & Shuguang He, 2020. "Design of a flexible preventive maintenance strategy for two-dimensional warranted products," Journal of Risk and Reliability, , vol. 234(1), pages 74-87, February.
    13. Safaei, Fatemeh & Taghipour, Sharareh, 2022. "Optimal preventive maintenance for repairable products with three types of failures sold under a renewable hybrid FRW/PRW policy," Reliability Engineering and System Safety, Elsevier, vol. 223(C).
    14. Wang, Xiaolin & Li, Lishuai & Xie, Min, 2020. "An unpunctual preventive maintenance policy under two-dimensional warranty," European Journal of Operational Research, Elsevier, vol. 282(1), pages 304-318.
    15. Liu, Peng & Wang, Guanjun & Su, Peng, 2021. "Optimal maintenance strategies for warranty products with limited repair time and limited repair number," Reliability Engineering and System Safety, Elsevier, vol. 210(C).
    16. Wang, Jinting & Zhou, Zhuang & Peng, Hao, 2017. "Flexible decision models for a two-dimensional warranty policy with periodic preventive maintenance," Reliability Engineering and System Safety, Elsevier, vol. 162(C), pages 14-27.
    17. Huang, Yeu-Shiang & Ho, Jyh-Wen & Hung, Jin-Wei & Tseng, Tzu-Liang (Bill), 2021. "A customized warranty model by considering multi-usage levels for the leasing industry," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    18. de Jonge, Bram & Scarf, Philip A., 2020. "A review on maintenance optimization," European Journal of Operational Research, Elsevier, vol. 285(3), pages 805-824.
    19. Yukun Wang & Yiliu Liu & Aibo Zhang, 2019. "Preventive maintenance optimization for repairable products considering two-dimensional warranty and customer satisfaction," Journal of Risk and Reliability, , vol. 233(4), pages 553-566, August.

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