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Comparison of three preventive maintenance warranty policies for products deteriorating with age and a time-varying covariate

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  • Zheng, Rui
  • Zhou, Yifan

Abstract

The development of condition monitoring technology initiates a new tendency towards incorporating condition-based maintenance (CBM) into warranty policies to reduce the manufacturer's expense over the warranty period. However, CBM is not always more cost-effective than time-based maintenance (TBM), or vice versa. This paper investigates three preventive maintenance (PM) policies for a product sold with a free repair warranty and examines under which situation each policy is optimal. The product deteriorates with both age and a time-varying covariate and its failure rate is described by Cox's proportional hazards model. The covariate can only be revealed by condition monitoring. In policy 1, no inspection is performed and PM actions are carried out periodically. Continuous inspection is performed in policy 2 where a PM action is recommended once continuing operation is not cost-effective. Policy 3 applies periodic inspection to select appropriate maintenance action at each inspection epoch. The warranty servicing costs are analyzed in the Markov decision process framework based on a discretization method. The policy structures of the CBM policies are proved to be of control-limit forms. A practical numerical example is provided to illustrate the proposed approach. The results can help the manufacturer design effective warranty policies.

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  • Zheng, Rui & Zhou, Yifan, 2021. "Comparison of three preventive maintenance warranty policies for products deteriorating with age and a time-varying covariate," Reliability Engineering and System Safety, Elsevier, vol. 213(C).
    • Handle: RePEc:eee:reensy:v:213:y:2021:i:c:s0951832021002143
    DOI: 10.1016/j.ress.2021.107676
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    1. Jackson, Canek & Pascual, Rodrigo, 2008. "Optimal maintenance service contract negotiation with aging equipment," European Journal of Operational Research, Elsevier, vol. 189(2), pages 387-398, September.
    2. Su, Chun & Wang, Xiaolin, 2016. "A two-stage preventive maintenance optimization model incorporating two-dimensional extended warranty," Reliability Engineering and System Safety, Elsevier, vol. 155(C), pages 169-178.
    3. Hu, Jiawen & Chen, Piao, 2020. "Predictive maintenance of systems subject to hard failure based on proportional hazards model," Reliability Engineering and System Safety, Elsevier, vol. 196(C).
    4. 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.
    5. Zhang, Chen & Gao, Wei & Yang, Tao & Guo, Sheng, 2019. "Opportunistic maintenance strategy for wind turbines considering weather conditions and spare parts inventory management," Renewable Energy, Elsevier, vol. 133(C), pages 703-711.
    6. Murthy, D. N. P. & Djamaludin, I., 2002. "New product warranty: A literature review," International Journal of Production Economics, Elsevier, vol. 79(3), pages 231-260, October.
    7. Alaswad, Suzan & Xiang, Yisha, 2017. "A review on condition-based maintenance optimization models for stochastically deteriorating system," Reliability Engineering and System Safety, Elsevier, vol. 157(C), pages 54-63.
    8. Wang, Yukun & Liu, Yiliu & Liu, Zixian & Li, Xiaopeng, 2017. "On reliability improvement program for second-hand products sold with a two-dimensional warranty," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 452-463.
    9. Zhang, Zhengxin & Si, Xiaosheng & Hu, Changhua & Lei, Yaguo, 2018. "Degradation data analysis and remaining useful life estimation: A review on Wiener-process-based methods," European Journal of Operational Research, Elsevier, vol. 271(3), pages 775-796.
    10. Xiang Wu & Sarah Ryan, 2010. "Value of condition monitoring for optimal replacement in the proportional hazards model with continuous degradation," IISE Transactions, Taylor & Francis Journals, vol. 42(8), pages 553-563.
    11. Zheng, Rui & Chen, Bingkun & Gu, Liudong, 2020. "Condition-based maintenance with dynamic thresholds for a system using the proportional hazards model," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    12. Liu, Bin & Liang, Zhenglin & Parlikad, Ajith Kumar & Xie, Min & Kuo, Way, 2017. "Condition-based maintenance for systems with aging and cumulative damage based on proportional hazards model," Reliability Engineering and System Safety, Elsevier, vol. 168(C), pages 200-209.
    13. Sayyideh Mehri Mousavi & Hesam Shams & Shahrzad Ahmadi, 2017. "Simultaneous optimization of repair and control-limit policy in condition-based maintenance," Journal of Intelligent Manufacturing, Springer, vol. 28(1), pages 245-254, January.
    14. Wang, Jingjing & Zhao, Xian & Guo, Xiaoxin, 2019. "Optimizing wind turbine's maintenance policies under performance-based contract," Renewable Energy, Elsevier, vol. 135(C), pages 626-634.
    15. Lijun Shang & Shubin Si & Shudong Sun & Tongdan Jin, 2018. "Optimal warranty design and post-warranty maintenance for products subject to stochastic degradation," IISE Transactions, Taylor & Francis Journals, vol. 50(10), pages 913-927, October.
    16. Yeh, Ruey Huei & Lo, Hui-Chiung, 2001. "Optimal preventive-maintenance warranty policy for repairable products," European Journal of Operational Research, Elsevier, vol. 134(1), pages 59-69, October.
    17. Shafiee, Mahmood & Finkelstein, Maxim & Bérenguer, Christophe, 2015. "An opportunistic condition-based maintenance policy for offshore wind turbine blades subjected to degradation and environmental shocks," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 463-471.
    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. Makis, Viliam & Wu, Jianmou & Gao, Yan, 2006. "An application of DPCA to oil data for CBM modeling," European Journal of Operational Research, Elsevier, vol. 174(1), pages 112-123, October.
    20. Giri, B.C. & Dohi, T., 2007. "Inspection scheduling for imperfect production processes under free repair warranty contract," European Journal of Operational Research, Elsevier, vol. 183(1), pages 238-252, November.
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    Cited by:

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    3. Li, Ting & He, Shuguang & Zhao, Xiujie, 2022. "Optimal warranty policy design for deteriorating products with random failure threshold," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    4. Duan, Chaoqun & Gong, Ting & Yan, Liangwen & Li, Xinmin, 2024. "Bi-level corrected residual life-based maintenance for deteriorating systems under competing risks," Reliability Engineering and System Safety, Elsevier, vol. 247(C).
    5. Xu, Gaowei & Azhari, Fae, 2022. "Data-driven optimization of repair schemes and inspection intervals for highway bridges," Reliability Engineering and System Safety, Elsevier, vol. 228(C).
    6. Liu, Peng & Wang, Guanjun, 2022. "Minimal repair models with non-negligible repair time," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    7. Liu, Peng & Wang, Guanjun, 2023. "Generalized non-renewing replacement warranty policy and an age-based post-warranty maintenance strategy," European Journal of Operational Research, Elsevier, vol. 311(2), pages 567-580.
    8. Huang, Yeu-Shiang & Fang, Chih-Chiang & Lu, Chang-Ming & (Bill) Tseng, Tzu-Liang, 2022. "Optimal Warranty Policy for Consumer Electronics with Dependent Competing Failure Processes," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    9. Ji, Ziguang & Chen, Yi & Ma, Xiaobing & Cai, Yikun & Yang, Li, 2024. "Hierarchical condition-based maintenance planning for corrosion process considering natural environmental impact," Reliability Engineering and System Safety, Elsevier, vol. 243(C).
    10. Ram Niwas & M. S. Kadyan, 2022. "A bi-objective inspection policy for a repairable engineering system with failure free warranty," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(2), pages 881-891, April.
    11. Chen, Liwei & Gao, Yansan & Dui, Hongyan & Xing, Liudong, 2021. "Importance measure-based maintenance optimization strategy for pod slewing system," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    12. 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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