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Optimal burn-in and preventive maintenance warranty strategies with time-dependent maintenance costs

Author

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  • Mahmood Shafiee
  • Maxim Finkelstein
  • Ming Zuo

Abstract

This article considers the determination of the optimal burn-in time, the degree of preventive maintenance, and the preventive maintenance interval (or, equivalently, the number of preventive maintenance actions) for warranted products with time-dependent maintenance costs. The expected cost function is derived by adopting an appropriate age-reduction model and the determination of the optimal joint solution is discussed. Finally, the impact of providing a burn-in/preventive maintenance program is evaluated through numerical examples.

Suggested Citation

  • Mahmood Shafiee & Maxim Finkelstein & Ming Zuo, 2013. "Optimal burn-in and preventive maintenance warranty strategies with time-dependent maintenance costs," IISE Transactions, Taylor & Francis Journals, vol. 45(9), pages 1024-1033.
    • Handle: RePEc:taf:uiiexx:v:45:y:2013:i:9:p:1024-1033
    DOI: 10.1080/0740817X.2013.768784
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    Citations

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    Cited by:

    1. Lin, Zu-Liang & Huang, Yeu-Shiang & Fang, Chih-Chiang, 2015. "Non-periodic preventive maintenance with reliability thresholds for complex repairable systems," Reliability Engineering and System Safety, Elsevier, vol. 136(C), pages 145-156.
    2. Lijun Shang & Guojun Shang & Qingan Qiu, 2022. "A Bivariate Post-Warranty Maintenance Model for the Product under a 2D Warranty," Mathematics, MDPI, vol. 10(12), pages 1-18, June.
    3. Ji Hwan Cha & Maxim Finkelstein, 2020. "On optimal life extension for degrading systems," Journal of Risk and Reliability, , vol. 234(3), pages 487-495, June.
    4. Mohammadi, Faezeh & Izadi, Muhyiddin & Lai, Chin-Diew, 2016. "On testing whether burn-in is required under the long-run average cost," Statistics & Probability Letters, Elsevier, vol. 110(C), pages 217-224.
    5. 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.
    6. Mahmood Shafiee & Maxim Finkelstein, 2015. "A proactive group maintenance policy for continuously monitored deteriorating systems: Application to offshore wind turbines," Journal of Risk and Reliability, , vol. 229(5), pages 373-384, October.
    7. Shen, Jingyuan & Cui, Lirong & Ma, Yizhong, 2019. "Availability and optimal maintenance policy for systems degrading in dynamic environments," European Journal of Operational Research, Elsevier, vol. 276(1), pages 133-143.
    8. Zhi-Sheng Ye & Loon-Ching Tang & Min Xie, 2014. "Bi-objective burn-in modeling and optimization," Annals of Operations Research, Springer, vol. 212(1), pages 201-214, January.
    9. Liu, Bin & Wu, Jun & Xie, Min, 2015. "Cost analysis for multi-component system with failure interaction under renewing free-replacement warranty," European Journal of Operational Research, Elsevier, vol. 243(3), pages 874-882.
    10. Xiaofeng Wang & Shu Guo & Jian Shen & Yang Liu, 2020. "Optimization of preventive maintenance for series manufacturing system by differential evolution algorithm," Journal of Intelligent Manufacturing, Springer, vol. 31(3), pages 745-757, March.
    11. 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.
    12. Lucianne Varn & Stefanka Chukova & Richard Arnold, 2019. "A stochastic process for modeling failures of a system having a non-monotonic hazard rate function," Journal of Risk and Reliability, , vol. 233(5), pages 731-746, October.

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