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Preventive maintenance optimization for a stochastically degrading system with a random initial age

Author

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  • Sidibe, I.B.
  • Khatab, A.
  • Diallo, C.
  • Kassambara, A.

Abstract

This paper investigates the optimal age replacement policy for used systems, such as second-hand products, which start their second life-cycle in a more severe environment with an initial age that is uncertain. This uncertain age is modelled as a random variable following continuous probability distributions. A mathematical model is developed to minimize the total expected cost per unit of time for these systems on an infinite time horizon. Optimality and existence conditions for a unique optimal solution are derived and used in a numerical procedure to solve the problem. Numerical experiments are provided to demonstrate the added value and the impacts of the random initial age on the optimal replacement policy.

Suggested Citation

  • Sidibe, I.B. & Khatab, A. & Diallo, C. & Kassambara, A., 2017. "Preventive maintenance optimization for a stochastically degrading system with a random initial age," Reliability Engineering and System Safety, Elsevier, vol. 159(C), pages 255-263.
    • Handle: RePEc:eee:reensy:v:159:y:2017:i:c:p:255-263
    DOI: 10.1016/j.ress.2016.11.018
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    1. Yeu-Shiang Huang & Chia Yen, 2009. "A study of two-dimensional warranty policies with preventive maintenance," IISE Transactions, Taylor & Francis Journals, vol. 41(4), pages 299-308.
    2. de Jonge, Bram & Klingenberg, Warse & Teunter, Ruud & Tinga, Tiedo, 2015. "Optimum maintenance strategy under uncertainty in the lifetime distribution," Reliability Engineering and System Safety, Elsevier, vol. 133(C), pages 59-67.
    3. Finkelstein, Maxim, 2009. "Virtual age of non-repairable objects," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 666-669.
    4. de Jonge, Bram & Dijkstra, Arjan S. & Romeijnders, Ward, 2015. "Cost benefits of postponing time-based maintenance under lifetime distribution uncertainty," Reliability Engineering and System Safety, Elsevier, vol. 140(C), pages 15-21.
    5. Zhang, Tieling & Xie, Min, 2011. "On the upper truncated Weibull distribution and its reliability implications," Reliability Engineering and System Safety, Elsevier, vol. 96(1), pages 194-200.
    6. Maxim Finkelstein, 2008. "Failure Rate Modelling for Reliability and Risk," Springer Series in Reliability Engineering, Springer, number 978-1-84800-986-8, December.
    7. Silver, Edward A. & Fiechter, Claude-Nicolas, 1995. "Preventive maintenance with limited historical data," European Journal of Operational Research, Elsevier, vol. 82(1), pages 125-144, April.
    8. Sidibé, I.B. & Khatab, A. & Diallo, C. & Adjallah, K.H., 2016. "Kernel estimator of maintenance optimization model for a stochastically degrading system under different operating environments," Reliability Engineering and System Safety, Elsevier, vol. 147(C), pages 109-116.
    9. Lo, Hui-Chiung & Yu, Rouh-Yun, 2013. "A study of quality management strategy for reused products," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 172-177.
    10. Haijun Li, 2005. "Stochastic Comparison of Age-Dependent Block Replacement Policies," Methodology and Computing in Applied Probability, Springer, vol. 7(4), pages 473-488, December.
    11. V. Daniel R. Guide, Jr. & Ruud H. Teunter & Luk N. Van Wassenhove, 2003. "Matching Demand and Supply to Maximize Profits from Remanufacturing," Manufacturing & Service Operations Management, INFORMS, vol. 5(4), pages 303-316, October.
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    Cited by:

    1. Santos, Augusto César de Jesus & Cavalcante, Cristiano Alexandre Virgínio & Wu, Shaomin, 2023. "Maintenance policies and models: A bibliometric and literature review of strategies for reuse and remanufacturing," Reliability Engineering and System Safety, Elsevier, vol. 231(C).
    2. Santos, Augusto César de Jesus & Cavalcante, Cristiano Alexandre Virginio & Ren, Junru & Wu, Shaomin, 2023. "A novel delay time modelling method for incorporating reuse actions in three-state single-component systems," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    3. de Jonge, Bram & Scarf, Philip A., 2020. "A review on maintenance optimization," European Journal of Operational Research, Elsevier, vol. 285(3), pages 805-824.

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