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Opportunistic maintenance for two-component series systems subject to dependent degradation and shock

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  • Hu, Jiawen
  • Shen, Jingyuan
  • Shen, Lijuan

Abstract

This work studies a maintenance policy for a system consisting of two independent and identical components in series, where each component is subject to dependent degradation and fatal shock. We use a Wiener process to model the degradation, and assume that the shock rate is an increasing function of the degradation level. To utilize the economic dependence between two components, we propose an inspection/replacement opportunistic maintenance (OM) policy. A replacement is carried out to the component of which the degradation exceeds a preventive maintenance (PM) threshold at an inspection, or a fatal shock occurs. Whenever a replacement is carried out, the other component will be replaced if its degradation exceeds an OM threshold. The optimal combination of the inspection interval, OM and PM thresholds are jointly determined by minimizing the long-run average cost, which is formulated based on the semi-regenerative properties of the system state. A numerical study is provided to demonstrate the maintenance policy.

Suggested Citation

  • Hu, Jiawen & Shen, Jingyuan & Shen, Lijuan, 2020. "Opportunistic maintenance for two-component series systems subject to dependent degradation and shock," Reliability Engineering and System Safety, Elsevier, vol. 201(C).
    • Handle: RePEc:eee:reensy:v:201:y:2020:i:c:s0951832020304968
    DOI: 10.1016/j.ress.2020.106995
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    as
    1. 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).
    2. Jiawen Hu & Zuhua Jiang & Haitao Liao, 2017. "Preventive maintenance of a batch production system under time-varying operational condition," International Journal of Production Research, Taylor & Francis Journals, vol. 55(19), pages 5681-5705, October.
    3. Khac Tuan Huynh & Anne Barros & Christophe Bérenguer & Inma T. Castro, 2011. "A periodic inspection and replacement policy for systems subject to competing failure modes due to degradation and traumatic events," Post-Print hal-00790728, HAL.
    4. Xiujie Zhao & Olivier Gaudoin & Laurent Doyen & Min Xie, 2019. "Optimal inspection and replacement policy based on experimental degradation data with covariates," IISE Transactions, Taylor & Francis Journals, vol. 51(3), pages 322-336, March.
    5. Huynh, K.T. & Barros, A. & Bérenguer, C. & Castro, I.T., 2011. "A periodic inspection and replacement policy for systems subject to competing failure modes due to degradation and traumatic events," Reliability Engineering and System Safety, Elsevier, vol. 96(4), pages 497-508.
    6. Laggoune, Radouane & Chateauneuf, Alaa & Aissani, Djamil, 2010. "Impact of few failure data on the opportunistic replacement policy for multi-component systems," Reliability Engineering and System Safety, Elsevier, vol. 95(2), pages 108-119.
    7. Huynh, K.T., 2020. "Modeling past-dependent partial repairs for condition-based maintenance of continuously deteriorating systems," European Journal of Operational Research, Elsevier, vol. 280(1), pages 152-163.
    8. Jingyuan Shen & Jiawen Hu & Zhi-Sheng Ye, 2020. "Optimal switching policy for warm standby systems subjected to standby failure mode," IISE Transactions, Taylor & Francis Journals, vol. 52(11), pages 1262-1274, November.
    9. Zhou, Xiaojun & Yu, Mengqi, 2020. "Semi-dynamic maintenance scheduling for multi-station series systems in multi-specification and small-batch production," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
    10. Rommert Dekker & Ralph Wildeman & Frank Duyn Schouten, 1997. "A review of multi-component maintenance models with economic dependence," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 45(3), pages 411-435, October.
    11. Gao, Hongda & Cui, Lirong & Kong, Dejing, 2018. "Reliability analysis for a Wiener degradation process model under changing failure thresholds," Reliability Engineering and System Safety, Elsevier, vol. 171(C), pages 1-8.
    12. 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.
    13. Hao Peng & Qianmei Feng & David Coit, 2010. "Reliability and maintenance modeling for systems subject to multiple dependent competing failure processes," IISE Transactions, Taylor & Francis Journals, vol. 43(1), pages 12-22.
    14. Zhi‐Sheng Ye & Min Xie, 2015. "Rejoinder to ‘Stochastic modelling and analysis of degradation for highly reliable products’," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 31(1), pages 35-36, January.
    15. Gao, Hongda & Cui, Lirong & Qiu, Qingan, 2019. "Reliability modeling for degradation-shock dependence systems with multiple species of shocks," Reliability Engineering and System Safety, Elsevier, vol. 185(C), pages 133-143.
    16. Zhiyong Jin & Liqun Wang, 2017. "First Passage Time for Brownian Motion and Piecewise Linear Boundaries," Methodology and Computing in Applied Probability, Springer, vol. 19(1), pages 237-253, March.
    17. Zhao, Xian & Wang, Siqi & Wang, Xiaoyue & Fan, Yu, 2020. "Multi-state balanced systems in a shock environment," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    18. Zhi‐Sheng Ye & Min Xie, 2015. "Stochastic modelling and analysis of degradation for highly reliable products," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 31(1), pages 16-32, January.
    19. Caballé, N.C. & Castro, I.T. & Pérez, C.J. & Lanza-Gutiérrez, J.M., 2015. "A condition-based maintenance of a dependent degradation-threshold-shock model in a system with multiple degradation processes," Reliability Engineering and System Safety, Elsevier, vol. 134(C), pages 98-109.
    20. 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.
    21. 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.
    22. Koosha Rafiee & Qianmei Feng & David Coit, 2014. "Reliability modeling for dependent competing failure processes with changing degradation rate," IISE Transactions, Taylor & Francis Journals, vol. 46(5), pages 483-496.
    23. Che, Haiyang & Zeng, Shengkui & Guo, Jianbin & Wang, Yao, 2018. "Reliability modeling for dependent competing failure processes with mutually dependent degradation process and shock process," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 168-178.
    24. Qingan Qiu & Lirong Cui & Dejing Kong, 2019. "Availability and maintenance modeling for a two-component system with dependent failures over a finite time horizon," Journal of Risk and Reliability, , vol. 233(2), pages 200-210, April.
    25. Olde Keizer, Minou C.A. & Flapper, Simme Douwe P. & Teunter, Ruud H., 2017. "Condition-based maintenance policies for systems with multiple dependent components: A review," European Journal of Operational Research, Elsevier, vol. 261(2), pages 405-420.
    26. Fan, Mengfei & Zeng, Zhiguo & Zio, Enrico & Kang, Rui, 2017. "Modeling dependent competing failure processes with degradation-shock dependence," Reliability Engineering and System Safety, Elsevier, vol. 165(C), pages 422-430.
    27. Akram Khaleghei & Viliam Makis, 2016. "Reliability estimation of a system subject to condition monitoring with two dependent failure modes," IISE Transactions, Taylor & Francis Journals, vol. 48(11), pages 1058-1071, November.
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