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Optimization of a repairable deteriorating system subject to random threshold failure using preventive repair and stochastic lead time

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  • Sarada, Y.
  • Shenbagam, R.

Abstract

This paper presents a preventive repair / replace strategy for a repairable deteriorating system with stochastic lead time using phase type quasi-renewal processes. The aim of this study is to indicate improvement in the system performance when adopting preventive repair. Employing the standard results of the renewal reward process, an explicit expression for the long-run average cost rate and the operational availability of the system are derived to obtain an optimal replacement policy N* analytically, for the proposed model. Numerical illustrations are provided to show the effectiveness in the long-run average cost rate and operational availability, which depict the advantage of adopting a preventive repair with stochastic lead time.

Suggested Citation

  • Sarada, Y. & Shenbagam, R., 2021. "Optimization of a repairable deteriorating system subject to random threshold failure using preventive repair and stochastic lead time," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    • Handle: RePEc:eee:reensy:v:205:y:2021:i:c:s0951832020307298
    DOI: 10.1016/j.ress.2020.107229
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    References listed on IDEAS

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    1. Castro, I.T. & Pérez-Ocón, R., 2006. "Reward optimization of a repairable system," Reliability Engineering and System Safety, Elsevier, vol. 91(3), pages 311-319.
    2. Yu, Miaomiao & Tang, Yinghui & Liu, Liping & Cheng, Jiang, 2013. "A phase-type geometric process repair model with spare device procurement and repairman’s multiple vacations," European Journal of Operational Research, Elsevier, vol. 225(2), pages 310-323.
    3. Hashemi, M. & Asadi, M. & Zarezadeh, S., 2020. "Optimal maintenance policies for coherent systems with multi-type components," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
    4. Lam, Yeh, 2007. "A geometric process maintenance model with preventive repair," European Journal of Operational Research, Elsevier, vol. 182(2), pages 806-819, October.
    5. Y. Sarada & R. Shenbagam, 2018. "On a random lead time and threshold shock model using phase‐type geometric processes," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 34(3), pages 407-422, May.
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    Cited by:

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    2. Zhao, Xiujie & Chen, Piao & Lv, Shanshan & He, Zhen, 2023. "Reliability testing for product return prediction," European Journal of Operational Research, Elsevier, vol. 304(3), pages 1349-1363.
    3. Sun, Tianqi & Vatn, Jørn, 2024. "A phase-type maintenance model considering condition-based inspections and maintenance delays," Reliability Engineering and System Safety, Elsevier, vol. 243(C).

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