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The generalized age maintenance policies with random working times

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  • Sheu, Shey-Huei
  • Liu, Tzu-Hsin
  • Zhang, Zhe-George
  • Tsai, Hsin-Nan

Abstract

The purpose of this paper is to investigate the generalized age maintenance policies for a system with random working times. When the system fails, it is subject to one of two types of failures with age-dependent probability: type I failure can be removed by minimal repair and type II failure must be rectified by replacement. First, the system is preventively replaced before type II failure at time T or at the completion of Nth working projects, whichever occurs first. Two modified models, where the system is preventively replaced before type II failure at time T or at the completion of Nth working projects, whichever occurs last, and it is preventively replaced at the first completion of the working project over time T or at the completion of Nth working projects, whichever occurs first, are considered. By introducing costs due to repairs, maintenance and replacement, the expected cost per unit time is derived as a criterion of optimality and the optimal policy that minimizes that cost is discussed analytically.

Suggested Citation

  • Sheu, Shey-Huei & Liu, Tzu-Hsin & Zhang, Zhe-George & Tsai, Hsin-Nan, 2018. "The generalized age maintenance policies with random working times," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 503-514.
    • Handle: RePEc:eee:reensy:v:169:y:2018:i:c:p:503-514
    DOI: 10.1016/j.ress.2017.09.003
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    References listed on IDEAS

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    Cited by:

    1. Sheu, Shey-Huei & Liu, Tzu-Hsin & Zhang, Zhe-George, 2019. "Extended optimal preventive replacement policies with random working cycle," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 398-415.
    2. Safaei, Fatemeh & Ahmadi, Jafar & Balakrishnan, N., 2019. "A repair and replacement policy for repairable systems based on probability and mean of profits," Reliability Engineering and System Safety, Elsevier, vol. 183(C), pages 143-152.
    3. Junyuan Wang & Jimin Ye & Qianru Ma & Pengfei Xie, 2022. "An extended geometric process repairable model with its repairman having vacation," Annals of Operations Research, Springer, vol. 311(1), pages 401-415, April.
    4. Xufeng Zhao & Mingchih Chen & Toshio Nakagawa, 2022. "Periodic replacement policies with shortage and excess costs," Annals of Operations Research, Springer, vol. 311(1), pages 469-487, April.
    5. Sheu, Shey-Huei & Tsai, Hsin-Nan & Sheu, Uan-Yu & Zhang, Zhe George, 2019. "Optimal replacement policies for a system based on a one-cycle criterion," Reliability Engineering and System Safety, Elsevier, vol. 191(C).
    6. Junyuan Wang & Jimin Ye & Liang Wang, 2022. "Extended age maintenance models and its optimization for series and parallel systems," Annals of Operations Research, Springer, vol. 312(1), pages 495-517, May.
    7. Fu, Yuqiang & Wang, Jun & Peng, Rui & Yang, Lechang & Meng, Xiaoyang, 2024. "Random-time component reallocation and system replacement policy with minimal repair," Reliability Engineering and System Safety, Elsevier, vol. 247(C).
    8. Sheu, Shey-Huei & Liu, Tzu-Hsin & Sheu, Wei-Teng & Zhang, Zhe-George & Ke, Jau-Chuan, 2021. "Optimal replacement policy with replacement last under cumulative damage models," Reliability Engineering and System Safety, Elsevier, vol. 209(C).
    9. 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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