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Minimal repair models with non-negligible repair time

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  • Liu, Peng
  • Wang, Guanjun

Abstract

In existing minimal repair models, it is usually supposed that the repair time of systems is negligible, and thus the occurrences of breakdowns obey non-homogeneous Poisson Process within a replacement interval. However, for the case that the mean working time of a system is not far longer than its mean repair time, ignoring repair time may lead to a large error in calculating the system long-run average cost rate. In this paper, taking random repair time into account, we generalize several calendar time-based minimal repair policies, including periodic replacement policy with minimal repair, reference time policy, and bivariate T−N maintenance policy. By using probability decomposition technique and indicator function method, the system long-run average cost rate under each minimal repair policy is gained explicitly. Various special cases are discussed. An application of the periodic replacement policy with minimal repair is presented in warranty field. Finally, a comprehensive sensitivity analysis is conducted to investigate the relative error on the long-run average cost rate caused by ignoring repair time, and to compare calendar time-based minimal repair policies with age-based minimal repair policies in terms of the long-run average cost rate.

Suggested Citation

  • Liu, Peng & Wang, Guanjun, 2022. "Minimal repair models with non-negligible repair time," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    • Handle: RePEc:eee:reensy:v:217:y:2022:i:c:s0951832021005500
    DOI: 10.1016/j.ress.2021.108046
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    1. Louzada, Francisco & Tomazella, Vera L.D. & Gonzatto, Oilson A. & Bochio, Gustavo & Milani, Eder A. & Ferreira, Paulo H. & Ramos, Pedro L., 2022. "Reliability assessment of repairable systems with series–parallel structure subjected to hierarchical competing risks under minimal repair regime," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    2. Mizutani, Daijiro & Nakazato, Yuto & Ikushima, Rie & Satsukawa, Koki & Kawasaki, Yosuke & Kuwahara, Masao, 2024. "Optimal intervention policy of emergency storage batteries for expressway transportation systems considering deterioration risk during lead time of replacement," Reliability Engineering and System Safety, Elsevier, vol. 242(C).
    3. Asadi, Majid, 2023. "On a parametric model for the mean number of system repairs with applications," Reliability Engineering and System Safety, Elsevier, vol. 234(C).

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