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Comparisons of replacement policies with periodic times and repair numbers

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  • Zhao, Xufeng
  • Qian, Cunhua
  • Nakagawa, Toshio

Abstract

Periodic replacement policies modeled with the history of minimal repairs have been studied extensively. However, in the viewpoint of cost rate, there is no literature to compare replacement polices which are carried out at some periodic times and at a predetermined number of repairs. In this paper, we compare these two types of replacement policies analytically from the optimizations of the integrated models. It will be shown that there always exists a degradation model when any bivariate replacement policy is optimized and this is just the best choice of the comparisons. Not only that, the approaches of whichever occurs first and last are applied to model the above two types of policies, which are named as replacement first and replacement last, respectively, and their comparisons are also made. In addition, we delay the policy at repair to periodic time for easier replacement, and the modified replacement model, which is named as replacement overtime, is compared with the original ones. Numerical examples are also given and agree with all analytical discussions.

Suggested Citation

  • Zhao, Xufeng & Qian, Cunhua & Nakagawa, Toshio, 2017. "Comparisons of replacement policies with periodic times and repair numbers," Reliability Engineering and System Safety, Elsevier, vol. 168(C), pages 161-170.
    • Handle: RePEc:eee:reensy:v:168:y:2017:i:c:p:161-170
    DOI: 10.1016/j.ress.2017.05.015
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    References listed on IDEAS

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    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. Shang, Lijun & Liu, Baoliang & Qiu, Qingan & Yang, Li, 2023. "Three-dimensional warranty and post-warranty maintenance of products with monitored mission cycles," Reliability Engineering and System Safety, Elsevier, vol. 239(C).
    4. Wu, Shengna & Yang, Jun & Peng, Rui & Zhai, Qingqing, 2021. "Optimal design of facility allocation and maintenance strategy for a cellular network," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    5. Badía, F.G. & Berrade, M.D. & Lee, Hyunju, 2020. "An study of cost effective maintenance policies: Age replacement versus replacement after N minimal repairs," Reliability Engineering and System Safety, Elsevier, vol. 201(C).
    6. 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).
    7. 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.
    8. Badía, F.G. & Berrade, M.D. & Cha, Ji Hwan & Lee, Hyunju, 2018. "Optimal replacement policy under a general failure and repair model: Minimal versus worse than old repair," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 362-372.
    9. Wu, Shaomin & Do, Phuc, 2017. "Editorial," Reliability Engineering and System Safety, Elsevier, vol. 168(C), pages 1-3.
    10. Yuhan Ma & Fanping Wei & Xiaobing Ma & Qingan Qiu & Li Yang, 2024. "Adaptive Mission Abort Planning Integrating Bayesian Parameter Learning," Mathematics, MDPI, vol. 12(16), pages 1-19, August.
    11. 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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