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Preventive replacement policies for parallel systems with deviation costs between replacement and failure

Author

Listed:
  • Xufeng Zhao

    (Nanjing University of Aeronautics and Astronautics)

  • Satoshi Mizutani

    (Aichi Institute of Technology)

  • Mingchih Chen

    (Fu Jen Catholic University)

  • Toshio Nakagawa

    (Aichi Institute of Technology)

Abstract

In order to balance the deviation time between replacement and failure, a new notion of cost named as deviation cost is taken into account for planning replacement policies. We firstly take up a standard parallel system with n identical units and model replacement policies that are done at planned time and at periodic times. Next, we model again the above replacement policies when the number of units is a random variable that has a Poisson distribution. Thirdly, replacement policies are planned preventively at the completion of random working times. Optimum number of units is scheduled for a total working interval that is constantly and randomly given. Finally, we give reliability functions of k-out-of-n systems for extensions of parallel systems. We give analytical discussions for the above replacement policies and illustrate numerical examples when the failure time of each unit has an exponential distribution.

Suggested Citation

  • Xufeng Zhao & Satoshi Mizutani & Mingchih Chen & Toshio Nakagawa, 2022. "Preventive replacement policies for parallel systems with deviation costs between replacement and failure," Annals of Operations Research, Springer, vol. 312(1), pages 533-551, May.
    • Handle: RePEc:spr:annopr:v:312:y:2022:i:1:d:10.1007_s10479-020-03791-6
    DOI: 10.1007/s10479-020-03791-6
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    References listed on IDEAS

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    1. Rui Peng & Qingqinq Zhai & Liudong Xing & Jun Yang, 2016. "Reliability analysis and optimal structure of series-parallel phased-mission systems subject to fault-level coverage," IISE Transactions, Taylor & Francis Journals, vol. 48(8), pages 736-746, August.
    2. Zhao, Xufeng & Al-Khalifa, Khalifa N. & Magid Hamouda, Abdel & Nakagawa, Toshio, 2017. "Age replacement models: A summary with new perspectives and methods," Reliability Engineering and System Safety, Elsevier, vol. 161(C), pages 95-105.
    3. Toshio Nakagawa, 2014. "Random Maintenance Policies," Springer Series in Reliability Engineering, Springer, edition 127, number 978-1-4471-6575-0, June.
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    5. 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.
    6. Mingchih Chen & Xufeng Zhao & Toshio Nakagawa, 2019. "Replacement policies with general models," Annals of Operations Research, Springer, vol. 277(1), pages 47-61, June.
    7. Toshio Nakagawa, 2008. "Advanced Reliability Models and Maintenance Policies," Springer Series in Reliability Engineering, Springer, number 978-1-84800-294-4, June.
    8. Hamidi, Maryam & Szidarovszky, Ferenc & Szidarovszky, Miklos, 2016. "New one cycle criteria for optimizing preventive replacement policies," Reliability Engineering and System Safety, Elsevier, vol. 154(C), pages 42-48.
    9. Ibrahim Yusuf, 2016. "Reliability modelling of a parallel system with a supporting device and two types of preventive maintenance," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 25(3), pages 269-287.
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    Cited by:

    1. Junyuan Wang & Xufeng Zhao & Jiawei Xiang, 2024. "Optimum design and replacement policies for k-out-of-n systems with deviation time and cost," Annals of Operations Research, Springer, vol. 340(1), pages 593-617, September.
    2. Shey-Huei Sheu & Tzu-Hsin Liu & Wei-Teng Sheu & Yu-Hung Chien & Zhe-George Zhang, 2024. "Extended replacement policy for a system under shocks effect," Annals of Operations Research, Springer, vol. 340(1), pages 507-530, September.

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