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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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    4. Mingchih Chen & Xufeng Zhao & Toshio Nakagawa, 2019. "Replacement policies with general models," Annals of Operations Research, Springer, vol. 277(1), pages 47-61, June.
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    7. 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.
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