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Preventive replacement policies with products update announcements

Author

Listed:
  • Satoshi Mizutani
  • Wenjie Dong
  • Xufeng Zhao
  • Toshio Nakagawa

Abstract

When we consider the improvement of the functional performances that are released by the new updates of the products, it is an interesting problem to revisit the existing replacement policies. For such a viewpoint, four replacement models with product update announcements, i.e., PUA for abbreviation, are given in this paper: Model 1, the unit is replaced at time T or at PUA over time T. Model 2, the unit is replaced at the Kth failure or at PUA over the Kth failure. By considering both time T and failure K, Models 3 and 4 are obtained based on the approaches of replacement first and last. We obtain the expected cost rates for four models and discuss analytically their optimal replacement policies Further, numerical examples are given when the time for PUA has an exponential distribution.

Suggested Citation

  • Satoshi Mizutani & Wenjie Dong & Xufeng Zhao & Toshio Nakagawa, 2020. "Preventive replacement policies with products update announcements," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(15), pages 3821-3833, August.
    • Handle: RePEc:taf:lstaxx:v:49:y:2020:i:15:p:3821-3833
    DOI: 10.1080/03610926.2019.1710762
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    Citations

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    Cited by:

    1. Levitin, Gregory & Xing, Liudong & Dai, Yanshun, 2021. "Joint optimal mission aborting and replacement and maintenance scheduling in dual-unit standby systems," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    2. Mizutani, Satoshi & Zhao, Xufeng & Nakagawa, Toshio, 2021. "Age and periodic replacement policies with two failure modes in general replacement models," Reliability Engineering and System Safety, Elsevier, vol. 214(C).
    3. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2021. "Optimal operation and maintenance scheduling in m-out-of-n standby systems with reusable elements," Reliability Engineering and System Safety, Elsevier, vol. 211(C).
    4. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2021. "Influence of storage on mission success probability of m-out-of-n standby systems with reusable elements," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    5. Levitin, Gregory & Xing, Liudong & Dai, Yanshun, 2022. "Minimum cost replacement and maintenance scheduling in dual-dissimilar-unit standby systems," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    6. Levitin, Gregory & Xing, Liudong & Xiang, Yanping, 2021. "Optimal multiple replacement and maintenance scheduling in two-unit systems," Reliability Engineering and System Safety, Elsevier, vol. 213(C).

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