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Optimal replacement policies for a system based on a one-cycle criterion

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Listed:
  • Sheu, Shey-Huei
  • Tsai, Hsin-Nan
  • Sheu, Uan-Yu
  • Zhang, Zhe George

Abstract

In this paper, we try to propose four replacement policies including general age replacement policy (GARP), replacement first policy (RFP), replacement last policy (RLP), and replacement next policy (RNP) for a system based on a one-cycle criterion. The system is subject to two kinds of failures whose probabilities are age-dependent. We use minimal repair to fix the Type I failure (minor failure) and we do replacement to remove the Type II failure (catastrophic failure). We formulate all mathematical models for four replacement policies and we also discuss the optimal schedules that minimize the expected cost rate in one replacement cycle analytically. We present an optimal computational algorithm to determine the four replacement policies. Finally, we give some numerical examples to fit our research and also compare the expected cost rate function between one-cycle criterion and the infinite horizon (renewal reward) assumptions under four replacement policies.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:reensy:v:191:y:2019:i:c:s0951832018305490
    DOI: 10.1016/j.ress.2019.106527
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    References listed on IDEAS

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    Cited by:

    1. 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).

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