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An extended geometric process repair model with delayed repair and slight failure type

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  • Yuan-Lin Zhang
  • Guan-Jun Wang

Abstract

This article proposes an extended geometric process repair model to generalize the geometric process repair model and studies a repair-replacement problem for a simple repairable system with delayed repair, based on the failure number N of the system under the new model. An optimal replacement policy N* is determined by maximizing the average reward rate of the system. The explicit expression of the average reward rate is derived, and the uniqueness of the optimal replacement policy N* is also proved. Finally, a numerical example is given to illustrate some theoretical results and the model applicability.

Suggested Citation

  • Yuan-Lin Zhang & Guan-Jun Wang, 2017. "An extended geometric process repair model with delayed repair and slight failure type," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(1), pages 427-437, January.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:1:p:427-437
    DOI: 10.1080/03610926.2014.995824
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    Cited by:

    1. Miaomiao Yu & Yinghui Tang, 2024. "Analyze periodic inspection and replacement policy of a shock and wear model with phase-type inter-shock arrival times using roots method," Journal of Risk and Reliability, , vol. 238(2), pages 233-246, April.
    2. Liu, Peng & Wang, Guanjun, 2022. "Minimal repair models with non-negligible repair time," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    3. Arnold, Richard & Chukova, Stefanka & Hayakawa, Yu & Marshall, Sarah, 2020. "Geometric-Like Processes: An Overview and Some Reliability Applications," Reliability Engineering and System Safety, Elsevier, vol. 201(C).
    4. Mingjuan Sun & Qinglai Dong & Zihan Gao, 2022. "An Imperfect Repair Model with Delayed Repair under Replacement and Repair Thresholds," Mathematics, MDPI, vol. 10(13), pages 1-15, June.
    5. Junyuan Wang & Jimin Ye & Qianru Ma & Pengfei Xie, 2022. "An extended geometric process repairable model with its repairman having vacation," Annals of Operations Research, Springer, vol. 311(1), pages 401-415, April.

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