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Modeling and analysis for a repairable system with multi-state components under K-mixed redundancy strategy

Author

Listed:
  • Yanqing Wen
  • Baoliang Liu
  • Zhiqiang Zhang
  • Haiyan Shi
  • Shugui Kang

Abstract

In this paper, a three components repairable system with K-mixed redundancy strategy is proposed, in which the lifetimes of components, the repair time of failure components and the vacation time are distributed with different phase-type (PH) distributions. The different phases can represent different operational levels, repair levels and vacation levels. The multiple vacation policy is also adopted so that the human resources can be fully utilized. The repairable system is studied in both transient and stationary regimes with the matrix-analytic method, and not only some traditional reliability indexes are obtained, but also several new reliability indexes are obtained by employing Kronecker operator theory and aggregated stochastic theory. Finally, a numerical example is implemented to illustrate the results obtained in the paper.

Suggested Citation

  • Yanqing Wen & Baoliang Liu & Zhiqiang Zhang & Haiyan Shi & Shugui Kang, 2024. "Modeling and analysis for a repairable system with multi-state components under K-mixed redundancy strategy," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 53(2), pages 748-764, January.
    • Handle: RePEc:taf:lstaxx:v:53:y:2024:i:2:p:748-764
    DOI: 10.1080/03610926.2022.2158346
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