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On allocating redundancies to k‐out‐of‐ n reliability systems

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  • Yinping You
  • Xiaohu Li

Abstract

For two components in series and one redundancy with their lifetimes following the proportional hazard models, we build the likelihood ratio order and the hazard rate order for lifetimes of the redundant systems. Also, for k‐out‐of‐ n system with components’ lifetimes having the arrangement increasing joint density and the redundancies having identically distributed lifetimes, allocating more redundancies to weaker components is shown to help improve the system's reliability. Copyright © 2014 John Wiley & Sons, Ltd.

Suggested Citation

  • Yinping You & Xiaohu Li, 2014. "On allocating redundancies to k‐out‐of‐ n reliability systems," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 30(3), pages 361-371, May.
    • Handle: RePEc:wly:apsmbi:v:30:y:2014:i:3:p:361-371
    DOI: 10.1002/asmb.2032
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    Cited by:

    1. Kamyar Sabri-Laghaie & Milad Eshkevari & Mahdi Fathi & Enrico Zio, 2019. "Redundancy allocation problem in a bridge system with dependent subsystems," Journal of Risk and Reliability, , vol. 233(4), pages 658-669, August.
    2. Navarro, Jorge & Arriaza, Antonio & Suárez-Llorens, Alfonso, 2019. "Minimal repair of failed components in coherent systems," European Journal of Operational Research, Elsevier, vol. 279(3), pages 951-964.
    3. Yinping You & Xiaohu Li & Rui Fang, 2021. "On coverage limits and deductibles for SAI loss severities," Annals of Operations Research, Springer, vol. 297(1), pages 341-357, February.
    4. Torrado, Nuria & Arriaza, Antonio & Navarro, Jorge, 2021. "A study on multi-level redundancy allocation in coherent systems formed by modules," Reliability Engineering and System Safety, Elsevier, vol. 213(C).

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