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Optimal allocation of two redundancies in a n-component series system with proportional hazard rates lifetimes

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  • Jianbin Chen
  • Xiaoying Lai
  • Mengmeng Wang
  • Peng Zhao

Abstract

In this paper, we deal with the problem of optimally allocating two active [standby] redundancies in a series system consisting of n-components (n≥2) in the sense of the stochastic ordering. For the case of active redundancy, we establish two results associated with the likelihood ratio and reserved hazard rate orders in the setting of proportional hazard rates (PHR) model. For the case of standby redundancy, we also present some new ordering results under the exponential or PHR framework. The results established here generalize and strengthen corresponding ones in the recent literature. Numerical examples are also provided to explicate the theoretic results.

Suggested Citation

  • Jianbin Chen & Xiaoying Lai & Mengmeng Wang & Peng Zhao, 2022. "Optimal allocation of two redundancies in a n-component series system with proportional hazard rates lifetimes," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 51(9), pages 2748-2764, March.
    • Handle: RePEc:taf:lstaxx:v:51:y:2022:i:9:p:2748-2764
    DOI: 10.1080/03610926.2020.1779297
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