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

Authors

  • Yinping You,

    1. School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
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  • Xiaohu Li

    Corresponding author
    1. Department of Mathematics, University of New Orleans, New Orleans 70148, USA
    2. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
    • Correspondence to: Xiaohu Li, School of Mathematical Sciences, Xiamen University, Xiamen 361005, China.

      E-mail: mathxhli@hotmail.com

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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.

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