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Relative Aging of Coherent Systems

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  • Weiyong Ding
  • Rui Fang
  • Peng Zhao

Abstract

In this article, we carry out the stochastic comparison between coherent systems through the relative aging order when component lifetimes are independent and identically distributed. We make use of the signature to characterize the structure of coherent systems, and derive several sufficient conditions under which the compared systems with the common size can be ordered in the sense of relative aging. Specially, we present some scenarios wherein the better a coherent system is, the faster it ages. Moreover, we discuss the relative aging of dual systems as well. Several numerical examples are provided to illustrate the theoretical results. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 345–354, 2017

Suggested Citation

  • Weiyong Ding & Rui Fang & Peng Zhao, 2017. "Relative Aging of Coherent Systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(4), pages 345-354, June.
    • Handle: RePEc:wly:navres:v:64:y:2017:i:4:p:345-354
    DOI: 10.1002/nav.21752
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    Cited by:

    1. Neeraj Misra & Jisha Francis, 2018. "Relative aging of (n − k + 1)‐out‐of‐n systems based on cumulative hazard and cumulative reversed hazard functions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(6-7), pages 566-575, September.

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