Relative Ageing of Series and Parallel Systems with Statistically Independent and Heterogeneous Component Lifetimes

Chen Li, Xiaohu Li

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

This paper studies series and parallel systems with mutually statistically independent and heterogeneous component lifetimes. The system with homogeneous component lifetimes is proved to age relatively faster than that with component lifetimes following the proportional hazard rates (reversed hazard rates) model in terms of the reversed hazard rate (hazard rate). Sufficient conditions for the relative ageing order on systems with component lifetimes belonging to a scale family are developed as well.

Original languageEnglish
Article number7381697
Pages (from-to)1014-1021
Number of pages8
JournalIEEE Transactions on Reliability
Volume65
Issue number2
DOIs
StatePublished - Jun 2016

Keywords

  • Decreasing reversed hazard rate (DRHR)
  • Scale model
  • increasing hazard rate (IHR)
  • proportional hazard rates
  • proportional reversed hazard rates

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