A load-capacity interference model for common-mode failures in 1-out-of-2: G systems

E. E. Lewis*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

60 Scopus citations


Summary and Conclusions-Load-capacity (stress-strength) interference theory is used to model the time-dependent behavior of a 1-out-of-2: G redundant system and to examine common-mode failures. For single units subjected to Poisson distributed load arrivals, the random failures, infant mortality, and aging are associated with load variability, capacity variability, and capacity deterioration, respectively. This paper extends the analysis to a redundant system by using a Markov model to treat Poisson distributed loads arriving at units simultaneously. Loss of s-independence of the unit failures is analyzed with joint pdfs of load and capacity. In the rare-event approximation, the degree of redundancy loss is characterized by expressing the coefficient in the beta-factor method in terms of the load and capacity distributions.

Original languageEnglish (US)
Pages (from-to)47-51
Number of pages5
JournalIEEE Transactions on Reliability
Issue number1
StatePublished - Mar 2001


  • Beta factor
  • Common-mode failure
  • Load-capacity interference
  • Redundancy

ASJC Scopus subject areas

  • Safety, Risk, Reliability and Quality
  • Electrical and Electronic Engineering


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