Failure distributions in multicomponent systems with imperfect repairs

Richard Arnold*, Stefanka Chukova, Yu Hayakawa

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


We present a model for correlated failures in multicomponent systems where failed components are repaired. Due to these repairs multiple failures of each component are observable. Repair is instantaneous, but imperfect: in general the component is not returned to the good-as-new condition. Correlation amongst failures and the overall ageing of the system are modelled by treating each component failure as a shock which damages the other components in the system. We construct the likelihood for observations generated by such a system, and show how to simulate from this model. We demonstrate inference of the model parameters with simulated data and two real-world examples.

Original languageEnglish
Pages (from-to)4-17
Number of pages14
JournalProceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability
Issue number1
Publication statusPublished - 2016 Feb 1


  • Multi-component system
  • dependent components
  • imperfect repairs
  • inference
  • simulation

ASJC Scopus subject areas

  • Safety, Risk, Reliability and Quality


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