On some characteristics of quality for systems operating in a random environment

Ji Hwan Cha, Maxim Finkelstein

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We consider systems that are operating in a random environment modeled by an external shock process. Performance of a system is characterized by a quality (output) function that is decreasing (due to degradation) in the absence of shocks. The important feature of our model is that shocks affect the failure rate of a system directly, and at the same time, each shock contributes to the additional decrease in the quality function forming the corresponding stochastic process. Expectations (unconditional and conditional on survival) and variability of this process are analyzed. Some monotonicity properties of the conditional quality function are discussed and expressions for the future values of this function are derived.

Original languageEnglish
Pages (from-to)257-267
Number of pages11
JournalProceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability
Volume233
Issue number2
DOIs
StatePublished - 1 Apr 2019

Keywords

  • expected quality
  • failure rate process
  • Quality characteristic
  • random environment
  • shock process

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