Stochastic modelling of operational quality of k-out-of-n systems

Ji Hwan Cha, Maxim Finkelstein

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


In this paper, we study some operational quality measures of the k-out-of-n systems. Performance of these systems is characterized by a quality (output) function that is decreasing in the absence of components’ failures. Moreover, it decreases (downward jump) with each failure of a component in a system as well. We employ the point processes approach for description of the corresponding failure process and derivation of the main results. Expectations (unconditional and conditional on survival) and variability for the system’s quality function are derived and analyzed. The corresponding ‘future quality process’ is defined and described. Some illustrative examples are presented.

Original languageEnglish
Pages (from-to)424-441
Number of pages18
Issue number2
StatePublished - 1 Jul 2020

Bibliographical note

Publisher Copyright:
© 2020, Sociedad de Estadística e Investigación Operativa.


  • Point process
  • Quality function
  • Residual lifetime
  • Stochastic intensity
  • k-out-of-n system


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