Some probability functions in reliability and their applications

Ji Hwan Cha, Jie Mi

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


There has been much research on the general failure model recently. In the general failure model, when the unit fails at its age t, Type I failure (minor failure) occurs with probability 1 - p(t) and Type II failure (catastrophic failure) occurs with probability p(t). In the previous research, some specific shapes (constant, non-decreasing, or bathtub-shape) on the probability function p(t) are assumed. In this article, general results on some probability functions are obtained and applied to study the shapes of p(t). The results are also applied to determining the optimal inspection and allocation policies in maintenance problems.

Original languageEnglish
Pages (from-to)128-135
Number of pages8
JournalNaval Research Logistics
Issue number2
StatePublished - Mar 2007


  • Bathtub-shape function
  • Change points
  • General failure model
  • Inspection policy
  • Resource allocation policy
  • Type II failure probability


Dive into the research topics of 'Some probability functions in reliability and their applications'. Together they form a unique fingerprint.

Cite this