Premium
Some probability functions in reliability and their applications
Author(s) -
Cha Ji Hwan,
Mi Jie
Publication year - 2007
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/nav.20192
Subject(s) - bathtub , reliability (semiconductor) , constant (computer programming) , mathematics , probability density function , type (biology) , computer science , reliability engineering , statistics , engineering , physics , materials science , ecology , power (physics) , quantum mechanics , composite material , biology , programming language
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. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2007