Applied Stochastic Models in Business and Industry, ( ISI ), Volume (33), No (4), Year (2017-12) , Pages (382-393)

Title : ( Mixture representation for the residual lifetime of a repairable system )

Authors: M. Chahkandi , Jafar Ahmadi , N. Balakrishnan ,

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Abstract

In this paper, we consider a repairable system in which two types of failures can occur on each failure. One is a minor failure that can be corrected with minimal repair, whereas the other type is a catastrophic failure that destroys the system. The total number of failures until the catastrophic failure is a positive random variable with a given probability vector. It is assumed that there is some partial information about the failure status of the system, and then various properties of the conditional probability of the system failure are studied.Mixture representations of the reliability function for the system in terms of the reliability function of the residual lifetimes of record values are obtained. Some stochastic properties of the conditional probabilities and the residual lifetimes of two systems are finally discussed.

Keywords

aging properties; failure rate function; minimal repair; stochastic ordering
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@article{paperid:1065036,
author = {M. Chahkandi and Ahmadi, Jafar and N. Balakrishnan},
title = {Mixture representation for the residual lifetime of a repairable system},
journal = {Applied Stochastic Models in Business and Industry},
year = {2017},
volume = {33},
number = {4},
month = {December},
issn = {1524-1904},
pages = {382--393},
numpages = {11},
keywords = {aging properties; failure rate function; minimal repair; stochastic ordering},
}

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%0 Journal Article
%T Mixture representation for the residual lifetime of a repairable system
%A M. Chahkandi
%A Ahmadi, Jafar
%A N. Balakrishnan
%J Applied Stochastic Models in Business and Industry
%@ 1524-1904
%D 2017

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