Applied Stochastic Models in Business and Industry, ( ISI ), Volume (30), No (2), Year (2014-4) , Pages (218-226)

Title : ( Some results for repairable systems with minimal repairs )

Authors: majid chahkandi , Jafar Ahmadi , Simindokht Baratpour Bajgiran ,

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Abstract

‎In this paper‎, ‎we‎ ‎consider a repairable system ‎with minimal repairs ‎whose number of‎ ‎repairs is a positive random variable with a given‎ ‎probability vector‎. ‎Some preservation theorems ‎and ‎‎aging properties of repairable ‎systems are established‎. ‎Under the condition that‎ ‎at time $t$‎ ‎the system is ‎working‎‎‎, ‎‎‎ a new random‎ ‎variable for the residual lifetime of the system is proposed. ‎Some‎ ‎stochastic ordering results among the lifetimes and residual‎ ‎lifetimes of two systems are obtained‎. ‎Similar results ‎were ‎also‎ obtained by Li and Zhang cite{Li and Zhang} and Zhang cite{Zhang} for coherent systems with‎ ‎independent components and exchangeable components‎, ‎respectively‎.

Keywords

, ‎Aging ‎properties, ‎‎‎ Minimal repair‎, ‎Residual lifetime‎, ‎Stochastic‎ ‎ordering.‎
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@article{paperid:1032010,
author = {Chahkandi, Majid and Ahmadi, Jafar and Baratpour Bajgiran, Simindokht},
title = {Some results for repairable systems with minimal repairs},
journal = {Applied Stochastic Models in Business and Industry},
year = {2014},
volume = {30},
number = {2},
month = {April},
issn = {1524-1904},
pages = {218--226},
numpages = {8},
keywords = {‎Aging ‎properties;‎‎‎ Minimal repair‎; ‎Residual lifetime‎; ‎Stochastic‎ ‎ordering.‎},
}

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%0 Journal Article
%T Some results for repairable systems with minimal repairs
%A Chahkandi, Majid
%A Ahmadi, Jafar
%A Baratpour Bajgiran, Simindokht
%J Applied Stochastic Models in Business and Industry
%@ 1524-1904
%D 2014

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