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.
@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.},
}
%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
