On Extreme Residual Lives after the Failure of the System

The concept of residual lifetime has attracted considerable research interest in reliability theory. It is useful for evaluating the dynamic behavior of a system. In this paper, we study the extreme residual lives, that is, the minimum and maximum residual lives of the remaining components after the...

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Main Authors:	Serkan Eryilmaz, Ismihan Bayramoglu
Format:	Article
Language:	English
Published:	Hindawi Limited 2012-01-01
Series:	Mathematical Problems in Engineering
Online Access:	http://dx.doi.org/10.1155/2012/342940

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spelling	doaj-9dcd94ce3deb4a7db2c8be8d53a297832020-11-24T20:58:42ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472012-01-01201210.1155/2012/342940342940On Extreme Residual Lives after the Failure of the SystemSerkan Eryilmaz0Ismihan Bayramoglu1Department of Industrial Engineering, Atilim University, Incek, 06836 Ankara, TurkeyDepartment of Mathematics, Izmir University of Economics, 35330 Izmir, TurkeyThe concept of residual lifetime has attracted considerable research interest in reliability theory. It is useful for evaluating the dynamic behavior of a system. In this paper, we study the extreme residual lives, that is, the minimum and maximum residual lives of the remaining components after the failure of the system. The system is assumed to have an arbitrary structure. We obtain signature-based distributional and ordering results for the extreme residual lives.http://dx.doi.org/10.1155/2012/342940
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Serkan Eryilmaz Ismihan Bayramoglu
spellingShingle	Serkan Eryilmaz Ismihan Bayramoglu On Extreme Residual Lives after the Failure of the System Mathematical Problems in Engineering
author_facet	Serkan Eryilmaz Ismihan Bayramoglu
author_sort	Serkan Eryilmaz
title	On Extreme Residual Lives after the Failure of the System
title_short	On Extreme Residual Lives after the Failure of the System
title_full	On Extreme Residual Lives after the Failure of the System
title_fullStr	On Extreme Residual Lives after the Failure of the System
title_full_unstemmed	On Extreme Residual Lives after the Failure of the System
title_sort	on extreme residual lives after the failure of the system
publisher	Hindawi Limited
series	Mathematical Problems in Engineering
issn	1024-123X 1563-5147
publishDate	2012-01-01
description	The concept of residual lifetime has attracted considerable research interest in reliability theory. It is useful for evaluating the dynamic behavior of a system. In this paper, we study the extreme residual lives, that is, the minimum and maximum residual lives of the remaining components after the failure of the system. The system is assumed to have an arbitrary structure. We obtain signature-based distributional and ordering results for the extreme residual lives.
url	http://dx.doi.org/10.1155/2012/342940
work_keys_str_mv	AT serkaneryilmaz onextremeresiduallivesafterthefailureofthesystem AT ismihanbayramoglu onextremeresiduallivesafterthefailureofthesystem
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On Extreme Residual Lives after the Failure of the System

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