Reliability Analysis of k-out-of-n Systems of Components with Potentially Brittle Behavior by Universal Generating Function and Linear Programming

Due to initial cracks, careless construction, and extreme load conditions, components with brittle behavior may exist in a structural system. The presence of brittle behavior of components usually is accompanied by a low strength. However, existing methods for calculating the reliability of structur...

Full description

Bibliographic Details
Main Authors:	Yi Chang, Yanshuo Mai, Linli Yi, Liuming Yu, Ying Chen, Cheng Yang, Jinhe Gao
Format:	Article
Language:	English
Published:	Hindawi Limited 2020-01-01
Series:	Mathematical Problems in Engineering
Online Access:	http://dx.doi.org/10.1155/2020/8087242

id	doaj-b732445a0b0a45daaf63202507b03959
record_format	Article
spelling	doaj-b732445a0b0a45daaf63202507b039592020-11-25T02:40:35ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472020-01-01202010.1155/2020/80872428087242Reliability Analysis of k-out-of-n Systems of Components with Potentially Brittle Behavior by Universal Generating Function and Linear ProgrammingYi Chang0Yanshuo Mai1Linli Yi2Liuming Yu3Ying Chen4Cheng Yang5Jinhe Gao6Engineering Research Center of Nuclear Technology Application (East China University of Technology), Ministry of Education, Nanchang 330013, ChinaSchool of Civil & Architecture Engineering, East China University of Technology, Nanchang 330013, ChinaSchool of Civil & Architecture Engineering, East China University of Technology, Nanchang 330013, ChinaSchool of Civil & Architecture Engineering, East China University of Technology, Nanchang 330013, ChinaSchool of Civil & Architecture Engineering, East China University of Technology, Nanchang 330013, ChinaSchool of Civil & Architecture Engineering, East China University of Technology, Nanchang 330013, ChinaEngineering Research Center of Nuclear Technology Application (East China University of Technology), Ministry of Education, Nanchang 330013, ChinaDue to initial cracks, careless construction, and extreme load conditions, components with brittle behavior may exist in a structural system. The presence of brittle behavior of components usually is accompanied by a low strength. However, existing methods for calculating the reliability of structures of components with brittle behavior are rather complicated or impossible. By means of decomposing the entire system into a set of subsystems, this paper proposed a method to estimate the bounds on failure probability of k-out-of-n system of components with potentially brittle behavior by using universal generating function (UGF) and linear programming (LP). Based on the individual component state probabilities and joint probabilities of the states of a small number of components, the proposed method can provide the bounds for the failure probability of a system with a large number of components. The accuracy and efficiency of the proposed method are investigated using numerical examples.http://dx.doi.org/10.1155/2020/8087242
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yi Chang Yanshuo Mai Linli Yi Liuming Yu Ying Chen Cheng Yang Jinhe Gao
spellingShingle	Yi Chang Yanshuo Mai Linli Yi Liuming Yu Ying Chen Cheng Yang Jinhe Gao Reliability Analysis of k-out-of-n Systems of Components with Potentially Brittle Behavior by Universal Generating Function and Linear Programming Mathematical Problems in Engineering
author_facet	Yi Chang Yanshuo Mai Linli Yi Liuming Yu Ying Chen Cheng Yang Jinhe Gao
author_sort	Yi Chang
title	Reliability Analysis of k-out-of-n Systems of Components with Potentially Brittle Behavior by Universal Generating Function and Linear Programming
title_short	Reliability Analysis of k-out-of-n Systems of Components with Potentially Brittle Behavior by Universal Generating Function and Linear Programming
title_full	Reliability Analysis of k-out-of-n Systems of Components with Potentially Brittle Behavior by Universal Generating Function and Linear Programming
title_fullStr	Reliability Analysis of k-out-of-n Systems of Components with Potentially Brittle Behavior by Universal Generating Function and Linear Programming
title_full_unstemmed	Reliability Analysis of k-out-of-n Systems of Components with Potentially Brittle Behavior by Universal Generating Function and Linear Programming
title_sort	reliability analysis of k-out-of-n systems of components with potentially brittle behavior by universal generating function and linear programming
publisher	Hindawi Limited
series	Mathematical Problems in Engineering
issn	1024-123X 1563-5147
publishDate	2020-01-01
description	Due to initial cracks, careless construction, and extreme load conditions, components with brittle behavior may exist in a structural system. The presence of brittle behavior of components usually is accompanied by a low strength. However, existing methods for calculating the reliability of structures of components with brittle behavior are rather complicated or impossible. By means of decomposing the entire system into a set of subsystems, this paper proposed a method to estimate the bounds on failure probability of k-out-of-n system of components with potentially brittle behavior by using universal generating function (UGF) and linear programming (LP). Based on the individual component state probabilities and joint probabilities of the states of a small number of components, the proposed method can provide the bounds for the failure probability of a system with a large number of components. The accuracy and efficiency of the proposed method are investigated using numerical examples.
url	http://dx.doi.org/10.1155/2020/8087242
work_keys_str_mv	AT yichang reliabilityanalysisofkoutofnsystemsofcomponentswithpotentiallybrittlebehaviorbyuniversalgeneratingfunctionandlinearprogramming AT yanshuomai reliabilityanalysisofkoutofnsystemsofcomponentswithpotentiallybrittlebehaviorbyuniversalgeneratingfunctionandlinearprogramming AT linliyi reliabilityanalysisofkoutofnsystemsofcomponentswithpotentiallybrittlebehaviorbyuniversalgeneratingfunctionandlinearprogramming AT liumingyu reliabilityanalysisofkoutofnsystemsofcomponentswithpotentiallybrittlebehaviorbyuniversalgeneratingfunctionandlinearprogramming AT yingchen reliabilityanalysisofkoutofnsystemsofcomponentswithpotentiallybrittlebehaviorbyuniversalgeneratingfunctionandlinearprogramming AT chengyang reliabilityanalysisofkoutofnsystemsofcomponentswithpotentiallybrittlebehaviorbyuniversalgeneratingfunctionandlinearprogramming AT jinhegao reliabilityanalysisofkoutofnsystemsofcomponentswithpotentiallybrittlebehaviorbyuniversalgeneratingfunctionandlinearprogramming
_version_	1715417387568726016

Reliability Analysis of k-out-of-n Systems of Components with Potentially Brittle Behavior by Universal Generating Function and Linear Programming

Similar Items