Fuzzy Availability Assessment for a Repairable Multistate Series-Parallel System

This paper considers a repairable multistate series-parallel system (RMSSPS) with fuzzy parameters. It is assumed that the system components are independent, and their state transition rates and performance rates are fuzzy values. The fuzzy universal generating function technique is adopted to deter...

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Main Authors: Linmin Hu, Dequan Yue, Ruiling Tian
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2015/156059
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author Linmin Hu
Dequan Yue
Ruiling Tian
author_facet Linmin Hu
Dequan Yue
Ruiling Tian
author_sort Linmin Hu
collection DOAJ
description This paper considers a repairable multistate series-parallel system (RMSSPS) with fuzzy parameters. It is assumed that the system components are independent, and their state transition rates and performance rates are fuzzy values. The fuzzy universal generating function technique is adopted to determine fuzzy state probability and fuzzy performance rate of the system. On the basis of α-cut approach and the extension principle, parametric programming technique is employed to obtain the α-cuts of some indices for the system. The system fuzzy availability is defined as the ability of the system to satisfy fuzzy consumer demand. A special assessment approach is developed for evaluating the fuzzy steady-state availability of the system with the fuzzy demand. A flow transmission system with three components is presented to demonstrate the validity of the proposed method.
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institution Kabale University
issn 1026-0226
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language English
publishDate 2015-01-01
publisher Wiley
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series Discrete Dynamics in Nature and Society
spelling doaj-art-ccf1f95cf46646a38b5a95027896ee622025-02-03T01:03:32ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/156059156059Fuzzy Availability Assessment for a Repairable Multistate Series-Parallel SystemLinmin Hu0Dequan Yue1Ruiling Tian2College of Science, Yanshan University, Qinhuangdao 066004, ChinaCollege of Science, Yanshan University, Qinhuangdao 066004, ChinaCollege of Science, Yanshan University, Qinhuangdao 066004, ChinaThis paper considers a repairable multistate series-parallel system (RMSSPS) with fuzzy parameters. It is assumed that the system components are independent, and their state transition rates and performance rates are fuzzy values. The fuzzy universal generating function technique is adopted to determine fuzzy state probability and fuzzy performance rate of the system. On the basis of α-cut approach and the extension principle, parametric programming technique is employed to obtain the α-cuts of some indices for the system. The system fuzzy availability is defined as the ability of the system to satisfy fuzzy consumer demand. A special assessment approach is developed for evaluating the fuzzy steady-state availability of the system with the fuzzy demand. A flow transmission system with three components is presented to demonstrate the validity of the proposed method.http://dx.doi.org/10.1155/2015/156059
spellingShingle Linmin Hu
Dequan Yue
Ruiling Tian
Fuzzy Availability Assessment for a Repairable Multistate Series-Parallel System
Discrete Dynamics in Nature and Society
title Fuzzy Availability Assessment for a Repairable Multistate Series-Parallel System
title_full Fuzzy Availability Assessment for a Repairable Multistate Series-Parallel System
title_fullStr Fuzzy Availability Assessment for a Repairable Multistate Series-Parallel System
title_full_unstemmed Fuzzy Availability Assessment for a Repairable Multistate Series-Parallel System
title_short Fuzzy Availability Assessment for a Repairable Multistate Series-Parallel System
title_sort fuzzy availability assessment for a repairable multistate series parallel system
url http://dx.doi.org/10.1155/2015/156059
work_keys_str_mv AT linminhu fuzzyavailabilityassessmentforarepairablemultistateseriesparallelsystem
AT dequanyue fuzzyavailabilityassessmentforarepairablemultistateseriesparallelsystem
AT ruilingtian fuzzyavailabilityassessmentforarepairablemultistateseriesparallelsystem