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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Format: | Article |
Language: | English |
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Wiley
2015-01-01
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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. |
format | Article |
id | doaj-art-ccf1f95cf46646a38b5a95027896ee62 |
institution | Kabale University |
issn | 1026-0226 1607-887X |
language | English |
publishDate | 2015-01-01 |
publisher | Wiley |
record_format | Article |
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 |