Reliability Analysis of Random Fuzzy Unrepairable Systems

The lifetimes of components in unrepairable systems are considered as random fuzzy variables since randomness and fuzziness are often merged with each other. Then we establish the fundamental mathematical models of random fuzzy unrepairable systems, including series systems, parallel systems, series...

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Main Authors: Ying Liu, Xiaozhong Li, Jianbin Li
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2014/625985
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author Ying Liu
Xiaozhong Li
Jianbin Li
author_facet Ying Liu
Xiaozhong Li
Jianbin Li
author_sort Ying Liu
collection DOAJ
description The lifetimes of components in unrepairable systems are considered as random fuzzy variables since randomness and fuzziness are often merged with each other. Then we establish the fundamental mathematical models of random fuzzy unrepairable systems, including series systems, parallel systems, series-parallel systems, parallel-series systems, and cold standby systems with absolutely reliable conversion switches. Furthermore, the expressions of reliability and mean time to failure (MTTF) are given for the above five random fuzzy unrepairable systems, respectively. Finally, numerical examples are given to show the application in a lighting lamp system and a hi-fi system.
format Article
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institution Kabale University
issn 1026-0226
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language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-eae95886837a4a67bde5348f394f08b52025-02-03T01:30:39ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/625985625985Reliability Analysis of Random Fuzzy Unrepairable SystemsYing Liu0Xiaozhong Li1Jianbin Li2Department of Computer Sciences, Tianjin University of Science and Technology, Tianjin 300222, ChinaDepartment of Computer Sciences, Tianjin University of Science and Technology, Tianjin 300222, ChinaSchool of Management, Huazhong University of Science and Technology, Wuhan 430074, ChinaThe lifetimes of components in unrepairable systems are considered as random fuzzy variables since randomness and fuzziness are often merged with each other. Then we establish the fundamental mathematical models of random fuzzy unrepairable systems, including series systems, parallel systems, series-parallel systems, parallel-series systems, and cold standby systems with absolutely reliable conversion switches. Furthermore, the expressions of reliability and mean time to failure (MTTF) are given for the above five random fuzzy unrepairable systems, respectively. Finally, numerical examples are given to show the application in a lighting lamp system and a hi-fi system.http://dx.doi.org/10.1155/2014/625985
spellingShingle Ying Liu
Xiaozhong Li
Jianbin Li
Reliability Analysis of Random Fuzzy Unrepairable Systems
Discrete Dynamics in Nature and Society
title Reliability Analysis of Random Fuzzy Unrepairable Systems
title_full Reliability Analysis of Random Fuzzy Unrepairable Systems
title_fullStr Reliability Analysis of Random Fuzzy Unrepairable Systems
title_full_unstemmed Reliability Analysis of Random Fuzzy Unrepairable Systems
title_short Reliability Analysis of Random Fuzzy Unrepairable Systems
title_sort reliability analysis of random fuzzy unrepairable systems
url http://dx.doi.org/10.1155/2014/625985
work_keys_str_mv AT yingliu reliabilityanalysisofrandomfuzzyunrepairablesystems
AT xiaozhongli reliabilityanalysisofrandomfuzzyunrepairablesystems
AT jianbinli reliabilityanalysisofrandomfuzzyunrepairablesystems