Fault Tree Interval Analysis of Complex Systems Based on Universal Grey Operation
The objective of this study is to propose a new operation method based on the universal grey number to overcome the shortcomings of typical interval operation in solving system fault trees. First, the failure probability ranges of the bottom events are described according to the conversion rules bet...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/1046054 |
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| _version_ | 1832553708870696960 |
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| author | Feng Zhang Shiwang Tan Leilei Zhang Yameng Wang Yang Gao |
| author_facet | Feng Zhang Shiwang Tan Leilei Zhang Yameng Wang Yang Gao |
| author_sort | Feng Zhang |
| collection | DOAJ |
| description | The objective of this study is to propose a new operation method based on the universal grey number to overcome the shortcomings of typical interval operation in solving system fault trees. First, the failure probability ranges of the bottom events are described according to the conversion rules between the interval number and universal grey number. A more accurate system reliability calculation is then obtained based on the logical relationship between the AND gates and OR gates of a fault tree and universal grey number arithmetic. Then, considering an aircraft landing gear retraction system as an example, the failure probability range of the top event is obtained through universal grey operation. Next, the reliability of the aircraft landing gear retraction system is evaluated despite insufficient statistical information describing failures. The example demonstrates that the proposed method provides many advantages in resolving the system reliability problem despite poor information, yielding benefits for the function of the interval operation, and overcoming the drawback of solution interval enlargement under different orders of interval operation. |
| format | Article |
| id | doaj-art-ca0fb3950eba4be2892f7c3d309d9ec6 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-ca0fb3950eba4be2892f7c3d309d9ec62025-02-03T05:53:31ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/10460541046054Fault Tree Interval Analysis of Complex Systems Based on Universal Grey OperationFeng Zhang0Shiwang Tan1Leilei Zhang2Yameng Wang3Yang Gao4School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an 710129, ChinaSchool of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an 710129, ChinaNo. 203 Research Institute of China Ordnance Industries, Xi’an 710065, ChinaSchool of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an 710129, ChinaSchool of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an 710129, ChinaThe objective of this study is to propose a new operation method based on the universal grey number to overcome the shortcomings of typical interval operation in solving system fault trees. First, the failure probability ranges of the bottom events are described according to the conversion rules between the interval number and universal grey number. A more accurate system reliability calculation is then obtained based on the logical relationship between the AND gates and OR gates of a fault tree and universal grey number arithmetic. Then, considering an aircraft landing gear retraction system as an example, the failure probability range of the top event is obtained through universal grey operation. Next, the reliability of the aircraft landing gear retraction system is evaluated despite insufficient statistical information describing failures. The example demonstrates that the proposed method provides many advantages in resolving the system reliability problem despite poor information, yielding benefits for the function of the interval operation, and overcoming the drawback of solution interval enlargement under different orders of interval operation.http://dx.doi.org/10.1155/2019/1046054 |
| spellingShingle | Feng Zhang Shiwang Tan Leilei Zhang Yameng Wang Yang Gao Fault Tree Interval Analysis of Complex Systems Based on Universal Grey Operation Complexity |
| title | Fault Tree Interval Analysis of Complex Systems Based on Universal Grey Operation |
| title_full | Fault Tree Interval Analysis of Complex Systems Based on Universal Grey Operation |
| title_fullStr | Fault Tree Interval Analysis of Complex Systems Based on Universal Grey Operation |
| title_full_unstemmed | Fault Tree Interval Analysis of Complex Systems Based on Universal Grey Operation |
| title_short | Fault Tree Interval Analysis of Complex Systems Based on Universal Grey Operation |
| title_sort | fault tree interval analysis of complex systems based on universal grey operation |
| url | http://dx.doi.org/10.1155/2019/1046054 |
| work_keys_str_mv | AT fengzhang faulttreeintervalanalysisofcomplexsystemsbasedonuniversalgreyoperation AT shiwangtan faulttreeintervalanalysisofcomplexsystemsbasedonuniversalgreyoperation AT leileizhang faulttreeintervalanalysisofcomplexsystemsbasedonuniversalgreyoperation AT yamengwang faulttreeintervalanalysisofcomplexsystemsbasedonuniversalgreyoperation AT yanggao faulttreeintervalanalysisofcomplexsystemsbasedonuniversalgreyoperation |