Multi-state systems with selective propagated failures and imperfect individual and group protections

The paper presents an algorithm for evaluating performance distribution of complex series–parallel multi-state systems with propagated failures and imperfect protections. The failure propagation can have a selective effect, which means that the failures originated from different system elements can...

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Veröffentlicht in:	Reliability engineering & system safety Jg. 96; H. 12; S. 1657 - 1666
Hauptverfasser:	Levitin, Gregory, Xing, Liudong, Ben-Haim, Hanoch, Dai, Yuanshun
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Oxford Elsevier Ltd 01.12.2011 Elsevier
Schlagworte:	Algorithms Applied sciences Block diagrams Common cause failure Exact sciences and technology Failure Mathematical analysis Mathematical models Multi-state system Operational research and scientific management Operational research. Management science Performance evaluation Propagated failure Protection Reliability block diagram Reliability engineering Reliability theory. Replacement problems Safety Universal generating function Propagated failure CCF Pmf Reliability block diagram Multi-state system MSS Common cause failure RBD UGF PF PG Universal generating function Protection Performance evaluation Function block diagram Probabilistic approach Diagrammatic method State space Series system Failures Parallel system Dependence Defect Reliability
ISSN:	0951-8320, 1879-0836
Online-Zugang:	Volltext
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Abstract	The paper presents an algorithm for evaluating performance distribution of complex series–parallel multi-state systems with propagated failures and imperfect protections. The failure propagation can have a selective effect, which means that the failures originated from different system elements can cause failures of different subsets of elements. Individual elements or some disjoint groups of elements can be protected from propagation of failures originated outside the group. The protections can fail with given probabilities. The suggested algorithm is based on the universal generating function approach and a generalized reliability block diagram method. The performance distribution evaluation procedure is repeated for each combination of propagated failures and protection failures. Both an analytical example and a numerical example are provided to illustrate the suggested algorithm. ► Systems with propagated failures and imperfect protections are considered. ► Failures originated from different elements can affect different subsets of elements. ► Protections of individual elements or groups of elements can fail with given probabilities. ► An algorithm for evaluating multi-state system performance distribution is suggested.
AbstractList	The paper presents an algorithm for evaluating performance distribution of complex series–parallel multi-state systems with propagated failures and imperfect protections. The failure propagation can have a selective effect, which means that the failures originated from different system elements can cause failures of different subsets of elements. Individual elements or some disjoint groups of elements can be protected from propagation of failures originated outside the group. The protections can fail with given probabilities. The suggested algorithm is based on the universal generating function approach and a generalized reliability block diagram method. The performance distribution evaluation procedure is repeated for each combination of propagated failures and protection failures. Both an analytical example and a numerical example are provided to illustrate the suggested algorithm. ► Systems with propagated failures and imperfect protections are considered. ► Failures originated from different elements can affect different subsets of elements. ► Protections of individual elements or groups of elements can fail with given probabilities. ► An algorithm for evaluating multi-state system performance distribution is suggested. The paper presents an algorithm for evaluating performance distribution of complex series-parallel multi-state systems with propagated failures and imperfect protections. The failure propagation can have a selective effect, which means that the failures originated from different system elements can cause failures of different subsets of elements. Individual elements or some disjoint groups of elements can be protected from propagation of failures originated outside the group. The protections can fail with given probabilities. The suggested algorithm is based on the universal generating function approach and a generalized reliability block diagram method. The performance distribution evaluation procedure is repeated for each combination of propagated failures and protection failures. Both an analytical example and a numerical example are provided to illustrate the suggested algorithm.
Author	Xing, Liudong Dai, Yuanshun Levitin, Gregory Ben-Haim, Hanoch
Author_xml	– sequence: 1 givenname: Gregory surname: Levitin fullname: Levitin, Gregory email: levitin@iec.co.il organization: Collaborative Autonomic Computing Laboratory, School of Computer Science, University of Electronic Science and Technology of China, China – sequence: 2 givenname: Liudong surname: Xing fullname: Xing, Liudong organization: Collaborative Autonomic Computing Laboratory, School of Computer Science, University of Electronic Science and Technology of China, China – sequence: 3 givenname: Hanoch surname: Ben-Haim fullname: Ben-Haim, Hanoch organization: The Israel Electric Corporation, P.O. Box 10, Haifa 31000, Israel – sequence: 4 givenname: Yuanshun surname: Dai fullname: Dai, Yuanshun organization: Collaborative Autonomic Computing Laboratory, School of Computer Science, University of Electronic Science and Technology of China, China
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Cites_doi	10.2172/4206606 10.1109/RAMS.2003.1181898 10.1109/TR.1986.4335336 10.1016/j.ress.2007.12.004 10.2307/2282907 10.1109/24.722285 10.1109/TR.2004.837703 10.1109/TR.2006.890900 10.1016/j.ress.2006.09.004 10.1016/j.ress.2010.02.003 10.1016/S0029-5493(96)01288-5 10.1016/j.ress.2006.02.009 10.1016/S0951-8320(02)00170-9 10.1016/0951-8320(94)90034-5 10.1016/j.ress.2010.06.014 10.1109/TR.2008.2011855 10.1109/TR.2007.903229 10.1016/0029-5493(76)90149-7 10.1109/RAMS.2010.5447994 10.1109/TDSC.2005.51 10.1142/S0218539394000106 10.1109/24.983398
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Keywords	Propagated failure CCF Pmf Reliability block diagram Multi-state system MSS Common cause failure RBD UGF PF PG Universal generating function Protection Performance evaluation Function block diagram Probabilistic approach Diagrammatic method State space Series system Failures Parallel system Dependence Defect Reliability
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Snippet	The paper presents an algorithm for evaluating performance distribution of complex series–parallel multi-state systems with propagated failures and imperfect... The paper presents an algorithm for evaluating performance distribution of complex series-parallel multi-state systems with propagated failures and imperfect...
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SubjectTerms	Algorithms Applied sciences Block diagrams Common cause failure Exact sciences and technology Failure Mathematical analysis Mathematical models Multi-state system Operational research and scientific management Operational research. Management science Performance evaluation Propagated failure Protection Reliability block diagram Reliability engineering Reliability theory. Replacement problems Safety Universal generating function
Title	Multi-state systems with selective propagated failures and imperfect individual and group protections
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