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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Vydáno v:Reliability engineering & system safety Ročník 96; číslo 12; s. 1657 - 1666
Hlavní autoři: Levitin, Gregory, Xing, Liudong, Ben-Haim, Hanoch, Dai, Yuanshun
Médium: Journal Article
Jazyk:angličtina
Vydáno: Oxford Elsevier Ltd 01.12.2011
Elsevier
Témata:
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
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Shrnutí: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.
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ISSN:0951-8320
1879-0836
DOI:10.1016/j.ress.2011.08.002