cutsets {FaultTree} | R Documentation |
Fault Tree Minimal Cut Set Determination
Description
Determines minimal cutsets by various methods.
Usage
cutsets(DF, ft_node=1, method="mocus", by="tag")
Arguments
DF |
A fault tree dataframe such as returned from ftree.make or related add... functions. |
ft_node |
A gate node ID treated as top of (sub)tree to be calculated. |
method |
The method for calculation either 'mocus' or 'prime-implicants' |
by |
Selection of identifier for each element of the cutset either 'tag' or 'id' |
Value
Returns a list of matrices for each of cut set lengths found. Each element is defined by its unique ID assigned in the fault tree or by its unique Tag applied by the user.
References
Fussell, J., Vesely, W.E. (1972) A New Method for Obtaining Cut Sets for Fault Trees Transactions ANS, No. 15
Ericson, Clifton A. II (2011) Fault Tree Analysis Primer CreateSpace Inc.
Ericson, Clifton A. II (2005) Hazard Analysis Techniques for System Safety John Wiley & Sons
Nicholls, David [Editor] (2005) System Reliability Toolkit Reliability information Analysis Center
O'Connor, Patrick D.T. (1991) Practical Reliability Engineering John Wiley & Sons
Vesely, W.E., Goldberg, F.F., Roberts, N.H., Haasl, D.F. (1981) Fault Tree Handbook U.S. Nuclear Regulatory Commission
Vesely, W.E., Stamatelato, M., Dugan, J., Fragola, J., Minarick, J., Railsback, J. (2002) Fault Tree Handbook with Aerospace Applications NASA
Doelp, L.C., Lee, G.K., Linney, R.E., Ormsby R.W. (1984) Quantitative fault tree analysis: Gate-by-gate method Plant/Operations Progress Volume 3, Issue 4 American Institute of Chemical Engineers
Rauzy, Antoine (1993) "New algorithms for fault trees analysis" Reliabiity Engineering System Safety, volume 40
Limnios, Nikolaos (2007) Fault Trees ISTE,Ltd.
Bedford, Tim, Cooke, Roger (2012) Probabilistic Risk Analysis Foundations and Methods Cambridge University Press
Examples
minex2<-ftree.make(type="and")
minex2<-addProbability(minex2, at="top", prob=.01, tag="X1", name="X1")
minex2<-addLogic(minex2, at="top", type="or", tag="G1", name="G1")
minex2<-addProbability(minex2, at="G1", prob=.02, tag="X2", name="X2")
minex2<-addProbability(minex2, at="G1", prob=.03, tag="X3", name="X3")
minex2<-addLogic(minex2, at="top", type="or", tag="G2", name="G2")
minex2<-addDuplicate(minex2, at="G2", dup_of="X3")
minex2<-addProbability(minex2, at="G2", prob=.04, tag="X4", name="X4")
minex2_cs<-cutsets(minex2)