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A Matrix‐Based Approach to Uncertainty and Sensitivity Analysis for Fault Trees 1
Author(s) -
Iman Ronald L.
Publication year - 1987
Publication title -
risk analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.972
H-Index - 130
eISSN - 1539-6924
pISSN - 0272-4332
DOI - 10.1111/j.1539-6924.1987.tb00966.x
Subject(s) - fault tree analysis , unavailability , sensitivity (control systems) , representation (politics) , notation , matrix representation , truncation (statistics) , matrix (chemical analysis) , fault (geology) , computer science , algorithm , tree (set theory) , theoretical computer science , reliability engineering , mathematics , engineering , combinatorics , chemistry , arithmetic , machine learning , group (periodic table) , organic chemistry , electronic engineering , seismology , politics , political science , law , geology , chromatography
System unavailabilities for large complex systems such as nuclear power plants are often evaluated through use of fault tree analysis. The system unavailability is obtained from a Boolean representation of a system fault tree. Even after truncation of higher order terms these expressions can be quite large, involving thousands of terms. A general matrix notation is proposed for the representation of Boolean expressions which facilitates uncertainty and sensitivity analysis calculations.