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By Jean-Francois Aubry, Nicolae Brinzei

ISBN-10: 1119053927

ISBN-13: 9781119053927

ISBN-10: 1119053994

ISBN-13: 9781119053996

ISBN-10: 184821765X

ISBN-13: 9781848217652

Presents fresh advancements of probabilistic overview of structures dependability in line with stochastic versions, together with graph thought, finite kingdom automaton and language idea, for either dynamic and hybrid contexts.

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Additional resources for Systems dependability assessment : modeling with graphs and finite state automata

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4. The event tree Contrarily to the FT model, which results from a deductive reasoning, the event tree results from an inductive analysis. It is a binary tree whose root and nodes are, respectively, associated with an initiating event (IE) and the events that are able to propagate it. This approach was developed to focus an analysis on a specific sequence, especially in complex systems where the FT becomes huge, and especially for critical aspects. It is very useful in the conception process in the framework of a defense in-depth strategy based on a systematic implementation of successive safety barriers [VIL 92, PAG 80, MOD 93].

Then, we will only find subsets of one path of length 1 to link a maximum to a minimum. The proposed choices 11000 to 11100 and 10110 to 11110 36 Systems Dependability Assessment finally lead to the following reduced polynomial expression: Y = (u3 ∧ u5 ) ∨ (u1 ∧ u3 ∧ u4 ) ∨ (u1 ∧ u2 ∧ u4 ∧ u5 ) ∨ (u2 ∧ u3 ∧ u4 ∧ u5 ) ∨ (u1 ∧ u2 ∧ u3 ∧ u4 ∧ u5 ) ∨ (u1 ∧ u2 ∧ u3 ∧ u4 ∧ u5 ) ∨ (u1 ∧ u2 ∧ u3 ∧ u4 ∧ u5 ) This corresponds to a reduction to 28 letters in 7 monomials. Second choice: tie-set {c1 , c4 } corresponding to the minimum (10011).

We do not intend to describe the details of this approach here; it is developed in many reference books. g. [ZWI 08, MOR 01, VIL 88, LIM 91, VIL 92]). The analysis by FTs is a deductive method consisting of the definition of a feared or unexpected event and the research of its immediate, necessary and sufficient causes and/or their combinations. For a reliability study, this event is the failure of the system. Villemeur [VIL 92, VIL 88] showed that the difficulty of this method must not be undervalued and that care must be taken facing the evidence often leading to dangerous shortcuts.

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Systems dependability assessment : modeling with graphs and finite state automata by Jean-Francois Aubry, Nicolae Brinzei


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