proof read, wish had done this b4 senifn to sups
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@ -260,7 +260,7 @@ regions) see figure~\ref{fig:fgampa}.
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Let us consider, for the sake of example, that the voltage follower (very low gain of 1.0)
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amplification chracteristics from
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TC1 and TC6 can be considered as low output from the OPAMP for the application
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TC2 and TC6 can be considered as low output from the OPAMP for the application
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in hand (say milli-volt signal amplification).
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For this amplifier configuration we have three failure modes, $AMPHigh, AMPLow, LowPass$.%see figure~\ref{fig:fgampb}.
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@ -279,9 +279,9 @@ We can now derive a `component' to represent this amplifier configuration (see f
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%failure mode contours).
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\clearpage
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%\clearpage
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\section{Directed Acyclic Failure Mode Graph}
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\section{Failure Mode as a Directed Acyclic Graph}
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We can now represent the FMMD analysis as a directed graph, see figure \ref{fig:noninvdag0}.
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With the information structured in this way, we can trace the high level failure mode symptoms
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@ -411,11 +411,11 @@ back to their potential causes.
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\clearpage
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%\clearpage
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\section{Extracting Fault Trees from the DAG}
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We can derive an FTA diagram for a top level event, by tracing back through the DAG.
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We can derive an FTA~\cite{nucfta}~\cite{nasafta} diagram for a top level event, by tracing back through the DAG.
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Where we come to a node with more than one error source, this becomes an or gate
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in the FTA diagram. Tracing back from the top level event $AMP Low$ we are lead to
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the $OPAMP latch down$ and $OP amp Noop$. These two events can cause the symptom $AMP Low$.
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@ -499,8 +499,8 @@ The FTA diagram directly derived from the FMMD DAG is shown in figure \ref{fig:n
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%% To render them correctly replace '-20' with 'right' and add the 'absolute'
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%% option to the tikzpicture environment. The absolute option makes the
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%% node labels ignore the rotation of the parent node.
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\node [or] at (g1.south) [label=-20:G01] {};
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\node [or] at (g2.south) [label=-20:G02] {};
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%\node [or] at (g1.south) [label=-20:G01] {};
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\node [or] at (g2.south) [label=-20:G01] {};
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\node [or] at (g4.south) [label=-20:G02] {};
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% \node [and] at (g3.south) [label=-20:G03] {};
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% \node [or] at (g4.south) [label=-20:G04] {};
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@ -515,15 +515,15 @@ The FTA diagram directly derived from the FMMD DAG is shown in figure \ref{fig:n
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\end{tikzpicture}
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\label{fig:noninvfta}
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\caption{Example FTA for a Gas Supply with two Shutoff Valves}
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\caption{Example FTA Derived from the DAG for symptom `Amp Low'}
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\end{figure}
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\clearpage
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%\clearpage
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\clearpage
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%\clearpage
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show an example fault tree, showing the causes and logical (only OR's here)
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@ -549,4 +549,5 @@ statistical literature is available ~\cite{mil1991}~\cite{fmd91}.
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Software used to edit these diagrams, keeps the model in a directed acyclic graph data structure
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for this purpose.
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\clearpage
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%\end{document}
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