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@ -734,6 +734,159 @@ TO RACE BACK DOWN THE DAG
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\begin{figure}
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\centering
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\begin{tikzpicture}[shorten >=1pt,->,draw=black!50, node distance=\layersep]
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\tikzstyle{every pin edge}=[<-,shorten <=1pt]
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\tikzstyle{fmmde}=[circle,fill=black!25,minimum size=17pt,inner sep=0pt]
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\tikzstyle{component}=[fmmde, fill=green!50];
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\tikzstyle{failure}=[fmmde, fill=red!50];
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\tikzstyle{symptom}=[fmmde, fill=blue!50];
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\tikzstyle{annot} = [text width=4em, text centered]
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% Draw the input layer nodes
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%\foreach \name / \y in {1,...,4}
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% This is the same as writing \foreach \name / \y in {1/1,2/2,3/3,4/4}
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% \node[component, pin=left:Input \#\y] (I-\name) at (0,-\y) {};
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\node[component] (C-1) at (0,-1) {$C^0_1$};
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\node[component] (C-2) at (0,-3) {$C^0_2$};
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\node[component] (C-3) at (0,-5) {$C^0_3$};
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\node[component] (K-4) at (0,-8) {$K^0_4$};
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\node[component] (C-5) at (0,-10) {$C^0_5$};
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\node[component] (C-6) at (0,-12) {$C^0_6$};
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\node[component] (K-7) at (0,-15) {$K^0_7$};
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% Draw the hidden layer nodes
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%\foreach \name / \y in {1,...,5}
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% \path[yshift=0.5cm]
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\node[failure] (C-1a) at (\layersep,-1) {a};
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\node[failure] (C-1b) at (\layersep,-2) {b};
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\node[failure] (C-2a) at (\layersep,-3) {a};
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\node[failure] (C-2b) at (\layersep,-4) {b};
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\node[failure] (C-3a) at (\layersep,-5) {a};
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\node[failure] (C-3b) at (\layersep,-6) {b};
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\node[failure] (K-4a) at (\layersep,-7) {a};
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\node[failure] (K-4b) at (\layersep,-8) {b};
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\node[failure] (K-4d) at (\layersep,-9) {d};
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\node[failure] (C-5a) at (\layersep,-10) {a};
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\node[failure] (C-5b) at (\layersep,-11) {b};
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\node[failure] (C-6a) at (\layersep,-12) {a};
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\node[failure] (C-6b) at (\layersep,-13) {b};
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\node[failure] (K-7a) at (\layersep,-14) {a};
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\node[failure] (K-7b) at (\layersep,-15) {b};
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\node[failure] (K-7d) at (\layersep,-16) {d};
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% Draw the output layer node
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% Connect every node in the input layer with every node in the
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% hidden layer.
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%\foreach \source in {1,...,4}
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% \foreach \dest in {1,...,5}
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\path (C-1) edge (C-1a);
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\path (C-1) edge (C-1b);
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\path (C-2) edge (C-2a);
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\path (C-2) edge (C-2b);
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\path (C-3) edge (C-3a);
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\path (C-3) edge (C-3b);
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\path (K-4) edge (K-4a);
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\path (K-4) edge (K-4b);
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\path (K-4) edge (K-4d);
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\path (C-5) edge (C-5a);
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\path (C-5) edge (C-5b);
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\path (C-6) edge (C-6a);
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\path (C-6) edge (C-6b);
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\path (K-7) edge (K-7a);
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\path (K-7) edge (K-7b);
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\path (K-7) edge (K-7d);
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%\node[symptom,pin={[pin edge={->}]right:Output}, right of=C-1a] (O) {};
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\node[symptom, right of=C-1a] (s1) {s1};
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\node[symptom, right of=C-2a] (s2) {s2};
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\node[symptom, right of=C-3a] (s3) {s3};
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\node[symptom, right of=C-3b] (s4) {s4};
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\node[symptom, right of=K-4b] (s5) {s5};
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\node[symptom, right of=C-5a] (s6) {s6};
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\node[symptom, right of=C-6b] (s7) {s7};
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\node[symptom, right of=K-7b] (s8) {s8};
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\path (C-2b) edge (s1);
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\path (C-1a) edge (s1);
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\path (C-2a) edge (s2);
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\path (C-1b) edge (s2);
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\path (C-1a) edge (s3);
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\path (C-3b) edge (s3);
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\path (K-4b) edge (s3);
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\path (C-1b) edge (s4);
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\path (C-3a) edge (s4);
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\path (K-4d) edge (s4);
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\path (K-4a) edge (s5);
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\path (C-5a) edge (s6);
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\path (C-6b) edge (s6);
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\path (K-7b) edge (s6);
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\path (C-5b) edge (s7);
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\path (C-6a) edge (s7);
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\path (K-7d) edge (s7);
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\path (K-7a) edge (s8);
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\node[component, right of=s1] (DC-1) {$C^1_1$};
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\node[component, right of=s4] (DC-2) {$C^1_2$};
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\node[component, right of=s7] (DC-3) {$C^1_3$};
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\path (s1) edge (DC-1);
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\path (s2) edge (DC-1);
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\path (s3) edge (DC-2);
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\path (s4) edge (DC-2);
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\path (s5) edge (DC-2);
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\path (s6) edge (DC-3);
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\path (s7) edge (DC-3);
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\path (s8) edge (DC-3);
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\node[failure, right of=DC-1] (as1) {$a_{s1}$};
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\node[failure, below of=as1] (as2) {$a_{s2}$}; % will this overwrite ?
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\path (DC-1) edge (as1);
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\path (DC-1) edge (as2);
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\node[failure, above of=DC-2] (as3) {$a_{s3}$}; % will this overwrite ?
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% Connect every node in the hidden layer with the output layer
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%\foreach \source in {1,...,5}
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% \path (H-\source) edge (O);
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% Annotate the layers
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\node[annot,above of=C-1a, node distance=1cm] (hl) {Failure modes};
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\node[annot,left of=hl] {Base Components};
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\node[annot,right of=hl](s) {Symptoms};
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\node[annot,right of=s](dcl) {Derived Component};
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\end{tikzpicture}
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% End of code
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\caption{DAG representing failure modes and symptoms $FG^0_1 \rightarrow C^1_1$ and $FG^0_2 \rightarrow C^1_2$}
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\label{fig:dag3}
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\end{figure}
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\section{Directed Acyclic Graph}
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Show how the hierarchy can be represented as a DAG
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