From 83a297a1939ab919a9dbecef1cb5d582cf69617c Mon Sep 17 00:00:00 2001
From: Robin Clark <R.P.Clark@brighton.ac.uk>
Date: Fri, 1 Feb 2013 14:07:56 +0000
Subject: [PATCH] Working through RFMEA and FMMD comparison complexity
 examples. Re-calculating some, because they were removed and not left
 commented out. Annoying but good revision in how I came up with the metrics.

---
 submission_thesis/CH5_Examples/copy.tex   |  7 ++--
 submission_thesis/CH6_Evaluation/copy.tex | 48 ++++++++++++++++++++++-
 submission_thesis/thesis.tex              |  1 +
 3 files changed, 52 insertions(+), 4 deletions(-)

diff --git a/submission_thesis/CH5_Examples/copy.tex b/submission_thesis/CH5_Examples/copy.tex
index 07f7925..7b4b553 100644
--- a/submission_thesis/CH5_Examples/copy.tex
+++ b/submission_thesis/CH5_Examples/copy.tex
@@ -2331,7 +2331,7 @@ In this section we examine the failure mode behaviour % for all single
 double simultaneous faults.
 Traditional FMEA methodologies do not provide double failure analysis~\cite{safeware}[p.342]
 and double failure analysis for FMEA is a subject of current research~\cite{FMEAmultiple653556,AutoFMEAfaultTree1281774}.
-
+%Well, 
 %This corresponds to the cardinality constrained powerset of one (see section~\ref{ccp}), of
 %the failure modes in the functional group.
 All the single faults have been analysed in the last section.
@@ -2340,8 +2340,9 @@ All the single faults have been analysed in the last section.
 %potential divider equation proofs.
 %
 Table \ref{tab:ptfmea2} lists all the combinations of double
-faults and then hypothesises how the functional~group will react
-under those conditions.
+faults as FMMD test cases.
+%and then hypothesises how the functional~group will react
+%under those conditions.
 
 \begin{table}[ht]
 \caption{Pt100 FMEA Double Faults} % title of Table
diff --git a/submission_thesis/CH6_Evaluation/copy.tex b/submission_thesis/CH6_Evaluation/copy.tex
index 662a032..69d7354 100644
--- a/submission_thesis/CH6_Evaluation/copy.tex
+++ b/submission_thesis/CH6_Evaluation/copy.tex
@@ -367,14 +367,60 @@ $$
 $$
 \subsection{Complexity Comparison applied to previous FMMD Examples}
 
-All the FMMD examples in chapters \ref{chap5} and \ref{chap6} showed a marked reduction in comparison 
+All the FMMD examples in chapters \ref{sec:chap5} and \ref{sec:chap6} showed a marked reduction in comparison 
 complexity compared to the RFMEA worst case figures.
 %
 
 %
 A table of complexity comparison vs. RFMEA is presented below.
 
+%\usepackage{multirow}
 
+\begin{tabular}{ |l|l|l| }
+\hline 
+\textbf{Hierarchy}   & \textbf{Analysis object} & \textbf{Complexity} \\
+\textbf{Level}       & \textbf{Description}     & \textbf{Comparison} \\
+%\hline \hline
+%\multicolumn{3}{ |c| }{Complexity Comparison against RFMEA for examples in Chapter~\ref{sec:chap5}} \\
+%\hline \hline
+
+
+%Goalkeeper & GK & Paul Robinson \\ \hline
+
+\hline
+
+\multicolumn{3}{ |c| }{Inverting Amplifier Two stage FMMD Hierarchy: section~\ref{sec:invamp}} \\ \hline
+%\multirow{3}{*} {Inverting Amplifier Two stage FMMD Hierarchy: section~\ref{sec:invamp}}  & & \\
+0 & Potential Divider & 4 \\
+1 & PD + Opamp & 8 \\
+ & Inverting Amplifier: & FMMD 10 \\  
+ & Inverting Amplifier: & RFMEA 16 \\  
+  \hline
+ 
+\multicolumn{3}{ |c| } {Inverting Amplifier One stage FMMD Hierarchy: section~\ref{sec:invamp}}  \\ \hline
+0 & Resistors + Opamp & 16 \\
+ & Inverting Amplifier: & FMMD 16 \\  
+ & Inverting Amplifier: & RFMEA 16 \\  
+  \hline
+  
+  
+\multicolumn{3}{ |c| } {Differencing Amplifier One stage FMMD Hierarchy: section~\ref{sec:invamp}}  \\ \hline
+%\multirow{4}{*} {Differencing Amplifier FMMD Hierarchy: section~\ref{sec:diffamp}}  & & \\
+2 & Non inv Amp reused (see section~\ref{sec:noninvamp}) & 10 \\
+0 & Inverting amplifier     & 16      \\
+ & Differencing Amplifier: & FMMD 26 \\
+ & Differencing Amplifier: & RFMEA 80 \\ \hline
+  \hline
+ 
+ 
+ 
+ 
+ 
+\hline \hline
+\end{tabular}
+
+The complexity comparison figures for the example circuits in chapter~\ref{sec:chap5} show 
+that for increasing complexity the performance benefits from FMMD become apparent.
 
 % \subsection{Exponential squared to Exponential}
 % 
diff --git a/submission_thesis/thesis.tex b/submission_thesis/thesis.tex
index c36f405..b42f54b 100644
--- a/submission_thesis/thesis.tex
+++ b/submission_thesis/thesis.tex
@@ -2,6 +2,7 @@
 \documentclass[a4paper,10pt]{book}
 \usepackage{graphicx}
 \usepackage{fancyhdr}
+\usepackage{multirow}
 \usepackage{tikz} 
 \usetikzlibrary{shapes,snakes}
 \usetikzlibrary{shapes.gates.logic.US,trees,positioning,arrows}