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Robin Clark 2013-06-23 17:33:05 +01:00
parent 517b1a7919
commit 15ef1c6158
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5
submission_thesis/CH4_FMMD/Makefile
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@ -2,7 +2,12 @@
PNG_DIA = cfg2.png cfg.png compco2.png compco3.png compco.png component.png componentpl.png fmmd_uml2.png fmmd_uml.png partitioncfm.png master_uml.png top_down_de_comp.png dc1.png dc2.png eulerfmmd.png
compco2.png:
dia -t png compco2.dia
echo " put shaded area in "
gimp $@
%.png:%.dia
dia -t png $<
echo " Chapter 4 DIA images generated"

10
submission_thesis/CH7_Evaluation/copy.tex
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@ -80,7 +80,7 @@ each particular failure mode?
%
Often a component failing will have obvious effects on functionally adjacent components.
Sometimes %though, perhaps in the case of de-coupling capacitors in a digital ciruit,
side effects of failure may manifest due interaction with other components not obviously functionally related.
side effects of failure may manifest due to interaction with other components not obviously functionally related.
%% CONTEXT OF SYSTEM FAILURE: PERHAPS NOT RELEVANT HERE
%
% The symptoms of failure are dependent upon the context, or environment that the system operates in.
@ -266,7 +266,7 @@ we overload the comparison complexity function $CC$, to obtain the comparison co
\subsection{Complexity Comparison Examples}
%\pagebreak[4]
We initially work though the chapter ~\ref{sec:chap4} amplifier example, which has two
We initially work though the chapter~\ref{sec:chap4} amplifier example, which has two
stages, the potential divider and then the amplifier. We add the complexities from
both these stages to determine how many reasoning paths there were to perform FMMD analysis on the
non-inverting amplifier.
@ -279,7 +279,7 @@ $$CC(potdiv) = \sum_{n=1}^{2} \big( |2| \times (|1|) \big) = 4. $$
We next combine the potential divider with an op-amp which has four failure modes
to form a {\fg} with two components, one with four failure modes and the other (the potential divider) with two.
$$CC(invamp) = 2 \times 1 + 4 \times 1 = 6 $$
%
We now add the two calculated complexities to determine the
amount of reasoning paths to analyse the amplifier using FMMD.
%
@ -335,7 +335,7 @@ process are by-hand/human activities. It can be seen that it is practically impo
\end{figure}
\subsection{Comparing FMMD and {\XFMEA} comparison complexity}
\subsection{Comparing FMMD and {\XFMEA} Comparison Complexity}
Because components have variable numbers of failure modes,
and {\fgs} have variable numbers of components, it is difficult to
@ -909,7 +909,7 @@ Note that $\mathcal{P}_{1} S $ (non-empty subsets where cardinality $\leq 1$) fo
$$ \mathcal{P}_{1} S = \{ \{a\},\{b\},\{c\} \} $$.
\paragraph{Calculating the number of elements in a cardinality constrained power-set}
\paragraph{Calculating the number of elements in a Cardinality Constrained power-set}
A $k$ combination is a subset with $k$ elements.
The number of $k$ combinations (each of size $k$) from a set $S$