working at night, cycling home soon

This commit is contained in:
Robin Clark 2011-11-10 18:19:24 +00:00
parent ab90f5a43b
commit 7b3b8bfa52
5 changed files with 19 additions and 6 deletions

View File

@ -1,6 +1,6 @@
PNG_DIA = circuit1_dag.png mvampcircuit.png pd.png invamp.png shared_component.png
PNG_DIA = circuit1_dag.png mvampcircuit.png pd.png invamp.png shared_component.png tree_abstraction_levels.png

View File

@ -557,7 +557,16 @@ at even higher abstraction levels. Eventually we will have a hierarchy
that converges to one top level {\dc}. At this stage we have a complete failure
mode model of the system under investigation.
\begin{figure}[h]
\centering
\includegraphics[width=200pt,keepaspectratio=true]{./tree_abstraction_levels.png}
% tree_abstraction_levels.png: 495x292 pixel, 72dpi, 17.46x10.30 cm, bb=0 0 495 292
\caption{FMMD Hierarchy showing ascending abstraction levels}
\label{fig:treeabslev}
\end{figure}
Figure~\ref{fig:treeabslev} shows an FMMD hierarchy, where the process of creating a {\dc} from a {\fg}
is shown as a `$\bowtie$' symbol.
\subsection{An algebraic notation for identifying FMMD enitities}
@ -576,8 +585,8 @@ as
\begin{equation}
fm : \mathcal{C} \rightarrow \mathcal{P}\mathcal{F}.
\end{equation}
This is defined by, where C is a component and F is a set of failure modes,
$ fm ( C ) = F. $
This is defined by, where $c$ is a component and $F$ is a set of failure modes,
$ fm ( c ) = F. $
We can use the variable name $FG$ to represent a {\fg}. A {\fg} is a collection
of components.
@ -603,12 +612,15 @@ fm : \mathcal{FG} \rightarrow \mathcal{P}\mathcal{F}.
%$$ \mathcal{fm}(C) \rightarrow S $$
%$$ {fm}(C) \rightarrow S $$
\paragraph{Abstraction Levels of {\fgs} and {\dcs}}
We can indicate the abstraction level of a component by using a superscript.
Thus for the component $c$, where it is a `base component' we can assign it
the abstraction level zero, $c^0$. Should we wish to index the components
(for example as in a product parts~list) we can use a sub-script.
Our base component (if first in the parts~list) could now be uniquely identified as
(for example as in a product parts-list) we can use a sub-script.
Our base component (if first in the parts-list) could now be uniquely identified as
$c^0_1$.
We can further define the abstraction level of a {\fg}.

Binary file not shown.

Binary file not shown.

View File

@ -1,4 +1,5 @@
\documentclass{beamer}
\documentclass[12pt]{beamer}
%\documentclass[12pt,handout]{beamer}
\title[Failure Mode Effects Analysis]{Failure Mode Effects Analysis\\A critical view}
\usetheme{Warsaw}
\usepackage[latin1]{inputenc}