From 219d4774b15ef117ade126ae924668eda0d4e4c4 Mon Sep 17 00:00:00 2001
From: Robin Clark <r.clark@energytechnologycontrol.com>
Date: Mon, 22 Nov 2010 14:12:40 +0000
Subject: [PATCH] Monday Lunchtime edit

---
 .../component_failure_modes_definition.tex    | 36 +++++++++++++++++--
 fmmd_design_aide/fmmd_design_aide.tex         |  2 +-
 2 files changed, 35 insertions(+), 3 deletions(-)

diff --git a/component_failure_modes_definition/component_failure_modes_definition.tex b/component_failure_modes_definition/component_failure_modes_definition.tex
index 3023182..7b69545 100644
--- a/component_failure_modes_definition/component_failure_modes_definition.tex
+++ b/component_failure_modes_definition/component_failure_modes_definition.tex
@@ -245,7 +245,7 @@ this can be expresed as  $ \bowtie : \mathcal{FG}  \rightarrow \mathcal{DC} $ .
 
 
 \subsection{Keeping track of the derived components position in the hierarchy}
-
+\label{alpha}
 The UML meta model in figure \ref{fig:cfg}, shows the relationships
 between the classes and sub-classes.
 Note that because we can use derived components to build functional groups,
@@ -772,9 +772,41 @@ are added to  UML diagram in figure \ref{fig:cfg} and represented in figure \ref
  \label{fig:cfg2}
 \end{figure}
 
+{ \huge This might become a chapter in its own right after fmmdset }
+
+\section{From UML Model to Object Model}
+
+Let us consider a theoretical FMMD model. For the sake of simplicity
+consider that all components and functional groups have only two failure modes that
+we will label $a$ and $b$.
+We can start with some base components, of types C and K  say, $\{ C_1, C_2, C_3, K_4, C_5, C_6, K_7 \}$.
+For the sake of example, let us say that each component has two failure
+modes $a$ and $b$. So the function $fm$ applied to
+$C_1$ yields $C_{1 a}$ and $C_{1 b}$.
+
+HOW UML OBJECT MODEL OF COMPONENT AND ITS ERROR MODES
+
+We can organise these into functional groups (where the superscript represents the $\alpha$ value, see section \ref{alpha}), thus:
+
+$$ FG^0_1 = \{C_1, C_2\}$$
+$$ FG^0_2 = \{C_1, C_3, C_4\}$$
+$$ FG^0_3 = \{C_5, C_6, C_7\}$$
+
+A processes of symptom extraction is now applied to the functional groups.
+Again for the sake of example, let us say that each functional
+group has one or two symptoms again subscripted by $a$ and $b$.
+
+Applying symptom abstraction to $FG^0_1$ i.e. $\bowtie fm ( FG^0_1 ) = \{ FG^0_{1 a}, FG^0_{1 b}  \} $ 
+We can now create a new derived component, $DC^1_1$, whose failure
+modes are the symptoms of $FG^0_1 $ thus $ fm ( {DC}^1_1 )  = \{ FG^0_{1 a}, FG^0_{1 b}  \} $.
+
+UML OBJECT MODEL OF  DERIVED COMPONENT TOO
 
 
-\section{From UML Model to Data Model}
+
+
+\subsection{Using Derived Components in Functional Groups}
+
 
 HERE should how the hierarchy is built, how the inheritance works etc
 
diff --git a/fmmd_design_aide/fmmd_design_aide.tex b/fmmd_design_aide/fmmd_design_aide.tex
index 896ba42..3d07987 100644
--- a/fmmd_design_aide/fmmd_design_aide.tex
+++ b/fmmd_design_aide/fmmd_design_aide.tex
@@ -369,7 +369,7 @@ a functional group.
 The next stage is to take the two derived components 
 and place them into a functional group.
 We can now analyse this functional
-grou w.r.t the failure modes in the two derived compoennts.
+group w.r.t the failure modes in the two derived compoennts.
 
 \vspace{20pt}
 Draw FMMD hierarchy diagram.