robin/Robin_PHD
1
0
Fork 0
Code Issues Pull Requests Actions Packages Projects Releases Wiki Activity

Meeting with Andrew and John

Browse Source 
equations made general for the
reasoning distance w=hich will now be called
comparison complexity
This commit is contained in:
Robin Clark 2011-11-18 17:58:25 +00:00
parent bc2e34b955
commit 7d4f33eaa8
2 changed files with 8 additions and 5 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

13
opamp_circuits_C_GARRETT/opamps.tex
View File

@ -660,7 +660,7 @@ it was derived from.
We can stipulate that symptom collection process is surjective. We can stipulate that symptom collection process is surjective.
% i.e. $ \forall f in F $ % i.e. $ \forall f in F $
By stipulating surjection for symptom collection, we ensure By stipulating surjection for symptom collection, we ensure
that each component failure mode maps to at least one one symptom. that each component failure mode maps to at least one symptom.
We also ensure that all symptoms have at least one component failure We also ensure that all symptoms have at least one component failure
mode (i.e. one or more failure modes that caused it). mode (i.e. one or more failure modes that caused it).
% %
@ -670,13 +670,14 @@ mode (i.e. one or more failure modes that caused it).
By applying stages of analysis to higher and higher abstraction By applying stages of analysis to higher and higher abstraction
levels, we can converge to a complete failure mode model of the system under analysis. levels, we can converge to a complete failure mode model of the system under analysis.
Because the symptom abstraction process is defined as surjective (from component failure modes to symptoms) Because the symptom abstraction process is defined as surjective (from component failure modes to symptoms)
the number of symptoms is guaranteed to the less than or equal to the number of symptoms is guaranteed to be less than or equal to
the number of component failure modes. the number of component failure modes.
In practise however, the number of symptoms greatly reduces as we traverse In practise however, the number of symptoms greatly reduces as we traverse
up the hierarchy. up the hierarchy.
This is a natural process. When we have a complicated systems This is a natural process. When we have complicated systems
they always have a small number of system failure modes. they always have a small number of system failure modes in comparison to
the number of failure modes in its sub-systems/components..
\clearpage \clearpage
\section{Side Effects: A Problem for FMMD analysis} \section{Side Effects: A Problem for FMMD analysis}
@ -896,7 +897,9 @@ $RD(fg) = \sum_{n=1}^{27} |3|.(|27|-1) = 2106$.
In order to get general equations with which to compare RFMEA with FMMD In order to get general equations with which to compare RFMEA with FMMD
we can re-write equation~\ref{eqn:rd} in terms of the number of levels we can re-write equation~\ref{eqn:rd} in terms of the number of levels
in an FMMD hierarchy. The number of components in is number of components in an FMMD hierarchy.
%
The number of components in the system, is number of components
in a {\fg} raised to the power of the level plus one. in a {\fg} raised to the power of the level plus one.
Thus we re-write equation~\ref{eqn:rd} as: Thus we re-write equation~\ref{eqn:rd} as:

BIN
related_papers_books/White_board_18NOV2011IMG_0607.JPG Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 213 KiB