diff --git a/mybib.bib b/mybib.bib index a23aeab..ffa716a 100644 --- a/mybib.bib +++ b/mybib.bib @@ -271,10 +271,12 @@ ISSN={Doi:10.1145/2330667.2330683},} @ARTICLE{fftoriginal, - title={An Algorithm for the Mechine Calculation of Complex Fourier Series}, + title={An Algorithm for the Machine Calculation of Complex Fourier Series}, author={James W. Cooley and John W. Tukey}, journal={Mathematics of Computation}, year={1965}, + + volume={19}, pages={297-301}, publisher={American Mathematical Society} @@ -483,6 +485,13 @@ Database YEAR = "1991" } +@ARTICLE{fmeca, + AUTHOR = "United States DOD", + TITLE = "MIL-STD-1629A: Procedure for performing a failure mode, effects and criticality analysis", + JOURNAL = "United States Department of Defence", + YEAR = "1980" +} + % $Id: mybib.bib,v 1.3 2009/11/28 20:05:52 robin Exp $ @article{Clark200519, title = "Failure Mode Modular De-Composition Using Spider Diagrams", @@ -790,8 +799,8 @@ strength of materials, the causes of boiler explosions", @BOOK{mil1991, AUTHOR = "United~States~DOD", - TITLE = "Reliability Prediction of Electronic Equipment", - PUBLISHER = "DOD", + TITLE = "MIL-1991: Reliability Prediction of Electronic Equipment", + PUBLISHER = "United States Department of Defence", YEAR = "1991" } diff --git a/related_papers_books/FMECA_Mil-Std-1629A.pdf b/related_papers_books/FMECA_Mil-Std-1629A.pdf new file mode 100644 index 0000000..10346fe Binary files /dev/null and b/related_papers_books/FMECA_Mil-Std-1629A.pdf differ diff --git a/submission_thesis/CH7_Evaluation/copy.tex b/submission_thesis/CH7_Evaluation/copy.tex index 8e04121..07e3958 100644 --- a/submission_thesis/CH7_Evaluation/copy.tex +++ b/submission_thesis/CH7_Evaluation/copy.tex @@ -1154,20 +1154,26 @@ $ \Omega(C) = fm(C) \cup \{OK\} $). The $OK$ statistical case is the (usually) largest in probability, and is therefore of interest when analysing systems from a statistical perspective. +% For these examples, the OK state is not represented area proportionately, but is included in the diagrams. +% This type of diagram is germane to the application of conditional probability calculations such as Bayes theorem~\cite{probstat}. - -The current failure modelling methodologies (FMEA, FMECA, FTA, FMEDA) all use Bayesian -statistics to justify their methodologies~\cite{nucfta}\cite{nasafta}. +% +The current failure modelling methodologies +(FMECA~\cite{fmeca}, FTA~\cite{nucfta}\cite{nasafta}, FMEDA~\cite{en61508}) +use Bayesian +statistics to justify their methodologies. +% That is to say, a base component or a sub-system failure has a probability of causing given system level failures\footnote{FMECA has a $\beta$ value that directly corresponds to the probability that a given part failure mode will cause a given system level failure/event.}. - +% Another way to view this is to consider the failure modes of a component, with the $OK$ state, as a universal set $\Omega$, where all sets within $\Omega$ are partitioned. +% Figure \ref{fig:combco} shows a partitioned set representing component failure modes $\{ B_1 ... B_3, OK \}$: partitioned sets where the OK or empty set condition is included, obey unitary state conditions. @@ -1193,7 +1199,8 @@ This would make it seemingly impossible to model as `unitary state'. There are two ways in which we can deal with this. We could consider the component a composite of two simpler components, and model their interaction to -create a derived component (i.e. use FMMD on the simpler components). +create a derived component (i.e. use FMMD). +% The second way to do this would be to consider the combnations of non-mutually exclusive {\fms} as new {\fms}: this approach is discussed below.