lunchtime work edit
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@ -50,7 +50,7 @@ component by its name, a manufacturers part number and perhaps
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a vendors reference number.
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What these components all have in common is that they can fail, and fail in
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a number of well defined ways. For common components
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there is established literature for the failure modes for the system designer consider (with accompanying statistical
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there is established literature for the failure modes for the system designer consider (often with accompanying statistical
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failure rates)\cite{mil1991}. For instance, a simple resistor is generally considered
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to fail in two ways, it can go open circuit or it can short.
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Thus we can associate a set of faults to this component $ResistorFaultModes=\{OPEN, SHORT\}$.
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@ -98,24 +98,27 @@ The aim of FMMD analysis is to produce complete failure
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models of safety critical systems from the bottom-up,
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starting, where possible with known component failure modes.
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An advantage of working from the bottom up is that we can ensure that
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all component failure modes must be considered. A top down approach
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could miss individual failure modes of components.
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In order to analyse from the bottom-up, we need to take
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small groups of components from the parts~list that naturally
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work together to perform a simple function.
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The components to include in a functional group are chosen by a human, the analyst.
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We can term this a `Functional~Group' and represent it as a class. When we have a
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`Functional~Group' we can look at the failure modes of all the components
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in it and determine a failure mode behaviour for that group.
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in it and determine a failure mode model for that group.
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Or in other words we can determine the failure modes of the functional
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group. An advantage of working from the bottom up is that we can ensure that
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all component failure modes must be considered. A top down approach
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could miss individual failure modes of components.
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group. We can now consider the functional group as a sort of super component
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with a know set of failure modes.
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\subsection{From functional group to newly derived component}
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The process for taking a functional~group, considering
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all the failure modes of all the components in it,
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and analysing these is called `symptom abstraction' and
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all the failure modes of all the components in the group,
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and analysing it is called `symptom abstraction' and
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is dealt with in detail in chapter \ref{symptom_abstraction}.
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In terms of our UML model the symptom abstraction process takes a functional~group,
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@ -126,7 +129,7 @@ and creates a new derived component from it.
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%must consider all the failure modes of the components in the functional
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%group.
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The newly created derived~component requires a set of failure modes of its own.
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These failure modes are the failure mode behaviour of the fungtional group that it was derived from.
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These failure modes are the failure mode behaviour of the functional group that it was derived from.
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Because these new failure modes were determined from a derived component we can call
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these `derived~failure~modes'.
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%It then creates a new derived~component object, and associates it to this new set of derived~failure~modes.
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@ -252,10 +255,9 @@ we state this formally
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% \end{equation}
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That is to say that it is impossible that any pair of failure modes can be active at the same time
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for the failure mode set $F$ to exists in the family of sets $U$
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for the failure mode set $F$ to exist in the family of sets $U$.
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Note where that are more than two failure~modes,
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by banning pairs from being active at the same time
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by banning any pairs from being active at the same time
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we have banned larger combinations as well.
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@ -263,7 +265,7 @@ we have banned larger combinations as well.
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\section{Component Failure Modes and Statistical Sample Space}
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%\paragraph{NOT WRITTEN YET PLEASE IGNORE}
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A sample space is defined as the set of all possible outcomes.
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For a component this set of all possible outcomes are its normal correct
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For a component in FMMD analysis, this set of all possible outcomes is its normal correct
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operating state and all its failure modes.
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When dealing with failure modes, we are not interested in
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the state where the component is working perfectly or `OK' (i.e. operating with no error).
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