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Expected Fault Group Size algorithmn

 
Description
 
The Expected Fault Group Size metric, which appears in the  HTML Fault Group Size Percentages section of the Fault Isolation Report, represents the expected number of replaceable items in fault groups isolated by the diagnostic sequence within the current diagnostic study. This probability-weighted metric reflects the expected number of replacements per isolation if the current diagnostics were to be coupled with a block replacement maintenance strategy.
 
Calculation
 
This Test limit can be calculated by summing the products of the size and aggregate failure probability of each isolated fault group and then dividing the sum by the Total Probability Detected:
where
N
=
the total number of isolated fault groups (Total Fault Groups)
FGi
=
the ith isolated fault group
|FGi|
=
the size (number of items) of FGi
Afp(FGi)
=
the aggregate failure probability associated with FGi
DetPr
=
 
Alternatively, this Test limit can be calculated by summing the products of the Test limits in fault group Size and % columns (under the Isolation Probabilitites Using Testing Only label) for each row in the Fault Group Size Statistics table. To simplify the equation (shown below), this can be calculated using all sizes up to and including the maximum isolated fault group size:
where
N
=
the maximum isolated fault group size
(the last entry in the Size column)
IsoPr(i)
=
the Isolation Probability Using Testing Only (the figure in the % column) that corresponds to isolated fault groups of size i
 
Standards, Handbooks and Publications
 
The following Standards, Handbooks and Publications provide information about this and/or similar metrics:
 
Metric
Standard
Expected Ambiguity Group Size
IEEE 1522 (2004)