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Isolation Probabilities Using Lambda Search - % Column

Description
 
This column is listed under the Isolation Probabilities Using Lambda Search label in the Fault Group Size Percentages section of the Fault Isolation Report. Each entry in this column contains the probability that a fault diagnosed using the given diagnostic sequence can be repaired using the number of serial item replacements indicated in the corresponding row in the Size column. This calculation assumes that the system will be maintained using Serial Replacement prioritized using Lambda Search.
 
Calculation
 
This Test limit can be calculated by summing, for each fault group, the isolated failure probability of the item with the ith highest probability (with i being the number of replacements indicated in the Size column), provided that the Lambda Search Criteria have been met. The following equation can be used to calculate this metric:
where
x
=
the specified number of replacement items (Size column)
N
=
the total number of isolated fault groups (Total Fault Groups)
Lix
=
1 if FGi contains at least x replacement items and the xth item
(the items being alphabetically sorted in order of their isolated failure probability) meets the specified Lambda Search Criteria; 0 otherwise
FGi
=
the ith isolated fault group
Ifp(x,FGi)
=
the isolated failure probability associated with the xth item in FGi
(the items being alphabetically sorted in order of their isolated failure probability)
DetPr
=
 
Note: Because fault isolation statistics are calculated over the set of detected failures, the Test limits in this column will add up to 100.00 even when the Total Probability Detected is less than 100.00 for the diagnostic sequence generated in the current diagnostic study.