We introduce here the complete expansion of k�out�of�n systems, a kind of structures which have the property that components are totally ordered by their influence in the structure. They can be easily represented by two vectors, and by using them, we re-adapt the methods to calculate the Birnbaum and the Barlow-Proschan structural importance measures, obtaining significant simplifications respect to the previous existent formulas.
We also prove that for these structures it is possible to get a complete ordering of the components which respect to their structural importance.
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