Characterization of system signatures

2012/08/23 by Alessandro D'Andrea, Alessandro D’Andrea, D'Andrea, Alessandro +3
Decision Sciences · Engineering · Mathematics · #Engineering Diagnostics and Reliability #Reliability and Maintenance Optimization #Risk and Safety Analysis #math.CO #math.PR

paper · pdf · doi:10.48550/arxiv.1208.4702

13 pages

arxiv created 2012/08/23 · arxiv updated 2012/08/24

Abstract

We suggest a purely combinatorial approach to a general problem in system reliability. We show how to determine if a given vector can be the signature of a system, and in the affirmative case exhibit such a system in terms on its structure function. The method employs results from the theory of simplicial sets, and provides a full characterization of signature vectors.

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