English

Characterization of system signatures

Probability 2012-08-24 v1 Combinatorics

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.

Keywords

Cite

@article{arxiv.1208.4702,
  title  = {Characterization of system signatures},
  author = {Alessandro D'Andrea and Luca De Sanctis},
  journal= {arXiv preprint arXiv:1208.4702},
  year   = {2012}
}

Comments

13 pages

R2 v1 2026-06-21T21:54:22.092Z