Reliability analysis of semicoherent systems through their lattice polynomial descriptions
Probability
2008-09-09 v1 Rings and Algebras
Abstract
A semicoherent system can be described by its structure function or, equivalently, by a lattice polynomial function expressing the system lifetime in terms of the component lifetimes. In this paper we point out the parallelism between the two descriptions and use the natural connection of lattice polynomial functions and relevant random events to collect exact formulas for the system reliability. We also discuss the equivalence between calculating the reliability of semicoherent systems and calculating the distribution function of a lattice polynomial function of random variables.
Keywords
Cite
@article{arxiv.0809.1332,
title = {Reliability analysis of semicoherent systems through their lattice polynomial descriptions},
author = {Alexander Dukhovny and Jean-Luc Marichal},
journal= {arXiv preprint arXiv:0809.1332},
year = {2008}
}
Comments
19 pages