Semicoherent system; system signature; reliability function; domination vector
Résumé :
[en] The concept of signature is a useful tool in the analysis of semicoherent systems with continuous and i.i.d. component lifetimes, especially for the comparison of different system designs and the computation of the system reliability. For such systems, we provide conversion formulas between the signature and the reliability function through the corresponding vector of dominations and we derive efficient algorithms for the computation of any of these concepts from the other. We also show how the signature can be easily computed from the reliability function via basic manipulations such as differentiation, coefficient extraction, and integration.
Disciplines :
Ingénierie civile Mathématiques
Auteur, co-auteur :
MARICHAL, Jean-Luc ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Co-auteurs externes :
no
Langue du document :
Anglais
Titre :
Algorithms and formulas for conversion between system signatures and reliability functions
Date de publication/diffusion :
juin 2015
Titre du périodique :
Journal of Applied Probability
ISSN :
0021-9002
Maison d'édition :
Applied Probability Trust School of Mathematics & Statistics
