@inproceedings{61a046d528534c0e8edc99d61efed227,
title = "Modelling the reliability of degradation processes through Markov renewal theory",
abstract = "In this paper, we study a general stochastic differential system that models the random increase of the main degradation mechanism observed in a given structure. This stochastic system belongs to the class of piecewise deterministic Markov processes (PDMP). It can be interpreted as a particular Markov renewal process. Thanks to Markov renewal theory, the exact reliability associated to the degradation process modeled through the PDMP can be formulated and computed numerically. This is done for a given system and compared with the empirical estimator obtained with Monte-Carlo techniques.",
author = "Julien Chiquet and Mohamed Eid and Nikolaos Limnios",
year = "2007",
month = dec,
day = "1",
language = "English",
isbn = "0415447860",
series = "Proceedings of the European Safety and Reliability Conference 2007, ESREL 2007 - Risk, Reliability and Societal Safety",
pages = "429--434",
booktitle = "Proceedings of the European Safety and Reliability Conference 2007, ESREL 2007 - Risk, Reliability and Societal Safety",
note = "European Safety and Reliability Conference 2007, ESREL 2007 - Risk, Reliability and Societal Safety ; Conference date: 25-06-2007 Through 27-06-2007",
}