Preprint submitted to Quality and Reliability Engineering International.
Non-Markovian State-Space Models in Dependability Evaluation†
Article first published online: 26 JAN 2012
Copyright © 2012 John Wiley & Sons, Ltd.
Quality and Reliability Engineering International
Volume 29, Issue 2, pages 225–239, March 2013
How to Cite
Distefano, S. and Trivedi, K. S. (2013), Non-Markovian State-Space Models in Dependability Evaluation. Qual. Reliab. Engng. Int., 29: 225–239. doi: 10.1002/qre.1305
- Issue published online: 18 FEB 2013
- Article first published online: 26 JAN 2012
- Manuscript Accepted: 13 OCT 2011
- Manuscript Revised: 1 JUL 2011
- Manuscript Received: 12 OCT 2010
- state space models;
- non-Markovian techniques
The purpose of this paper is to provide an up-to-date treatment of advanced analytic, state-space based techniques to study dependability models with non-exponential distributions. We first provide an overview of different techniques for the solution of non-Markovian state-space based models, including phase-type expansion and a general framework which allows us to deal with renewal, semi-Markov, and Markov-regenerative processes, trying to characterize them on dependability contexts. In the last part of the paper, we illustrate these techniques by means of some examples dealing with common non-exponential reliability behaviors. Our aim is to provide a reference for practising engineers, researchers, and students in state-space dependability modeling and evaluation. Copyright © 2012 John Wiley & Sons, Ltd.