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Multi-Phase Markov models for functional safety prediction: Efficient simulation of Markov models used for safety engineering and the online integration of individual systems' diagnostic and maintenance history

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2 Author(s)
Felgner, F. ; Dept. of Autom., Saarland Univ., Saarbrücken, Germany ; Frey, G.

The contribution first describes the implementation of Continuous-Time Markov Chains (CTMC) in the language Modelica; this enables the simulation by powerful solvers making typical Functional Safety applications numerically more efficient and reliable than with classically used Discrete-Time Markov Chains (DTMC). Secondly, the CTMC are extended to Multi-Phase Markov Chains (CTMCMP) enabling the inclusion of maintenance (restoration) actions as well as online diagnostics, which is finally elaborated to the online prediction of an individual system's safety quantities.

Published in:

Dependable Control of Discrete Systems (DCDS), 2011 3rd International Workshop on

Date of Conference:

15-17 June 2011

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