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Mathematical Methods and Tools for Reliability and Risk Analysis

Mathematical Methods and Tools for Reliability and Risk Analysis
470-6401/01
čeština Mathematical Methods and Tools for Reliability and Risk Analysis
470-6401/02
angličtina

Summary

Basic methodology for probabilistic risk assessment.
Topics:
* Introduction to reliability mathematics.
* Models for system reliability, coherent systems and structure function;
* Boolean modelling, series, parallel and k out of n systems;
* Probability calculations for coherent systems;
* Representation of coherent systems by minimal paths and minimal cuts;
* Inclusion - exclusion formula, Estimation of reliability.
* Multi-state reliability theory, General Markov model for non maintained systems.
* Maintainability analysis.
* Fault Tree Analysis, Probabilistic risk assessment
* Monte Carlo Methods in Reliability.

Literature

E. Zio: An Introduction to the Basics of Reliability and Risk Analysis, World Scientific 2007. ISBN 978-981-270-639-3 .
E. Zio: Computational Methods for Reliability and Risk Analysis, World Scientific 2009, ISBN 978-981-283-901-5 .
Nozer D. Singpurwalla, Reliability and Risk, A Bayesian Perspective. Wiley 2006, ISBN 978-0-470-85502-7.

Advised literature

Modarres M., Kaminskiy M.P., Krivtsov V.: Reliability Engineering and Risk Analysis: A Practical Guide, 3rd Edition, CRC Press 2016, ISBN 978-1498745871 .


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Language of instruction čeština, angličtina
Code 470-6401
Abbreviation MTSAR
Course title Mathematical Methods and Tools for Reliability and Risk Analysis
Coordinating department Department of Applied Mathematics
Course coordinator prof. Ing. Radim Briš, CSc.