Mathematical Methods and Tools for Reliability and Risk Analysis

Type of study	Doctoral
Language of instruction	English
Code	470-6401/02
Abbreviation	MTSAR
Course title	Mathematical Methods and Tools for Reliability and Risk Analysis
Credits	10
Coordinating department	Department of Applied Mathematics
Course coordinator	prof. Ing. Radim Briš, CSc.

Subject syllabus

Lectures:
- 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.

E-learning

Basic materials are available on the educator's website:
http://homel.vsb.cz/~bri10,
Teaching,
MTS pro PES.zip

Literature

E. Zio: An Introduction to the Basics of Reliability and Risk Analysis, World Scientific 2007. .
E. Zio: Computational Methods for Reliability and Risk Analysis, World Scientific 2009, .
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, .

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