Basic materials are available on the educator's website:
http://homel.vsb.cz/~bri10,
Teaching,
MTS pro PES.zip
Terminated in academic year 2024/2025
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.
- 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
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.
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.