Terminated in academic year 2010/2011

Mathematical Methods and Tools for Reliability and Risk Analysis

Type of study	Master
Language of instruction	Czech
Code	457-0913/01
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.

Literature

Barlow R.E., Proschan F.; Mathematical Theory of Reliability, SIAM 1996, ISBN 0-89871-369-2
Misra K.B.; Reliability Analysis and Prediction, Elsevier 1992, ISBN 0-444-89606-6.
Fleming T.R., Harrington D.P.: Counting Processes and Survival Analysis, Wiley 1991, ISBN 0-471-52218-X.
Modares M.; What Every Engineer Should Know About Reliability and Risk Analysis, Dekker 1993 ISBN 0-8247-8958-X.
Crowder M.J., Kimber A.C., Smith R.L., Sweeting T.J.; Statistical Analysis of Reliability Data; Chapman and Hall 1991, ISBN 0-412-30560-7

Doporučená literatura

Fleming T.R., Harrington D.P.: Counting Processes and Survival Analysis,
Wiley 1991, ISBN 0-471-52218-X
Modares M.; What Every Engineer Should Know About Reliability and Risk
Analysis, Dekker 1993 ISBN 0-8247-8958-X.

back to search page