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Lecturer(s)
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Course content
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1. Introduction, repetition of probability models 2. Basic failure models 3. Systems of independent components, serial, parallel 4. Component importance, reliability diagrams 5. FTA (Failure tree analysis) 6. Life data analysis 7. Counting processes 8. Accelerated life testing 9. Dependent failures, Markov models 10. Basic notions and models of repairs, renewal and maintenance 11. Models of noncomplete repairs, reliability of maintained systems 12. Monto Carlo method in reliability analysis 13. Analysis of risk, probability and cost 14. Optimal solutions
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Learning activities and teaching methods
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Monological explanation (lecture, presentation,briefing)
- Home preparation for classes
- 50 hours per semester
- Class attendance
- 56 hours per semester
- Semestral paper
- 25 hours per semester
- Preparation for credit
- 10 hours per semester
- Preparation for exam
- 40 hours per semester
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Learning outcomes
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The subject introduces students to the basic concepts and methods of the theory of reliability and risk assessment. The focus is put on probability and statistical models and procedures for the evaluation of the reliability of elements by means of reliability characteristics, for the calculation of the reliability characteristics of systems with the help of block schemes and the analyses of the tree diagrams of malfunction states. Complete and partial recovery models and procedures for the optimal back up and maintenance of production systems are included as well as methods of reliability testing ( accelerated testing, the analysis of censored data), the use of software (Matlab) and Monte Carlo method for reliability and risks assessment.
Basic knowledge of approaches and methods used in area of reliability analysis and risk assessing
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Prerequisites
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Basic knowledge of mathematical statistics and probability
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Assessment methods and criteria
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Oral exam, Written exam
Semestral work / test on models for reliability and their application. Examination: Solution of basic problems (incl. numerical, using PC), Knowledge of notions and basic schemes of reliability and risk evaluation
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Recommended literature
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Hoyland A., Rausand M. System Reliability Theory :Models and Statistical Methods,.
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Hurt J. Teorie spolehlivosti, MFF UK Praha 1984..
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