[ TM1WCVOZUVE ] VL Reliability theory





Workload 
Education level 
Study areas 
Responsible person 
Hours per week 
Coordinating university 
3 ECTS 
B3  Bachelor's programme 3. year 
Mathematics 
Dmitry Efrosinin 
2 hpw 
Johannes Kepler University Linz 



Detailed information 
Original study plan 
Bachelor's programme Technical Mathematics 2009W 
Objectives 
We provide a comprehensive overview of reliability theory areas with practical relevance; ensuring reliability and lifetime of a device from the early concept to the analysis of Markov chains.
A device is assembled from different components. The failure probability of the individual components is known.
Typical questions of reliability theory:
 What is the failure probability of the device?
 What is the distribution of the lifetime of a device?
 Should components still be intact after a certain number of operating hours
be replaced by new ones?
 For which components should spare parts be provided?
 How many spare parts must be available to keep a device operating with a given probability for a certain period of time
can?

Subject 
 Systems
 Intact probabilities
 Lifetime distributions of systems
 Life expectancy estimates
 Markov processes with finite state space

Criteria for evaluation 
The written exam at the end of the semester

Methods 
Slides and blackboard

Language 
German 
Study material 
script

Changing subject? 
No 



Onsite course 
Maximum number of participants 
 
Assignment procedure 
Direct assignment 
