[ 201WTMSRETV22 ] VL Reliability Theory

Es ist eine neuere Version 2023W dieser LV im Curriculum Master's programme Industrial Mathematics 2023W vorhanden.
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 2022W
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?
  1. Systems
  2. Intact probabilities
  3. Lifetime distributions of systems
  4. Life expectancy estimates
  5. Markov processes with finite state space
Criteria for evaluation Written exam
Methods Slides and blackboard presentation
Language English and French
Study material Lecture notes
Changing subject? No
Further information Until term 2022S known as: TM1WCVOZUVE VL Reliability theory
Earlier variants They also cover the requirements of the curriculum (from - to)
TM1WCVOZUVE: VO Reliability theory (2003S-2022S)
On-site course
Maximum number of participants -
Assignment procedure Direct assignment