# 2019/2020

## Prerequisite/Recommended prerequisite for participation in the module

Probability, statistics and stochastic processes

## Content, progress and pedagogy of the module

Purpose

The course purpose consists of two parts:

• To contribute to students’ attainment of comprehension of fundamental principles for reliability modelling
• To contribute to students’ attainment of comprehension of fundamental principles for reliability analysis

Content

• Principles of reliability modelling
• Quality and reliability
• Creating reliability vs. measuring reliability
• Failure modes, causes and mechanisms
• Probabilistic models of failure phenomena
• Essentials of probability theory
• Probabilistic definition of reliability
• Component reliability
• Common distribution in component reliability
• Component reliability model selection
• System reliability analysis
• Structure analysis and design
• Reliability block diagram method
• Fault modes and effects analysis
• Fault tree analysis
• Hazard and risk analysis
• Reliability analysis of dynamic systems
• Markov theory and applications
• Simulation methods (Monte Carlo methods)
• Analysis of fault tolerant systems
• Bayesian analysis
• Foundations of Bayesian statistical inference
• Bayesian inference in reliability
• Performing Bayesian reliability analysis
• Bayesian decision and estimation theory
• Uncertainty analysis and propagation methods
• Measuring uncertainty
• Uncertainty propagation
• Reliability in computer systems
• Hardware reliability vs. software reliability
• Software reliability improvement methods
• Software reliability assessment methods

### Learning objectives

#### Knowledge

• Have comprehension of fundamental principles for reliability modelling and analysis
• Have comprehension of  reliability analysis using logic diagrams
• Have comprehension of Bayesian methods for simple reliability modelling and analysis

#### Skills

• Be able to apply probabilistic methods for reliability modelling and analysis.
• Be able to judge the usefulness of the set up methods
• Be able to relate the methods to applications in the industry

#### Competences

• Independently be able to define and analyze scientific problems within the area of reliability modelling and analysis.
• Independently be able to be a part of professional and interdisciplinary development work within the area of reliability modelling and analysis.

### Type of instruction

The program is based on a combination of academic, problem-oriented and interdisciplinary approaches and organized based on the following work and evaluation methods that combine skills and reflection:

• Lectures
• Classroom instruction
• Project work
• Workshops
• Exercises (individually and in groups)
• Teacher feedback
• Reflection
• Portfolio work

Since it is a 5 ECTS course module, the work load is expected to be 150 hours for the student

## Exam

### Exams

 Name of exam Reliability Modeling and Analysis Type of exam Written or oral exam ECTS 5 Assessment 7-point grading scale Type of grading Internal examination Criteria of assessment As stated in the Joint Programme Regulations. http:/​/​www.engineering.aau.dk/​uddannelse/​studieadministration/​