Mathematical Safety Analysis of Electronics in Vehicle Systems

Module nameMathematical Safety Analysis of Electronics in Vehicle Systems
Type of moduleSelectable mandatory module
Learning results,
competencies, qualification goals

The students are able to model, create and calculate complex electronic systems for safety-critical applications in vehicles on the basis of conventional mathematical methods. The lecture provides a basic understanding of the fundamental techniques of statistics and their application.

The students will learn about the significant approaches to the determination of complex, mathematical and statistical problems. Learning results with regard to the selectable mandatory module: After the completion of the lecture, the students will have developed knowledge about mathematical considerations regarding complex electronic systems in vehicles. They will be able to solve fundamental tasks in the field of statistics and safety technology independently.

Types of courses4 SWS (semester periods per week):       2 SWS lecture
                                                                 2 SWS exercise
Course contents
  • Introduction to safety engineering
  • Introduction to electronic engineering in vehicles
  • Safety-relevant electronics systems of a vehicle
  • Mathematical development methods for safety-related systems
  • The basic principles of safety, risk and hazard
  • Reliability and availability
  • Errors and error tolerance
  • Mathematical procedure models
  • System development in various industrial sectors
  • System development in the automotive sector
  • System development in the aviation sector
  • System development in the process automation
  • Maturity models
  • Mathematical concepts for the methodology of development Methodology of development
  • Requirements related to the methodology of development
  • Safety integrity
  • Automotive safety integrity levels (ASILs)
Teaching and learning methods
(forms of teaching and learning)
Lecture, presentation, learning by teaching, self-regulated learning, problem-based learning
Frequency of the module offeringSummer term /Winter term
LanguageEnglish
Recommended (substantive) requirements for the
participation in the module
Basics in mathematics
Requirements for the
participation in the module
Prerequisites according to examination regulations
Student  workload180 h:   60 h attendance studies
             120 h personal studies
Academic performancesNone
Precondition for the
admission to the
examination performance
None
Examination performanceDepending on the number of participants: written exam 60 – 180 min. or oral exam 20 – 40 min.
Number of credits
of the module
6 credits and 1 credit of them applies to the integrated key competencies
 
In charge of the moduleProf. Dr. Josef Börcsök
Teacher of the moduleDr. –Ing. Ossmane Krini
Forms of mediaProjector, black board, piece of paper, demonstrations and design work at the PC Literature references
Literature references
  • A. Papoulis: Probability, random variables, and stochastic processes, McGraw Hill, 1984
  • S. Lipschutz: Wahrscheinlichkeitsrechnung - Theorie und Anwendung, McGraw Hill, 1976
  • M. Fisz: Wahrscheinlichkeitsrechnung und mathematische Statistik, VEB Deutscher Verlag der Wissenschaften, 1989
  • F. Jondral, A. Wiesler, Wahrscheinlichkeitsrechnung und stochastische Prozesse, Teubner 2002
  • Börcsök, Josef, Functional Safety - Basic Principles of Safety-related Systems Hüthig-Verlag Heidelberg, 2007
  • Börcsök, Josef, Electronic Safety Systems - Hardware Concepts, Models and Calculations, Hüthig-Verlag Heidelberg, 2004
  • Martin Hillenbrand, Funktionale Sicherheit nach ISO 26262 in der Konzeptphase der Entwicklung von Elektrik / Elektronik Architekturen von Fahrzeugen, Karlsruher Institut für Technologie (KIT)
  • Ross, H.-L., Funktionale Sicherheit im Automobil: Die Herausforderung für Elektromobilität und automatisiertes Fahren, 2., vollständig überarbeitete Auflage. Hanser eLibrary. München: Carl Hanser Verlag GmbH & Co. KG, 2019.
  • Ross, H.-L., Funktionale Sicherheit im Automobil: ISO 26262, Systemengineering auf Basis eines Sicherheitslebenszyklus und bewährten Managementsystemen. München: Carl Hanser Verlag GmbH & Co. KG, 2014. www.hanser-elibrary.com/doi/book/10.3139/9783446438408.
  • Hillenbrand, M., Funktionale Sicherheit nach ISO 26262 in der Konzeptphase der Entwicklung von Elektrik/Elektronik Architekturen von Fahrzeugen. Erscheinungsort nicht ermittelbar: KIT Scientific Publishing, 2012. directory.doabooks.org/handle/20.500.12854/48217.
  • Gebhardt, V., Rieger, G. M., Mottok, J., and Gießelbach, C., Funktionale Sicherheit nach ISO 26262: Ein Praxisleitfaden zur Umsetzung, 1. Auflage. Heidelberg: dpunkt.verlag, 2013. nbn-resolving.org/urn:nbn:de:bsz:31-epflicht-1301980.
  • Montenegro, S., Sichere und fehlertolerante Steuerungen: Entwicklung sicherheitsrelevanter Systeme. München, Wien: Carl Hanser Verlag, 1999.
  • Schnieder, L. and Hosse, R. S., Leitfaden Safety of the Intended Functionality: Verfeinerung der Sicherheit der Sollfunktion auf dem Weg zum autonomen Fahren /  Lars Schnieder, René S. Hosse, Second edition. essentials. Wiesbaden: Springer Vieweg, 2020.
  • Kumamoto, H. and Henley, E. J., Probabilistic risk assessment and management for engineers and scientists, 2nd ed. New York: IEEE Press, 1996.
  • Birolini, A., Zuverlässigkeit von Geräten und Systemen. Springer eBook Collection Computer Science and Engineering. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997.
  • Birolini, A., Reliability engineering: Theory and practice, 8th edition. New York NY: Springer Berlin Heidelberg, 2017.
  • Birolini, A., Reliability engineering: Theory and practice /  Alessandro Birolini, 5th ed. Berlin, New York: Springer, 2007.
  • Schnieder, L. and Hosse, R. S., Leitfaden Safety of the Intended Functionality: Verfeinerung der Sicherheit der Sollfunktion auf dem Weg zum autonomen Fahren /  Lars Schnieder, René S. Hosse, Second edition. essentials. Wiesbaden: Springer Vieweg, 2020.
  • Montenegro, S., Sichere und fehlertolerante Steuerungen: Entwicklung sicherheitsrelevanter Systeme. München, Wien: Carl Hanser Verlag, 1999.

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