Course detail
Reliability and Quality
FSI-SSJ Acad. year: 2025/2026 Winter semester
The course is concerned with basics of the reliability theory and quality control methods: functional and numerical characteristics of lifetime, selected probability distributions, statistical methods for analyses of lifetime data, process capability analysis, control charts, measurement system analysis. Practice datasets will be analyzed using the software Minitab.
Supervisor
Department
Learning outcomes of the course unit
Prerequisites
Knowledge of basic and advanced methods of probability theory and mathematical statistics is assumed (statistical hypothesis testing, maximum likelihood estimation).
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
Conditions for passing the exam: mastering practical examples on a PC, meaning adequate (oral) discussion of software otputs.
Attendance at seminars is controlled and the teacher decides on the compensation for absences.
Language of instruction
Czech
Aims
The aim of the course is to familiarize Mathematical Engineering majors with reliability theory methods for modeling and evaluating the reliability of technical systems, with mathematical statistics methods for process quality control. Students will gain essential knowledge in the crucial fields of reliability theory and quality control, empowering them to use computer modeling to identify significant quality attributes of technical systems and processes using statistical data.
Specification of controlled education, way of implementation and compensation for absences
The study programmes with the given course
Programme N-MAI-P: Mathematical Engineering, Master's
branch ---: no specialisation, 4 credits, compulsory-optional
Type of course unit
Lecture
26 hours, compulsory
Syllabus
MSA for continuous data
MSA for attributes
Process stability (control charts)
Process capability
Process capability for nonnormally distributed data
Functional and numerical characteristics of reliability
Censoring, nonaprametric reliability analysis (Kaplan-Meier)
Probability distribution of time to failure and their likelihood.
Parametric analysis of reliability, likelihood ratio test
Competing failure mode model for reliability
Demostration and estimation test plans
Accelerated life testing.
Computer-assisted exercise
13 hours, compulsory
Syllabus
MSA for continuous data
MSA for attributes
Process stability (control charts)
Process capability
Process capability for nonnormally distributed data
Functional and numerical characteristics of reliability
Censoring, nonaprametric reliability analysis (Kaplan-Meier)
Probability distribution of time to failure and their likelihood.
Parametric analysis of reliability, likelihood ratio test
Competing failure mode model for reliability
Demostration and estimation test plans
Accelerated life testing.