Course detail
Reliability and Quality
FSI-SSJ-A Acad. year: 2025/2026 Winter semester
The course is concerned with the reliability theory and quality control methods: functional and numerical characteristics of lifetime, selected probability distributions, calculation of system reliability, statistical methods for measure lifetime date, process capability analysis, control charts, principles of statistical acceptance procedure. Elaboration of project of reliability and quality control out using the software Statistica and Minitab.
Language of instruction
English
Number of ECTS credits
4
Supervisor
Department
Entry knowledge
Mastering basic and advanced methods of probability theory and mathematical statistics is assumed.
Rules for evaluation and completion of the course
Credit conditions: project elaboration.
Conditions for passing the exam: mastering practical examples on a PC.
Attendance at seminars is controlled and the teacher decides on the compensation for absences.
Aims
The course objective is to make students majoring in Mathematical Engineering acquainted with methods of the reliability theory for modelling and assessing technical systems reliability, with methods of mathematical statistics used for quality control of processing, and with a personal project solution using statistical software.
Students acquire needed knowledge from the important area of the reliability theory and quality control, which will enable them using a PC model and determine important quality characteristics of technical systems and processes on the basis of statistical data.
The study programmes with the given course
Programme N-MAI-A: Mathematical Engineering, Master's, compulsory-optional
Programme N-AIM-A: Applied and Interdisciplinary Mathematics, Master's, elective
Type of course unit
Lecture
26 hours, optionally
Syllabus
Interval estimates in technical practice.
Hypothesis testing in technical practice.
Measurement system analysis.
Stability and capability of the process.
Basic concepts of object reliability.
Functional and numerical characteristics of reliability.
Probability distribution of time to failure.
Estimates for uncensored and censored selections.
Computer-assisted exercise
13 hours, compulsory
Syllabus
Progressive PC software for statistical quality control.
Functional characteristics of reliability.
Numerical characteristics of reliability.
Properties of probability distributions of time to failure.
Truncated kinds and mixtures of probability distributions of time to failure.
Reliability direct evaluation of elements system.
Reliability evaluation of elements system by means of graph methods.
Estimation for censored and non-censored samples.
Stability and capability of process.
Process control by variables and attributes.
Statistical acceptance inspections by variables and attributes.
Pareto analysis, tolerance limits.
Fuzzy reliability.