Course detail
Reliability and Quality
FSI-SSJ-A Acad. year: 2019/2020 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
Learning outcomes of the course unit
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.
Prerequisites
Mastering basic and advanced methods of probability theory and mathematical statistics is assumed.
Planned learning activities and teaching methods
The course is taught through lectures explaining the basic principles and theory of the discipline. Exercises are focused on practical topics presented in lectures.
Assesment methods and criteria linked to learning outcomes
Graded course-unit credit requirements: elaborations of project of system reliability and real product process quality control; evaluation according to results of personal project.
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.
Specification of controlled education, way of implementation and compensation for absences
Attendance at seminars is controlled and the teacher decides on the compensation for absences.
The study programmes with the given course
Programme M2A-A: Applied Sciences in Engineering, Master's
branch M-MAI: Mathematical Engineering, compulsory
Type of course unit
Lecture
26 hours, optionally
Teacher / Lecturer
Syllabus
Basic notions of objects reliability.
Functional characteristics of reliability.
Numerical characteristics of reliability.
Probability distributions of time to failure.
Truncated probability distributions of time to failure, mixtures of distributions.
Calculating methods for system reliability.
Introduce to renewal theory, availability.
Estimation for censored and non-censored samples.
Stability and capability of process.
Process control by variables and attributes (characteristics, charts).
Statistical acceptance inspections by variables and attributes (inspection kinds).
Special statistical methods (Pareto analysis, tolerance limits).
Fuzzy reliability.
Computer-assisted exercise
13 hours, compulsory
Teacher / Lecturer
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.