Reliability and Quality (FSI-SSJ-A)

Academic year 2018/2019
Supervisor: Ing. Josef Bednář, Ph.D.  
Supervising institute: ÚM all courses guaranted by this institute
Teaching language: English
Aims of the course unit:
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.
Learning outcomes and competences:
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.
Course contents:
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.
Teaching methods and criteria:
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.
Controlled participation in lessons:
Attendance at seminars is controlled and the teacher decides on the compensation for absences.
Type of course unit:
    Lecture  13 × 2 hrs. optionally                  
    Computer-assisted exercise  13 × 1 hrs. compulsory                  
Course curriculum:
    Lecture 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 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.
Literature - fundamental:
1. Montgomery, Douglas C.:Introduction to Statistical Quality Control /New York :John Wiley & Sons,2001. 4 ed. 796 s. ISBN 0-471-31648-2
2. Ireson, Grant W. Handbook of Reliability Engineering and Management.Hong Kong :McGraw-Hill,1996. 1st Ed. nestr. ISBN 0070127506
Literature - recommended:
1. Kupka, K.: Statistické řízení jakosti, , 0
2. Militký, J.: Statistické techniky v řízení jakosti, , 0
3. Linczényi, A.: Inžinierska štatistika, , 0
The study programmes with the given course:
Programme Study form Branch Spec. Final classification   Course-unit credits     Obligation     Level     Year     Semester  
M2A-A full-time study M-MAI Mathematical Engineering -- GCr 4 Compulsory 2 2 W