Reliability and Quality (FSI-SSJ)

Academic year 2020/2021
Supervisor: Ing. Josef Bednář, Ph.D.  
Supervising institute: ÚM all courses guaranted by this institute
Teaching language: Czech
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:
Credit conditions: project elaboration.
Conditions for passing the exam: mastering practical examples on a PC.
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 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 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
1. Ryan, T. P.: Statistical Methods for Quality Improvement , Wiley, 2011
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
The study programmes with the given course:
Programme Study form Branch Spec. Final classification   Course-unit credits     Obligation     Level     Year     Semester  
M2A-P full-time study M-MAI Mathematical Engineering -- Cr,Ex 4 Compulsory-optional 2 2 W