Course detail

Reliability and Quality

FSI-SSJAcad. year: 2024/2025

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

Czech

Number of ECTS credits

4

Mode of study

Not applicable.

Guarantor

Ing. Pavel Hrabec, Ph.D.

Department

Institute of Mathematics (ÚM)

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.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Ireson, Grant W. Handbook of Reliability Engineering and Management.Hong Kong :McGraw-Hill,1996. 1st Ed. nestr. ISBN 0070127506 (EN)
Montgomery, Douglas C.:Introduction to Statistical Quality Control /New York :John Wiley & Sons,2001. 4 ed. 796 s. ISBN 0-471-31648-2 (EN)
Ryan, T. P.: Statistical Methods for Quality Improvement , Wiley, 2011 (EN)

Recommended reading

Kupka, K.: Statistické řízení jakosti, , 0 (CS)
Militký, J.: Statistické techniky v řízení jakosti, , 0 (CS)

Classification of course in study plans

  • Programme B-VTE-P Bachelor's 2 year of study, winter semester, compulsory
  • Programme N-MAI-P Master's 2 year of study, winter semester, compulsory-optional

  • Programme C-AKR-P Lifelong learning

    specialization CZS , 1 year of study, winter semester, elective

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

Ing. Pavel Hrabec, Ph.D.

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 hod., compulsory

Teacher / Lecturer

Ing. Pavel Hrabec, Ph.D.

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.