Course detail

Reliability and Quality

FSI-SSJ-AAcad. year: 2025/2026

The course is concerned with basics of the reliability theory and quality control methods: functional and numerical characteristics of lifetime, selected probability distributions, statistical methods for analyses of lifetime data, process capability analysis, control charts, measurement system analysis. Practice datasets will be analyzed using the software Minitab.

Language of instruction

English

Number of ECTS credits

4

Mode of study

Not applicable.

Guarantor

Ing. Pavel Hrabec, Ph.D.

Department

Institute of Mathematics (ÚM)

Entry knowledge

Knowledge of basic and advanced methods of probability theory and mathematical statistics is assumed (statistical hypothesis testing, maximum likelihood estimation).

Rules for evaluation and completion of the course

Credit conditions: active participation during classes
Conditions for passing the exam: mastering practical examples on a PC, meaning adequate (oral) discussion of software otputs.
Attendance at seminars is controlled and the teacher decides on the compensation for absences.

Aims

The aim of the course is to familiarize Mathematical Engineering majors with reliability theory methods for modeling and evaluating the reliability of technical systems, with mathematical statistics methods for process quality control. Students will gain essential knowledge in the crucial fields of reliability theory and quality control, empowering them to use computer modeling to identify significant quality attributes of technical systems and processes using 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)
Kalbfleisch, J. D., & Prentice, R. L. (c2002). The statistical analysis of failure time data (2nd ed). Wiley-Interscience. (EN)
Meeker, W. Q., & Escobar, L. A. (1998). Statistical methods for reliability data. John Wiley. (EN)

Recommended reading

Kupka, K.: Statistické řízení jakosti, , 0 (CS)
Linczényi, A.: Inžinierska štatistika, , 0 (SK)
Militký, J.: Statistické techniky v řízení jakosti, , 0 (CS)

Classification of course in study plans

  • Programme N-AIM-A Master's 2 year of study, winter semester, elective
  • Programme N-MAI-A Master's 2 year of study, winter semester, compulsory-optional

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

MSA for continuous data
MSA for attributes
Process stability (control charts)
Process capability
Process capability for nonnormally distributed data
Functional and numerical characteristics of reliability
Censoring, nonaprametric reliability analysis (Kaplan-Meier)
Probability distribution of time to failure and their likelihood.
Parametric analysis of reliability, likelihood ratio test
Competing failure mode model for reliability
Demostration and estimation test plans
Accelerated life testing.