Course detail

Quantitative Methods

FP-kvmPAcad. year: 2026/2027

The course is focused on theoretical explanation and practical application of selected methods of operational analysis as a systemic basis of quantitative approach to decision making. Emphasis is placed especially on the manager's view, which is based on the fact that in the application of quantitative methods his main task focuses on the phase of model formulation, its interpretation and implementation of model outputs into the original real system.

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

doc. Ing. Radek Doskočil, Ph.D., MSc

Department

Institute of Informatics (ÚI)

Entry knowledge

Not applicable.

Rules for evaluation and completion of the course

COMPLETION OF THE COURSE
Requirements for gaining the credit:
1) Credit test: max. 30 points, min. 15 points required; one test correction is possible (for students who have not achieved at least 15 points for the first time; points earned from the first test are not counted) respectively replacement of the test (for students who have been excused by a doctor); max. 20 points of correction/ replacement test, min. 10 points required.
2) Semester work: max. 10 points, min. 5 points required.
It is possible to gain a maximum of 40 points from the seminars. The credit is granted for a minimum of 20 points for meeting the conditions of the minimum points limits defined for credit test respectively correction/replacement test and semester work.

Examination requirements:
The examination is in writing (oral examination if necessary). The examination can only be taken by students who have the credit entered in IS and who have applied through IS. The examination contains test and open questions; the maximum number of points available is 60, and in order to pass the examination it is necessary to get at least 30 points.

The resulting mark for the course is the sum of the points from the seminars and the examination according the grade scale ECTS of BUT Study and Examination Regulations:
A: 100 – 90 points
B: 89 – 80 points
C: 79 – 70 points
D: 69 – 60 points
E: 59 – 50 points
F: 49 – 0 points

COMPLETION OF THE COURSE FOR STUDENTS WITH INDIVIDUAL STUDY
Requirements for gaining the credit:
The same as in the section COMPLETION OF THE COURSE.
Examination requirements:
The same as in the section COMPLETION OF THE COURSE.

COMPLETION OF THE COURSE USING DISTANCE FORM (APPLIES ONLY WHEN OBJECTIVE EXTERNAL CIRCUMSTANCES DO NOT ALLOW THE IMPLEMENTATION OF THE STUDY PROGRAM IN ACCORDANCE WITH THE GRANTED ACCREDITATION)
Requirements for gaining the credit:
The same as in the section COMPLETION OF THE COURSE.
Examination requirements:
The same as in the section COMPLETION OF THE COURSE.


A student’s own work on the tasks assigned is checked.

Aims

The aim of the course is to acquaint students with selected quantitative methods from the field of operational analysis and their practical application, which strengthens the skills of logical and systems thinking in solving decision problems in economic systems.
Upon successful completion of this course, students will be able to apply selected quantitative methods from the field of operational analysis in solving specific economic and managerial decision-making problems.

Study aids

See Course literature.
Study materials available on e-learning.

Prerequisites and corequisites

Not applicable.

Basic literature

DOSKOČIL, R. Kvantitativní metody. 2.vyd. Brno: Akademické nakladatelství CERM, 2019, 260 s. ISBN 978-80-214-5716-4. (CS)
HILLIER, FREDERICK S.; LIEBERMAN, GERALD J. Introduction to Operations Research. 11. vydání. New York: McGraw-Hill Education, 2020. ISBN 978-1-260-57040-0. (EN)

Recommended reading

BERTSIMAS, DIMITRIS; TSITSIKLIS, JOHN N. Introduction to Linear Optimization. 3. vydání. Belmont: Athena Scientific, 2021. ISBN 978-1-886529-45-4. (EN)
FORREST, Jeffrey Yi-Lin; NICHOLLS, Jeananne; SCHIMMEL, Kurt E. (Kurt Edward) a LIU, Sifeng. Managerial decision making: a holistic approach. Cham: Springer, 2020. ISBN 978-3-030-28063-5. (EN)
GRASSEOVÁ, M. Efektivní rozhodování: analyzování - rozhodování - implementace a hodnocení. Brno: Edika, 2013, 392 s. ISBN 978-80-266-0179-1. (CS)
GROS, I. Kvantitativní metody v manažerském rozhodování. 1. vyd. Praha: Grada Publishing a.s., 2003, 432 s. ISBN 80-247-0421-8. (CS)
JABLONSKÝ, J. Operační výzkum: kvantitativní modely pro ekonomické rozhodování. 3. vyd. Praha: Professional Publishing, 2011, 323 s. ISBN 978-80-86946-44-3. (CS)
KULKARNI, Anand J a KULKARNI, Anand J. Multiple Criteria Decision Making: Techniques, Analysis and Applications. 407. Singapore: Springer, 2022. ISBN 9789811674136. ISSN 2198-4182. Dostupné z: https://doi.org/10.1007/978-981-16-7414-3. (EN)
MATEO, J.R.S.C. Management Science, Operations Research and Project Management: Modelling, Evaluation, Scheduling, Monitoring. Farnham: Taylor & Francis Group, 2015, 227 p. ISBN 9781472426437. (CS)
PLEVNÝ, M.; ŽIŽKA, M. Modelování a optimalizace v manažerském rozhodování. 2.vyd. Plzeň: Západočeská univerzita v Plzni, 2010, 296 s. ISBN 978-80-7043-933-3. (CS)
ŠUBRT, T. kol. Ekonomicko-matematické metody. 2. upravené vydání. Plzeň: Vydavatelství a nakladatelství Aleš Čeněk, 2015, 331 s. ISBN 978-80-7380-563-0. (CS)

Classification of course in study plans

  • Programme BAK-EAM Bachelor's

    specialization BAK-EAM-EP , 3 year of study, winter semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

doc. Ing. Radek Doskočil, Ph.D., MSc

Syllabus

  1. Definition of the course and introduction to basic terms.
  2. Introduction to the linear programming, linear programming problem formulating.
  3. Solving linear programming problems.
  4. Post-optimal analysis (sensitivity analysis).
  5. Special type of linear programming problems.
  6. Multi-criteria linear programming problems.
  7. Multi-attribute decision analysis – methods for determining criterion weights.
  8. Multi-attribute decision analysis – methods for selecting a compromise variant.
  9. Network analysis methods – basic concepts, network diagram construction.
  10. Time analysis of deterministic network diagram.
  11. Time analysis of stochastic network diagram.
  12. Software support for network analysis methods.
  13. Inventory management models.

Exercise

13 hod., compulsory

Teacher / Lecturer

doc. Ing. Radek Doskočil, Ph.D., MSc

Syllabus

  1. Formulation of a linear programming problem.
  2. Solving linear programming problems.
  3. Multi-attribute decision analysis – methods for determining criterion weights.
  4. Multi-attribute decision analysis – methods for selecting a compromise variant.
  5. Time analysis of deterministic network diagram.
  6. Time analysis of stochastic network diagram.
  7. Credit test.

Learning outcomes:
Professional knowledge
The student knows the basic principles of selected disciplines of operational analysis as a systematic basis for a quantitative approach to decision making.
Professional competences
The student can model decision problems using appropriate quantitative methods, including the application of software tools to support the solution and interpretation of the results obtained.
Professional skills
The student can apply quantitative methods to real decision problems in various areas of economics and management, including presentation of results and recommendations for decision support.

Self-study

52 hod., optionally

Teacher / Lecturer

doc. Ing. Radek Doskočil, Ph.D., MSc

Individual preparation for an ending of the course

39 hod., optionally

Teacher / Lecturer

doc. Ing. Radek Doskočil, Ph.D., MSc