Course detail

Quantitative methods

FP-BkvmKAcad. year: 2020/2021

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.

Learning outcomes of the course unit

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.


Not applicable.


Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

DOSKOČIL, R: Kvantitativní metody. Skripta, Brno: VUT v Brně, Fakulta podnikatelská, 2011, 160 s. ISBN 978-80-214-4247-4.
DOSKOČIL, R. Metody, techniky a nástroje řízení projektů. Brno: AKADEMICKÉ NAKLADATELSTVÍ CERM, s.r.o., 2013. 165 s. ISBN: 978-80-7204-863-2.
FOTR, J.; DĚDINA, J.; HRŮZOVÁ, H. Manažerské rozhodování. 3. přepracov. vyd. Praha: Ekopress, 2003. ISBN 80-86119-69-6.
GROS, I. Kvantitativní metody v manažerském rozhodování. 1. vyd. Praha: Grada Publishing a.s., 2003. 432 s. ISBN 80-247-0421-8.
RAIS, K. DOSKOČIL, R. Operační a systémová analýza I. Skripta, Brno: VUT v Brně, Fakulta podnikatelská, 2011, 125 s., ISBN 978-80-214-4364-8.
WISNIEWSKI, M. Metody manažerského rozhodování. Praha: Grada Publishing a.s., 1996. 512 s. ISBN 80-7169-089-9.
JABLONSKÝ, J. Operační výzkum : kvantitativní modely pro ekonomické rozhodování. Praha: Professional Publishing, 2002. ISBN 80-86419-23-1.

Planned learning activities and teaching methods

The course is taught through lectures explaining the basic principles and theory of the discipline, including illustrative examples. Seminars are focused on practical topics presented in lectures, including mastering numerous tasks.

Assesment methods and criteria linked to learning outcomes

Requirements for gaining the credit:
1) Active participation in seminars: one unexcused absence per semester permitted. Absences outside the permitted limit must be excused by a doctor, and the teacher has the right to assign a substitute task in the case of such absence.
2) 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.
3) 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 seminar work, while fulfilment of participation in seminars. All three of the above classification conditions must be fulfilled and non-fulfilment of one condition cannot be replaced in any way by another.

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

Language of instruction


Work placements

Not applicable.

Course curriculum

1. Operational analysis as a systemic basis for a quantitative approach to decision-making.
2. Introduction to linear programming, process of formulation of linear programming problem.
3. Formulation of mathematical model of linear programming problem.
4. Special types of linear programming problems.
5. Graphical solution of linear programming problems.
6. Linear programming – simplex algorithm.
7. Post-optimality analysis of linear programming problems.
8. Software for modelling linear programming problems.
9. Basic concepts of graph theory and construction of project network graph.
10. Network analysis methods – CPM method (Critical Path Method).
11. Network analysis methods – PERT method (Program Evaluation and Review Technique).
12. Network analysis methods – GERT method (Graphical Evaluation and Review Technique).
13. Inventory theory models.


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.

Specification of controlled education, way of implementation and compensation for absences

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

Type of course unit


Guided consultation in combined form of studies

16 hours, optionally

Teacher / Lecturer