Course detail

Quantitative methods

FP-KkvmPAAcad. year: 2020/2021

The course Quantitative Methods acquaints students with selected quantitative methods that are used as a support for decision-making.

Language of instruction

Czech

Number of ECTS credits

4

Guarantor

doc. Ing. Radek Doskočil, Ph.D., MSc

Department

Institute of Informatics (ÚI)

Learning outcomes of the course unit

After successfully completing the course, students will be able to solve all sorts of managerial problems with a support of selected quantitative methods.

Prerequisites

For the study of the subject are required basic knowledge of management (management functions, managerial roles) and mathematics (linear algebra, graph theory, probability).

Co-requisites

Not applicable.

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

The following conditions have to be met by a student to be given the credit:
1. Successful completion of the semester project within the specified deadline.
2. Successful completion of credit test.
A maximum of 100 points may be obtained with a maximum of 50 points for credit test, 25 points for the semester project and 25 points for an eventual correction test. A minimum of 50 points need to be achieved for the credit.
Examination Requirements:
1. Successful completion of the exam test.
The exam is carried out in writing. For its successful completion it is necessary to reach min. 50% out of a possible score of the exam.
Overall evaluation of the course is based on the results obtained by exam with possible reference to the results obtained during the semester.

Course curriculum

1. Introduction (systems theory, cybernetics, operational analysis, system analysis, system engineering). Managerial decision theory (the theory of decision-making process, decision-making problem).
2. Mathematical modeling (model, model classification, survey models, mathematical programming model).
3. Linear Programming (formulation technique of linear programming, types of linear programming problems, the general model of linear programming).
4. Formulation of a mathematical model of linear programming (job production planning, transportation problem, assigning the problem).
5. Formulation of a mathematical model of linear programming (mixing problem, nutritional problems, the task of cutting materials, scheduling commercials, portfolio optimization).
6. Solving linear programming problems (graphical, algebraic, using MS Excel).
7. Methods of network analysis (introduction to the topic of project management, the construction of a network graph).
8. Time analysis of AOA deterministic network graphs.
9.Time analysis of AOA stochastic network graphs.
10. Time analysis AON network graphs. The construction of the project schedule.
11. Source project analysis. Dependence times and project costs.
12. Time analysis generalized network graph.
13. Software support of project management.

Work placements

Not applicable.

Aims

The aim of the course is to acquaint students with selected quantitative methods of managerial decision-making and their practical application.

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

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

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

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. (CS)
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. (CS)

Recommended reading

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.
JABLONSKÝ, J. Operační výzkum : kvantitativní modely pro ekonomické rozhodování. Praha: Professional Publishing, 2002. ISBN 80-86419-23-1.
WISNIEWSKI, M. Metody manažerského rozhodování. Praha: Grada Publishing a.s., 1996. 512 s. ISBN 80-7169-089-9.

Type of course unit

 

Lecture

13 hours, optionally

Teacher / Lecturer

doc. Ing. Radek Doskočil, Ph.D., MSc

Syllabus

1. Introduction to linear programming.
2. Formulation of a mathematical model of linear programming.
3. Formulation of a mathematical model of linear programming.
4. Solving linear programming problems.
5. Introduction to project management.
6. Time analysis of deterministic network graphs.
7. Time analysis of stochastic network graphs.
8. Construction of project schedule.
9. Resource analysis of the project.
10. Time analysis of AON (Activity-On-Node) network graphs.
11. Time analysis of generalized network graph.
12. Theory of decision making.
13. System science.

Guided consultation in combined form of studies

12 hours, optionally

Teacher / Lecturer

doc. Ing. Radek Doskočil, Ph.D., MSc

Exercise

13 hours, compulsory

Teacher / Lecturer

doc. Ing. Radek Doskočil, Ph.D., MSc

Syllabus

1. Formulation of a mathematical model of linear programming.
2. Formulation of a mathematical model of linear programming.
3. Graphical solving of linear programming problems.
4. Time analysis of deterministic network graph.
5. Time analysis of stochastic network graph.
6. Check test.
7. Correction test.