Course detail

Quantitative methods

FP-kvmPAcad. year: 2022/2023

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)

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.

Prerequisites

Not applicable.

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

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 seminar work, while fulfilment of participation in seminars. It must be fulfilled all three of the above classification conditions. The non-fulfilment of one condition can´t replace 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

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.

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.

Work placements

Not applicable.

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.

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. 2.vyd. Brno: Akademické nakladatelství CERM, 2019, 260 s. ISBN 978-80-214-5716-4. (CS)

Recommended reading

ANDERSON, D.R. et al. Quantitative Methods for Business. 13th ed. Boston: Cengage Learning, 2016, 914 p. ISBN-13: 978-1-285-86631-4. (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, 2007, 323 s. ISBN 978-80-86946-44-3. (CS)
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. (EN)
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)

Elearning

eLearning: currently opened course

Classification of course in study plans

  • Programme BAK Bachelor's

    branch BAK-EP , 2 year of study, winter semester, compulsory

  • Programme BAK-EP Bachelor's 2 year of study, winter semester, compulsory-optional
  • Programme BAK-MIn Bachelor's 2 year of study, winter semester, compulsory
  • Programme BAK-PM Bachelor's 2 year of study, winter semester, compulsory-optional

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 problems.
3. Formulation of the linear programming model.
4. Special type of linear programming problems.
5. Linear programming problems – solving methods (graphical, algebraic, software)
6. Post-optimality analysis (Sensitivity analysis).
7. Graph theory – basic concepts.
8. Construction of the network diagram (AOA, AON).
9. Critical Path Method (CPM).
10. Program Evaluation and Review Method (PERT).
11. Project time vs project cost.
12. Analysis of the generalized network diagram.
13. Inventory models.

Exercise

13 hod., compulsory

Teacher / Lecturer

Ing. et Ing. Zuzana Janková, Ph.D.

Syllabus

1. Formulation of the linear programming model.
2. Special type of linear programming problems.
3. Linear programming problems – solving methods (graphical, algebraic, software)
4. Construction of the network diagram (AOA, AON).
5. Critical Path Method (CPM).
6. Program Evaluation and Review Method (PERT).
7. Credit test

Elearning

eLearning: currently opened course