Course detail

Operations Research

ÚSI-REOPAAcad. year: 2023/2024

The course is focused on the introduction and practical use of selected disciplines of operational analysis in the context of support managerial decision making and a tool for minimizing of entrepreneurs risks. Interpretation is headed from explaining the basic theoretical background to their practical application.

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Entry knowledge

The ability to solve equations and deal with graphical representations of functions, knowledge of derivation. Knowledge of the fundamentals of the organization and managerial functions of a company.

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). Only students who are properly registered for the specific exam date in the information system can do the exam. 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. Only requirement / condition 1) is deleted.
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. Only requirement / condition 1) is deleted.
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 disciplines 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 disciplines 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. Brno: Akademické nakladatelství CERM, 2019. ISBN: 978-80-214-5716-4. (CS)
RAIS, K.; DOSKOČIL, R. Operační a systémová analýza I. Brno: Akademické nakladatelství CERM, 2011. s. 1-125. ISBN: 978-80-214-4364-8. (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)
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

Classification of course in study plans

  • Programme RRTES_P Master's

    specialization RRES , 2 year of study, winter semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

Syllabus

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.

Exercise

13 hod., compulsory

Teacher / Lecturer

Syllabus

  1. Formulation of the linear programming model.
  2. Graphical solving of linear programming problems.
  3. Special type of linear programming problems.
  4. Solving of linear programming problems.
  5. Time analysis of deterministic network graph.
  6. Time analysis of stochastic network graph.
  7. Credit test.

Elearning