Course detail
Operations Research
ÚSI-REOPAAcad. year: 2021/2022
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
Number of ECTS credits
Mode of study
Guarantor
Department
Learning outcomes of the course unit
Prerequisites
Co-requisites
Planned learning activities and teaching methods
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. 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. 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.
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.
Seminars:
1. Formulation of mathematical model of linear programming problem.
2. Graphical solution of linear programming problems.
3. Linear programming – simplex algorithm.
4. Network analysis methods – CPM method (Critical Path Method).
5. Network analysis methods – PERT method (Program Evaluation and Review Technique).
6. Credit test.
Work placements
Aims
Specification of controlled education, way of implementation and compensation for absences
Recommended optional programme components
Prerequisites and corequisites
Basic literature
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
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)
Classification of course in study plans