157-0300/01 – Operations Research A (OVA)

Gurantor departmentDepartment of Systems Engineering and InformaticsCredits5
Subject guarantorprof. Ing. Jana Hančlová, CSc.Subject version guarantorprof. Ing. Jana Hančlová, CSc.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semestersummer
Study languageCzech
Year of introduction1999/2000Year of cancellation2020/2021
Intended for the facultiesEKFIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
VRA31 Ing. Blanka Bazsová, Ph.D.
CHY0034 Mgr. Ing. Lucie Chytilová, Ph.D.
CIZ0061 Ing. Andrea Čížků, Ph.D.
HAN60 prof. Ing. Jana Hančlová, CSc.
NEM191 Ing. Radek Němec, Ph.D.
MAN0124 Anonymizovaná Osoba
SVA0158 Ing. Miloš Švaňa
ZAP149 doc. Mgr. Ing. František Zapletal, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

Subject aims expressed by acquired skills and competences

• To describe the operations research as an applied systems discipline • To define basic systems terms and terms from economic and mathematics modeling • To classify operations research methods • To explain the substance and application possibilities of the basic methods • To apply chosen methods model tools to concrete specific problems • To solve created models with PC use • To explicate and analyze obtained results

Teaching methods

Lectures
Tutorials

Summary

The aim of the subject is to make students familiar with basics of the operations research belonging to systems disciplines and solving complex economic problems. Outputs should be knowledge of selected methods of the operations research, its nature, fundamentals, means of use in real situations. Students should be able to formulate problems and consequently design and solve applicable economic-mathematical models using appropriate software tools.

Compulsory literature:

HILLIER, Frederick S. and Gerald J. LIEBERMAN. Introduction to Operations Research. 9th ed. London: McGraw-Hill, 2009. 1088 pp. ISBN 978-80-077298340.

Recommended literature:

TAHA, A. Operations Research: An Introduction (9th Edition) 832 p. Pearson 2010

Way of continuous check of knowledge in the course of semester

E-learning

Other requirements

Credit – min 60% participation in lectures, accomplishment of two tests (Linear programming and,Network analysis) which can be written within the specified dates (1 regular and 1 corrective). Exam – written test through the Moodle system (more than half number of points required).

Prerequisities

Subject codeAbbreviationTitleRequirement
151-0300 Mat A Mathematics A Compulsory

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Operations research – systemic basis for the quantitative approach to decision making. Development and systemic characteristics of the operations research. Economic-mathematical modeling. IT and software support. Methods of the operations research and their classification. Applicability of the subject for real-situation problems solving. 2. Optimization methods, linear programming (LP), principles of mathematical models designing. 3. Basic problems of LP and their characteristics. General model of LP problem. 4. LP problems solving and interpretation. Basic principles for models solving, simplex method. 5. Problem of duality and efficiency of LP problems. Sensitivity analysis of the optimal solution – sensitivity to change of right-hand-side coefficients of constraints, objective function coefficients, adding and removing variables or constraints. 6. Distribution problems. Characteristics of basic problem – balanced and unbalanced problem, basic solution, methods of optimization. 7. Multi-objective programming (dominated/non-dominated solution, aggregation of objective functions using the weights, compromise solution). 8.Introduction to the graph theory,network analysis – possible areas for application, basic terminology and methods. Methodology for network graphs designing. 9. Time analysis in network graphs. Time demands of projects, dates of project activities, critical path, reserves of activities, critical path analysis. 10. Resources analysis. Problem of resource consuption minimizing, project schedule optimization. 11. PERT method (differences from CPM method, probability distribution, involving the risk into network analysis).

Conditions for subject completion

Full-time form (validity from: 2012/2013 Winter semester, validity until: 2013/2014 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Exercises evaluation and Examination Credit and Examination 100 (100) 51 3
        Exercises evaluation Credit 45 (45) 23 2
                Teorie grafů Written test 7  4 3
                Síťová analýza Written test 15  7 3
                Lineární programování Written test 15  7 3
                Strukturní analýza Written test 8  5 3
        Examination Examination 55 (55) 18 3
                Written exam Written examination 55  18 3
Mandatory attendence participation:

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Conditions for subject completion and attendance at the exercises within ISP:

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2019/2020 (B6202) Economic Policy and Administration (6210R004) European Integration P Czech Ostrava 2 Compulsory study plan
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2007/2008 (B6202) Economic Policy and Administration (6202R027) National Economy P Czech Ostrava 2 Compulsory study plan
2007/2008 (B6202) Economic Policy and Administration (6210R004) European Integration (00) European Integration P Czech Ostrava 2 Compulsory study plan
2007/2008 (B6202) Economic Policy and Administration (6210R004) European Integration (01) European Integration P Czech Valašské Meziříčí 2 Compulsory study plan
2007/2008 (B6207) Quantitative Methods in Economics (6207R015) Managerial and Decision Making Methods in Economics P Czech Ostrava 2 Compulsory study plan
2007/2008 (B6202) Economic Policy and Administration (6202R010) Finance (00) Finance P Czech Ostrava 2 Compulsory study plan
2007/2008 (B6208) Economics and Management (6501R006) Tourism Economics (02) Tourism Economics P Czech Uherské Hradiště 2 Compulsory study plan
2007/2008 (B6209) Systems Engineering and Informatics (6209R001) Applied Informatics (00) Applied Informatics P Czech Ostrava 2 Compulsory study plan
2007/2008 (B6209) Systems Engineering and Informatics (6209R001) Applied Informatics (01) Applied Infomatics P Czech Valašské Meziříčí 2 Compulsory study plan
2007/2008 (B6209) Systems Engineering and Informatics (6209R025) System Engineering and Informatics P Czech Ostrava 2 Compulsory study plan
2007/2008 (B6209) Systems Engineering and Informatics (6209R014) Information and Knowledge Management (00) Informační a znalostní management P Czech Valašské Meziříčí 2 Compulsory study plan
2007/2008 (B6208) Economics and Management (6208R037) Management (00) Management P Czech Ostrava 2 Compulsory study plan
2007/2008 (B6208) Economics and Management (6208R062) Marketing and Business (01) Marketing and Business P Czech Ostrava 2 Compulsory study plan
2007/2008 (B6202) Economic Policy and Administration (6202R049) Accounting and Taxes (00) Účetnictví a daně P Czech Ostrava 2 Compulsory study plan
2007/2008 (B6208) Economics and Management (6208R101) Sports Management (01) Sports Management P Czech Ostrava 2 Compulsory study plan
2007/2008 (B6208) Economics and Management (6208R101) Sports Management (02) Sports Management P Czech Uherské Hradiště 2 Compulsory study plan
2007/2008 (B6208) Economics and Management (6208R020) Business Economics (00) Business Economics P Czech Ostrava 2 Compulsory study plan
2007/2008 (B6208) Economics and Management (6208R020) Business Economics (01) Business Economics P Czech Valašské Meziříčí 2 Compulsory study plan
2006/2007 (B6202) Economic Policy and Administration (6202R010) Finance (00) Finance P Czech Ostrava 2 Compulsory study plan
2006/2007 (B6202) Economic Policy and Administration (6202R027) National Economy P Czech Ostrava 2 Compulsory study plan
2006/2007 (B6202) Economic Policy and Administration (6202R040) Regional Development P Czech Ostrava 2 Compulsory study plan
2006/2007 (B6202) Economic Policy and Administration (6202R055) Public Economics and Administration (00) Public Economics and Administration P Czech Ostrava 2 Compulsory study plan
2006/2007 (B6208) Economics and Management (6208R101) Sports Management (01) Sports Management P Czech Ostrava 2 Compulsory study plan
2006/2007 (B6209) Systems Engineering and Informatics (6209R025) System Engineering and Informatics P Czech Ostrava 2 Compulsory study plan
2006/2007 (B6208) Economics and Management (6208R020) Business Economics (00) Business Economics P Czech Ostrava 2 Compulsory study plan
2006/2007 (B6209) Systems Engineering and Informatics (6209R001) Applied Informatics (00) Applied Informatics P Czech Ostrava 2 Compulsory study plan
2006/2007 (B6208) Economics and Management (6208R020) Business Economics (01) Business Economics P Czech Valašské Meziříčí 2 Compulsory study plan
2006/2007 (B6208) Economics and Management (6208R062) Marketing and Business (01) Marketing and Business P Czech Ostrava 2 Compulsory study plan
2006/2007 (B6209) Systems Engineering and Informatics (6209R001) Applied Informatics (01) Applied Infomatics P Czech Valašské Meziříčí 2 Compulsory study plan
2006/2007 (B6208) Economics and Management (6208R037) Management (00) Management P Czech Ostrava 2 Compulsory study plan
2006/2007 (B6202) Economic Policy and Administration (6210R004) European Integration (00) European Integration P Czech Ostrava 2 Compulsory study plan
2006/2007 (B6202) Economic Policy and Administration (6210R004) European Integration (01) European Integration P Czech Valašské Meziříčí 2 Compulsory study plan
2006/2007 (B6202) Economic Policy and Administration (6202R049) Accounting and Taxes (00) Účetnictví a daně P Czech Ostrava 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
Subject block without study plan - EKF - P - cs 2020/2021 Full-time Czech Optional EKF - Faculty of Economics stu. block
Subject block without study plan - EKF - P 2014/2015 Full-time Czech Optional EKF - Faculty of Economics stu. block

Assessment of instruction



2019/2020 Summer
2019/2020 Winter
2018/2019 Summer
2018/2019 Winter
2017/2018 Summer
2017/2018 Winter
2016/2017 Summer
2016/2017 Winter
2015/2016 Summer
2015/2016 Winter
2014/2015 Winter
2013/2014 Summer
2013/2014 Winter
2012/2013 Summer
2012/2013 Winter
2011/2012 Summer
2011/2012 Winter
2010/2011 Summer
2010/2011 Winter
2009/2010 Summer
2009/2010 Winter