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

Gurantor departmentDepartment of System EngineeringCredits5
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 cancellation
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.
MAN0124 Jiří Manďák
NEM191 Ing. Radek Němec, Ph.D.
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

LMS

E-learning

Další požadavky na studenta

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: 1960/1961 Summer semester, validity until: 2010/2011 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 45 (45) 0
                Teorie grafů Written test 7  3
                Síťová analýza Written test 15  7
                Lineární programování Written test 15  7
                Strukturní analýza Written test 8  4
        Examination Examination 55 (55) 0
                Oral Oral examination 55  0
Mandatory attendence parzicipation:

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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 2014/2015 Full-time Czech Optional EKF - Faculty of Economics stu. block