157-0400/01 – Operations Research A (OVA)

Gurantor departmentDepartment of Systems EngineeringCredits5
Subject guarantorprof. Ing. Jana Hančlová, CSc.Subject version guarantorprof. Ing. Jana Hančlová, CSc.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semestersummer
Study languageCzech
Year of introduction2003/2004Year of cancellation
Intended for the facultiesEKFIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
VRA31 Ing. Blanka Bazsová, Ph.D.
HAN60 prof. Ing. Jana Hančlová, CSc.
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
Part-time Credit and Examination 6+6

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 main emphasis is placed on the creation and application of economic and mathematics models for the support of managerial decision making. Students will acquire knowledge of character, substance, application areas and the level of utilization of operations research models and particular methods (i.e. graph theory, linear programming, network modeling, structure analysis) and will be trained in their applications particulary with PC use.

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 – written test on network analysis. Exam – written test within the Moodle system (more than half number of points required) – game theory, network analysis, linear programming, structural analysis).

Prerequisities

Subject codeAbbreviationTitleRequirement
151-0400 MatKomb 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. Introduction to the graph theory – basic therminology and algorithms. 3. Network analysis – possible areas for application, basic terminology and methods. Methodology for network graphs designing. 4. Time analysis in network graphs. Time demands of projects, dates of project activities, critical path, reserves of activities, critical path analysis. 5. Resources analysis. Problem of resource consuption minimizing, project schedule optimization. 6. Optimization methods, linear programming (LP), principles of mathematical models designing. 7. Basic problems of LP and their characteristics. General model of LP problem. 8. LP problems solving and interpretation. Basic principles for models solving, simplex method. 9. Problem of duality and efficiency of LP problems. 10. Economic model of the financial planning problem. Model design and solving this problem, results interpretation. 11. 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. 12. Distribution problems. Characteristics of basic problem – balanced and unbalanced problem, basic solution, methods of optimization. 13. Structural analysis. Aim of the structural analysis and structural models. Methodology of static structural models design. Leontief’s input/output table and its structure. 14. Structural analysis. Case study. III. Quadrant. Cost calculations.

Conditions for subject completion

Part-time form (validity from: 1960/1961 Summer semester, validity until: 2010/2011 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (145) 51
        Examination Examination 100  0
        Exercises evaluation Credit 45  0
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2019/2020 (B6202) Economic Policy and Administration (6202R055) Public Economics and Administration K Czech Ostrava 2 Compulsory study plan
2019/2020 (B6202) Economic Policy and Administration (6202R055) Public Economics and Administration K Czech Valašské Meziříčí 2 Compulsory study plan
2019/2020 (B6202) Economic Policy and Administration (6202R055) Public Economics and Administration K Czech Šumperk 2 Compulsory study plan
2019/2020 (B6208) Economics and Management (6208R020) Business Economics K Czech Ostrava 2 Compulsory study plan
2018/2019 (B6202) Economic Policy and Administration (6202R055) Public Economics and Administration K Czech Šumperk 2 Compulsory study plan
2018/2019 (B6202) Economic Policy and Administration (6202R055) Public Economics and Administration K Czech Ostrava 2 Compulsory study plan
2018/2019 (B6202) Economic Policy and Administration (6202R055) Public Economics and Administration K Czech Valašské Meziříčí 2 Compulsory study plan
2018/2019 (B6208) Economics and Management (6208R020) Business Economics K Czech Ostrava 2 Compulsory study plan
2017/2018 (B6202) Economic Policy and Administration (6202R055) Public Economics and Administration K Czech Ostrava 2 Compulsory study plan
2017/2018 (B6202) Economic Policy and Administration (6202R055) Public Economics and Administration K Czech Šumperk 2 Compulsory study plan
2017/2018 (B6202) Economic Policy and Administration (6202R055) Public Economics and Administration K Czech Valašské Meziříčí 2 Compulsory study plan
2017/2018 (B6208) Economics and Management (6208R020) Business Economics K Czech Ostrava 2 Compulsory study plan
2016/2017 (B6208) Economics and Management (6208R020) Business Economics K Czech Ostrava 2 Compulsory study plan
2016/2017 (B6202) Economic Policy and Administration (6202R055) Public Economics and Administration K Czech Ostrava 2 Compulsory study plan
2016/2017 (B6202) Economic Policy and Administration (6202R055) Public Economics and Administration K Czech Valašské Meziříčí 2 Compulsory study plan
2016/2017 (B6202) Economic Policy and Administration (6202R055) Public Economics and Administration K Czech Šumperk 2 Compulsory study plan
2015/2016 (B6208) Economics and Management (6208R020) Business Economics K Czech Ostrava 2 Compulsory study plan
2015/2016 (B6202) Economic Policy and Administration (6202R055) Public Economics and Administration K Czech Šumperk 2 Compulsory study plan
2015/2016 (B6202) Economic Policy and Administration (6202R055) Public Economics and Administration K Czech Ostrava 2 Compulsory study plan
2014/2015 (B6208) Economics and Management (6208R020) Business Economics K Czech Ostrava 2 Compulsory study plan
2013/2014 (B6202) Economic Policy and Administration K Czech Šumperk 1 Compulsory study plan
2013/2014 (B6202) Economic Policy and Administration K Czech Ostrava 1 Compulsory study plan
2013/2014 (B6208) Economics and Management (6208R020) Business Economics K Czech Ostrava 2 Compulsory study plan
2013/2014 (B6208) Economics and Management (6208R020) Business Economics (02) Business Economics K Czech Ostrava 2 Compulsory study plan
2012/2013 (B6202) Economic Policy and Administration K Czech Ostrava 1 Compulsory study plan
2012/2013 (B6202) Economic Policy and Administration K Czech Šumperk 1 Compulsory study plan
2012/2013 (B6208) Economics and Management (6208R020) Business Economics (02) Business Economics K Czech Ostrava 2 Compulsory study plan
2011/2012 (B6202) Economic Policy and Administration K Czech Šumperk 1 Compulsory study plan
2011/2012 (B6202) Economic Policy and Administration K Czech Ostrava 1 Compulsory study plan
2010/2011 (B6202) Economic Policy and Administration K Czech Ostrava 1 Compulsory study plan
2010/2011 (B6202) Economic Policy and Administration K Czech Šumperk 1 Compulsory study plan
2009/2010 (B6202) Economic Policy and Administration K Czech Ostrava 1 Compulsory study plan
2009/2010 (B6202) Economic Policy and Administration K Czech Šumperk 1 Compulsory study plan
2008/2009 (B6202) Economic Policy and Administration (6202R055) Public Economics and Administration (02) Public Economics and Administration K Czech Ostrava 1 Compulsory study plan
2008/2009 (B6202) Economic Policy and Administration K Czech Ostrava 1 Compulsory study plan
2008/2009 (B6202) Economic Policy and Administration (6210R004) European Integration (02) European Integration K Czech Ostrava 1 Compulsory study plan
2008/2009 (B6202) Economic Policy and Administration (6202R055) Public Economics and Administration (01) Public Economics and Administration K Czech Šumperk 1 Compulsory study plan
2008/2009 (B6202) Economic Policy and Administration K Czech Šumperk 1 Compulsory study plan
2007/2008 (B6202) Economic Policy and Administration (6202R055) Public Economics and Administration (02) Public Economics and Administration K Czech Ostrava 1 Compulsory study plan
2007/2008 (B6202) Economic Policy and Administration (6202R055) Public Economics and Administration (01) Public Economics and Administration K Czech Šumperk 2 Compulsory study plan
2007/2008 (B6202) Economic Policy and Administration (6210R004) European Integration (02) European Integration K Czech Ostrava 1 Compulsory study plan
2007/2008 (B6202) Economic Policy and Administration (6202R055) Public Economics and Administration (01) Public Economics and Administration K Czech Šumperk 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner