157-0590/01 – Operations Research A (ORA)

Gurantor departmentDepartment of Systems EngineeringCredits5
Subject guarantordoc. Mgr. Ing. František Zapletal, Ph.D.Subject version guarantordoc. Mgr. Ing. František Zapletal, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semestersummer
Study languageEnglish
Year of introduction2016/2017Year of cancellation
Intended for the facultiesEKFIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
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

The aims of the subject is as follows: - to provide fundamentals of a systems approach; - to present the classification of methods of the Operations research; - to provide fundamentals in economic-mathematical modeling using the OR methods; - to present selected methods of network analysis and their applications in project management; - to present the basics of mathematical optimization, in particular the linear programming; - to make participants familiar with SW products which can be used to solve OR problems efficiently; - to learn the participants how to provide the sensitivity analysis and how to interpret the results of modelling.

Teaching methods

Lectures
Tutorials

Summary

Compulsory literature:

TAHA, Hamdy A. Operations research: an introduction. 9th ed., international ed. Upper Saddle River: Pearson, c2011. ISBN 978-0-13-139199-4. WISNIEWSKI, Mik. Quantitative methods for decision makers. 5th ed. Harlow: Financial Times Prentice Hall, 2009. ISBN 978-0-273-71207-7. PANNEERSELVAM, R. Operations research. 2nd ed. New Delhi: PHI Learning, 2012. ISBN 978-81-203-2928-7.

Recommended literature:

BIRGE, John R. a François LOUVEAUX. Introduction to stochastic programming. 2nd ed. New York: Springer, c2011. ISBN 978-1-4614-0236-7. PRÉKOPA, András. Stochastic programming. Dordrecht: Kluwer Academic Publishers, c1995. ISBN 0-7923-3482-5.

Way of continuous check of knowledge in the course of semester

1) Feedback during seminars. 2) Written test on linear programming. 3) Written test on network analysis.

E-learning

Další požadavky na studenta

1) minimum number of points for test on linear programming. 2) minimum number of points for test on network analysis. 3) Active participation in lessons. 4) Self study. 5) Oral exam.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

The aim of the subject is to learn students how to think systemically, how to analyze the problem and, also, how to find the optimal decision/solution. Economic-mathematical models are used to solve real practical problems which are solved using information technologies. Two basic methods are presented to students: mathematical programming and network analysis. The outline of the subject is as follows: 1) Operational research - basic description, properties, classification. 2) Mathematical programming - structure of the model, methodology. 3) Linear programming - structure of the model, areas of application. 4) Linear programming - Graphical solution of LP problems. 5) Linear programming - canonical form of the model. 6) Linear programming - simplex method - algorithm and its description. 7) Linear programming - duality: usage and interpretation. 8) Linear programming - sensitivity analysis of LP results. 9) Multi-criteria linear programming 10) Network analysis - CPM method and its properties. 11) Network analysis - Network chart, reserves, critical path. 12) Network analysis - Feasibility of the project, cost analysis. 13) Network analysis - Gant linear diagram. 14) Network analysis - PERT method - involving the risk into projects.

Conditions for subject completion

Full-time form (validity from: 2016/2017 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 45  23
        Examination Examination 55  28
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (B6202) Economic Policy and Administration (6202R010) Finance P English Ostrava 2 Compulsory study plan
2019/2020 (B6208) Economics and Management (6208R174) European Business Studies P English Ostrava 1 Compulsory study plan
2018/2019 (B6208) Economics and Management (6208R174) European Business Studies P English Ostrava 1 Compulsory study plan
2018/2019 (B6202) Economic Policy and Administration (6202R010) Finance P English Ostrava 2 Compulsory study plan
2017/2018 (B6208) Economics and Management (6208R174) European Business Studies P English Ostrava 1 Compulsory study plan
2017/2018 (B6202) Economic Policy and Administration (6202R010) Finance P English Ostrava 2 Compulsory study plan
2016/2017 (B6202) Economic Policy and Administration (6202R010) Finance P English Ostrava 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner