157-0301/01 – Operations Research B (OVB)

Gurantor departmentDepartment of Systems EngineeringCredits4
Subject guarantorIng. Eva Moravcová, CSc.Subject version guarantorIng. Eva Moravcová, CSc.
Study levelundergraduate or graduateRequirementCompulsory
Year2Semestersummer
Study languageCzech
Year of introduction2003/2004Year of cancellation2011/2012
Intended for the facultiesEKFIntended for study typesFollow-up Master, Bachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
AME001 Ing. Omar Ameir, Ph.D.
BAN22 Ing. Jitka Baňařová, Ph.D.
VRA31 Ing. Blanka Bazsová, Ph.D.
JAS25 Ing. Mária Jašková, Ph.D.
KR150 Ing. Anna Křížová, CSc.
MEN047 Ing. Eva Menčlová
MOR30 Ing. Eva Moravcová, CSc.
NEM191 Ing. Radek Němec, 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

• Linked up the Operations Research A, the main aim of the course is to describe other methods of Operations Research • To explain the substance and practical application possibilities of chosen methods • To apply model tools to concrete specific problems • To solve created models with PC use • To explicate and discuss obtained results

Teaching methods

Lectures
Tutorials

Summary

Linked up the OR A the subject is focused on application of other economic and mathematics models. Students will acquire knowledge of character, substance, application areas and the level of utilization of operations research models and methods (i.e. theory of games,dynamic programming, inventory control, queing theory, replacement) and will be trained in their applications particulary with PC use.

Compulsory literature:

ANDERSON et all. An Introduction to Management Science (with Printed Access Card) 896 p., 13th ed. South Western 2012 I ISBN-13: 9781111532222 LITTLECHILD, S. C. AND M. SHUTLER. Operations research in management.Prentice Hall,New York 1991.

Recommended literature:

Taha.A. Operations Research: An Introduction (9th Edition) 832 p. Pearson 2010 ISBN-10: 0131391992 ISBN-13: 9780131391994 Anderson at all. An Introduction to Management Science (with Printed Access Card) 896 p., 13th ed. South Western 2012 I ISBN-13: 9781111532222

Way of continuous check of knowledge in the course of semester

E-learning

Další požadavky na studenta

Prerequisities

Subject codeAbbreviationTitleRequirement
157-0300 OVA Operations Research A Compulsory

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1.Teorie her - metody řešení problémů soutěže. - Klasifikace rozhodovacích situací v teorii her, modely rozhodovacích situací - hra v normálním tvaru. - Konečný antagonistický konflikt dvou inteligentních rozhodovatelů (maticová hra) a jeho řešení v ryzích strategiích 2. Smíšené rozšíření maticových her. - Vztah teorie her a lineárního programování. - Nalezení řešení maticové hry ve smíšených strategiích převodem na lineární model. 3. Neantagonistické konflikty v teorii her 4. Dynamické programování - Víceetapové procesy, jejich charakteristika - Bellmanův princip optimality v dynamickém programování 5. Základní typy úloh dynamického programování, odvození rekurentních rovnic 6. Aplikační příklady úloh dynamického programování 7. Systémy soustav hromadné obsluhy, charakteristika, klasifikace 8. Optimalizační úlohy v soustavách hromadné obsluhy. - Možnosti řešení základních úloh v soustavách hromadné obsluhy. 9. Poissonovské modely. - Vlastnosti Poissonovských soustav. - Základní modely řešení optimalizačních úloh v Poissonovských soustavách hromadné obsluhy. 10. Nepoissonovské modely soustav hromadné obsluhy. - Přístupy k řešení nepoissonovských modelů hromadné obsluhy. 11. Modely teorie obnovy - Diskontování v modelech obnovy zařízení postupně se opotřebovávajícího, náhrada zařízení zařízením jiného typu 12. Obnova zařízení selhávajícího v náhodné časové okamžiky - Strategie obnovy prvků, kriterium optimalizace - Odvození funkce pravděpodobnosti selhání 13. Simulační modely - Charakteristika a typologie simulačních modelů, - Předpoklady a principy tvorby modelů 14. Případová studie simulačního modelu

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
                Written exam Written test 45  0
        Examination Examination 55 (55) 0
                Oral Oral examination 55  0
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2010/2011 (B6208) Economics and Management (6208R011) Economics and Law in Business P Czech Ostrava 2 Choice-compulsory study plan
2010/2011 (B6208) Economics and Management (6208R020) Business Economics (00) Business Economics P Czech Ostrava 2 Choice-compulsory study plan
2010/2011 (N6208) Economics and Management (6208T020) Business Economics (00) Business Economics P Czech Ostrava 1 Choice-compulsory study plan
2010/2011 (B6208) Economics and Management (6208R037) Management (00) Management P Czech Ostrava 2 Choice-compulsory study plan
2010/2011 (B6209) Systems Engineering and Informatics (6209R025) System Engineering and Informatics P Czech Ostrava 2 Compulsory study plan
2010/2011 (B6208) Economics and Management (6208R020) Business Economics (01) Business Economics P Czech Valašské Meziříčí 2 Choice-compulsory study plan
2009/2010 (B6208) Economics and Management (6208R020) Business Economics (00) Business Economics P Czech Ostrava 2 Compulsory study plan
2009/2010 (B6208) Economics and Management (6208R020) Business Economics (01) Business Economics P Czech Valašské Meziříčí 2 Compulsory study plan
2009/2010 (B6208) Economics and Management (6208R037) Management (00) Management P Czech Ostrava 2 Choice-compulsory study plan
2009/2010 (B6207) Quantitative Methods in Economics (6207R015) Managerial and Decision Making Methods in Economics P Czech Ostrava 2 Compulsory study plan
2009/2010 (B6209) Systems Engineering and Informatics (6209R025) System Engineering and Informatics P Czech Ostrava 2 Compulsory study plan
2009/2010 (B6208) Economics and Management (6208R011) Economics and Law in Business P Czech Ostrava 2 Compulsory study plan
2008/2009 (B6209) Systems Engineering and Informatics (6209R025) System Engineering and Informatics P Czech Ostrava 2 Compulsory study plan
2008/2009 (B6208) Economics and Management (6208R037) Management (00) Management P Czech Ostrava 2 Choice-compulsory study plan
2008/2009 (B6208) Economics and Management (6208R020) Business Economics (00) Business Economics P Czech Ostrava 2 Compulsory study plan
2008/2009 (B6208) Economics and Management (6208R020) Business Economics (01) Business Economics P Czech Valašské Meziříčí 2 Compulsory study plan
2008/2009 (B6208) Economics and Management (6208R011) Economics and Law in Business P Czech Ostrava 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 (N6209) Systems Engineering and Informatics (1802T001) Applied Informatics P Czech Ostrava 1 Compulsory study plan
2007/2008 (B6209) Systems Engineering and Informatics (6209R025) System Engineering and Informatics P Czech Ostrava 2 Compulsory study plan
2007/2008 (B6208) Economics and Management (6208R037) Management (00) Management P Czech Ostrava 2 Choice-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 (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 (N6209) Systems Engineering and Informatics (1802T001) Applied Informatics P Czech Ostrava 1 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 (6208R037) Management (00) Management P Czech Ostrava 2 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner