157-0301/04 – Operations Research B (OVB)

Gurantor departmentDepartment of System EngineeringCredits4
Subject guarantorIng. Eva Moravcová, CSc.Subject version guarantorIng. Eva Moravcová, CSc.
Study levelundergraduate or graduate
Study languageCzech
Year of introduction2003/2004Year of cancellation2012/2013
Intended for the facultiesEKFIntended for study typesBachelor
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

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Prerequisities

Subject codeAbbreviationTitleRequirement
157-0300 OVA Operations Research A Compulsory

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Game theory. Definitions of games. Two-Person Zero-Sum Games 2. Mixed strategies, interpretation of mixed strategy probabilities. 3. Cooperative and non – cooperative games. Nonzero games. Prisoners dilemma 4. Dynamic programming. Process sequencing. Bellman’s "principle of optimality". Recursive algorithm. 5. Deterministic problems. Resources allocation, knapsack problem equipment replacement, shortest path, inventory control. 6. Queuing theory. Queuing models. Poisson process, exponential distributions. 7. Flow diagrams for different types of models. 8. Inventory control. Models for inventory management. The deterministic models. 9. Stochastic inventory models 10. Replacement, maintenance and inspection. 11. Optimization models for the improvement of system and equipment reliability.

Conditions for subject completion

Full-time form (validity from: 2011/2012 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  23
        Examination Examination 55  10
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2012/2013 (B6209) Systems Engineering and Informatics (6209R025) System Engineering and Informatics P Czech Ostrava 2 Compulsory study plan
2011/2012 (B6209) Systems Engineering and Informatics (6209R001) Applied Informatics (00) Applied Informatics P Czech Ostrava 2 Compulsory study plan
2011/2012 (B6209) Systems Engineering and Informatics (6209R001) Applied Informatics (01) Applied Infomatics P Czech Valašské Meziříčí 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner