157-0401/01 – Operations Research B (OVB)

Gurantor departmentDepartment of Systems EngineeringCredits4
Subject guarantorIng. Eva Moravcová, CSc.Subject version guarantorIng. Eva Moravcová, CSc.
Study levelundergraduate or graduateRequirementChoice-compulsory
Year1Semestersummer
Study languageCzech
Year of introduction2003/2004Year of cancellation2012/2013
Intended for the facultiesEKFIntended for study typesBachelor, Follow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
BAN22 Ing. Jitka Baňařová, Ph.D.
JAS25 Ing. Mária Jašková, Ph.D.
KR150 Ing. Anna Křížová, CSc.
MOR30 Ing. Eva Moravcová, CSc.
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

• 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:

Hillier, F. S., Lieberman, J. Y.: Introduction to Operations Research. Holden - Day Inc., Oakland, California 1994. Littlechild, S. C.,Shutler, M. Operations research in management.Prentice Hall,New York 1991.

Recommended literature:

WISNIEWSKI, M. Quantitative Methods for Decision Makers. 4th ed. - Prentice Hall 2010 TAHA, A. Operations Research: An Introduction (9th Edition) 832 p. Pearson 2010

Way of continuous check of knowledge in the course of semester

Corsework

E-learning

Other requirements

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Prerequisities

Subject has no prerequisities.

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 12. Simulation.

Conditions for subject completion

Part-time form (validity from: 1960/1961 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
2010/2011 (N6208) Economics and Management (6208T020) Business Economics (02) Business Economics K Czech Ostrava 1 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner