157-0401/01 – Operations Research B (OVB)
| Gurantor department | Department of Systems Engineering | Credits | 4 |
| Subject guarantor | Ing. Eva Moravcová, CSc. | Subject version guarantor | Ing. Eva Moravcová, CSc. |
| Study level | undergraduate or graduate | Requirement | Choice-compulsory |
| Year | 1 | Semester | summer |
| | Study language | Czech |
| Year of introduction | 2003/2004 | Year of cancellation | 2012/2013 |
| Intended for the faculties | EKF | Intended for study types | Bachelor, Follow-up Master |
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
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
Předmět neobsahuje žádné hodnocení.