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Lecturer(s)
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Course content
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1. Introduction, operational research branches. 2. Mathematical model of linear programming problem. Basic terms of linear programming. 3. One-phase simplex method. 4. Two-phase simplex method. 5. Simplex table, terminations of the algorithm of simplex method. 6. Duality theory. 7. Postoptimization analysis. 8. Integer programming - models. 9. Integer programming - methods. 10. Multiple criteria decision - basic concepts. 11. Multiple criteria decision - weights estimation methods. 12. Multiple criteria optimization. 13. Reserve. 14. Reserve.
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Learning activities and teaching methods
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Monological explanation (lecture, presentation,briefing)
- Class attendance
- 56 hours per semester
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Learning outcomes
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The first part of this course provides the participants a basic knowledge about linear programming, duality theory and its application in practice. The second part focuses linear regression models.
Application of mathematical models (linear programming) and multi-criteria decision making.
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Prerequisites
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Linear algebra, calculus, PC skills.
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Assessment methods and criteria
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Written exam
Credit test min. 60%, written exam min. 70%.
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Recommended literature
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FIALA, P. Modely a metody rozhodování. 1. vyd. Oeconomica. Praha 2003.
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GREENE,W.H.:. Econometric analysis. Prentice Hall, New Jersey 2000.,.
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HILLIER, F. S.:. Introduction to Operations Research. McGraw-Hill.. New York, 2014. ISBN 125925318X.
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HILLIER, F. S., LIEBERMAN, G. J. Introduction to Operations Research. Third Edition. Holden - Day. San Francisco 1979.
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JABLONSKÝ, J., LAGOVÁ, M. Lineární modely. VŠE Praha 1999.
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JABLONSKY, J. Operační výzkum. 1. vydání. Prefessional Publishing Praha 2002. &, &.
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PELIKÁN, J. Diskrétní modely. VŠE 1999.
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