Operační výzkum A

Typ studia	bakalářské
Jazyk výuky	angličtina
Kód	157-0590/01
Zkratka	ORA
Název předmětu česky	Operační výzkum A
Název předmětu anglicky	Operations Research A
Kreditů	5
Garantující katedra	Katedra systémového inženýrství a informatiky
Garant předmětu	prof. Mgr. Ing. František Zapletal, Ph.D.

Osnova předmětu

The aim of the subject is to learn students how to think systemically, how to analyze the problem and, also, how to find the optimal decision/solution. Economic-mathematical models are used to solve real practical problems which are solved using information technologies. Two basic methods are presented to students: mathematical programming and network analysis. The outline of the subject is as follows:
1) Operational research - basic description, properties, classification.
2) Mathematical programming - structure of the model, methodology.
3) Linear programming - structure of the model, areas of application.
4) Linear programming - Graphical solution of LP problems.
5) Linear programming - canonical form of the model.
6) Linear programming - simplex method - algorithm and its description.
7) Linear programming - duality: usage and interpretation.
8) Linear programming - sensitivity analysis of LP results.
9) Multi-criteria linear programming
10) Network analysis - CPM method and its properties.
11) Network analysis - Network chart, reserves, critical path.
12) Network analysis - Feasibility of the project, cost analysis.
13) Network analysis - Gant linear diagram.
14) Network analysis - PERT method - involving the risk into projects.

Povinná literatura

TAHA, Hamdy A. Operations research: an introduction. 9th ed., international ed. Upper Saddle River: Pearson, c2011. ISBN 978-0-13-139199-4.
WISNIEWSKI, Mik. Quantitative methods for decision makers. 5th ed. Harlow: Financial Times Prentice Hall, 2009. ISBN 978-0-273-71207-7.
PANNEERSELVAM, Robert. Operations research. 2nd ed. New Delhi: PHI Learning, 2012. ISBN 978-81-203-2928-7.

Doporučená literatura

BIRGE, John R. a LOUVEAUX, François. Introduction to stochastic programming. 2nd ed. New York: Springer, c2011. ISBN 978-1-4614-0236-7.
PRÉKOPA, András. Stochastic programming. Dordrecht: Kluwer Academic Publishers, c1995. ISBN 0-7923-3482-5.

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