Předmět Applied Mathematics for IT - INFOA (EAE56E)

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Materiál	Typ	Datum	Počet stažení

Osnova

PřednáškaVector spaces, vectorsMatrix, elimination proceduresSystem of linear equationsLinear optimisation modelPost-optimisation result analysis of linear modelDuality theorySimple transportation systemsDistribution modelsMultiple objectives optimisation modelMultiple attributes decision modelGame theoryDecision making modelCvičeníVectors and matrices operationsSystem of linear equations - Jordanien elimination methodsLinear optimization model - simplex algorithm, postoptimization analysisTransportation model, Vogels method, MODI method Multiple criteria decisiom models, the AHP methodMatrix game, decision model

Získané způsobilosti

Znalosti:Graduates have basic theoretical knowledge in theory and application of the OR/MS models - optimization models (linear optimization model and transportation model), game models and decision models, multiple criteria models. They are able to apply mathematical models in theory and practice. Graduates are able to solve typical management problems, select correct model for problem solving, apply the appropriate software systems. They are familiar with interpretation of solution and its implementation.Dovednosti:Graduates can apply their theoretical and practical knowledge in creative solutions of well structured problems into problems in various type of organizations. They can work as members of professional decision teams at the level of lower and middle management.Kompetence - komunikace:They are able to communicate with experts from other fields in order to get necessary information for correct formulation of mathematical model. They are able to communicate with customers and express their demands. Graduates can work in a team and successfully work under leadership of qualified experts. They are able to cooperate in decision process and interpretation of solution.Kompetence - úsudek:Graduates are able to understand the practical problems from the point of view of the system access and the application of exact methods. They are able to distinguish the main parts of the problem, their partial goals and methodology.

Literatura

ZákladníDantzig, G. B. Linear Programming and Extensions, Princeton, 1998,648 pp., ISBN 9780691059136.Turban, E., Meredith, J.R. Fundamentals of Management Science. IRWIN 1991. ISBN 0-256-08373-8.DoporučenáLawrence, J. A., Pasternack, B. A. Applied Management Science Modeling, Spreadsheet Analysis, and Communication for Decision Making, 2. vyd. New York Wiley & Sons, 2002. 649 s. ISBN 0-471-39190-5.Stevenson, W. J. Management science, Irwin, Boston, 1989Anderson, D. R. at all Management Science Quantitative Approaches to Decision Making, West Publ., New York, 1994Bonini, C.P., Hausman, W.H., Bierman, H. Quantitative Analysis for Management. USA IRWIN Mc Grav, 1997.

Požadavky

Overview of linear algebra and operation research methods, their mathematical background and applications, classification of the decision problems making in AI and solving algorithms. Theoretical base of mathematical methods used in economy for analysis and optimal control of systems in AFC. Examples of simple applications.

Garant

doc. RNDr. Helena Brožová, CSc.