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Lecturer(s)
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Koblasa František, Ing. Ph.D.
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Vavroušek Miroslav, Ing. Ph.D.
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Course content
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1) Origin, development and overview of the operation analysis methods, steps to solve decision making problems 2) Linear programming - typical application examples, general mathematical problem model, simplex method, canonical form, linearization of the model, using spread sheet program to solve linear problems, graphic method solution, verification and interpretation of the results. 3) Distribution methods - basic solutions, north-west corner method, Index method, Vogle approximation method. 4) Inventory theory - Inventory classification, management model classification, ABC analysis, making of objective function with respect to inventory management models, model of Economical Order Quantity, Model of temporary unmet demand, production model, Quantity discount models, stochastic models. 5) Queuing theory - model classification and model elements, indicators and data inputs, one channel service model, exponential parallel line model. 6) Multi-criteria analysis - data mining methods in multi-criteria analysis base on nature of process (qualitative, quantitative), methods of estimating criteria importance - Ordering method, Scoring method, previse comparison method (Fullers triangle). 7) Theory of Graphs - types of graphs, problems to solve by graphs, minimal maximal frame problems, shortest path problems, maximal throughput problems. 8) CPM - calculation of critical path, operation time buffers and their meaning for project graph analysis 9) PERT - time analysis in graph and probabilistic calculations. 10) Optimization Meta - heuristic method and their application on real world problems
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Learning activities and teaching methods
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Lecture, Practicum, E-learning
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Learning outcomes
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The course deals with methods of operational analysis e.g. linear programming, network analysis, game theory, queuing theory. Furthermore, methods of network analysis, CPM & PERT method, the method of dynamic programming, game theory and optimal decision making are explained on real-world problems.
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Prerequisites
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unspecified
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Assessment methods and criteria
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Combined examination
Credit: 75% attendance, successful defence of term papers. Exam: combined (written and oral) - demonstration of knowledge of the discussed areas, the condition for participation in the exam is to obtain credit.
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Recommended literature
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Drozdová, V. - Kadeřábek, J. a kol. Systémová analýza I., II. Liberec.. VŠST Liberec, 1987.
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Eiselt, Horst A.. Operations research: a model-based approach.. Berlin: Springer, 2012, 2012. ISBN 978-3-642-31.
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Gros I.:. Kvantitativní metody v manažerském rozhodování.. Grada, Praha, 2003. ISBN 80-247-0421-8.
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HABR, J. Lineární programování.Praha: SNTL Praha, 1960.
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CHOBOT, M. - VLAŠIN, V. - TURNOVEC, F. Teória hier a rozhodovania. Bratislava: ALFA, 1991.
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Iyer, P. Sankara. Operations research. New Delhi : McGraw Hill Education, 2008. ISBN 978-0-07-066902-4.
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Jablonský, J. Operační výzkum. Praha 2002.
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ŽIŽKA, M. Vybrané statě z operačního výzkumu. 1. vyd. Liberec: TU v Liberci, 2003.. ISBN 80-7083-691-1.
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