* Exchange students do not have to consider this information when selecting suitable courses for an exchange stay.

Course Unit Code | 157-0590/02 | |||||
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Number of ECTS Credits Allocated | 4 ECTS credits | |||||

Type of Course Unit * | Choice-compulsory | |||||

Level of Course Unit * | First Cycle | |||||

Year of Study * | ||||||

Semester when the Course Unit is delivered | Summer Semester | |||||

Mode of Delivery | Face-to-face | |||||

Language of Instruction | English | |||||

Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester | |||||

Name of Lecturer(s) | Personal ID | Name | ||||

ZAP149 | doc. Mgr. Ing. František Zapletal, Ph.D. | |||||

Summary | ||||||

Learning Outcomes of the Course Unit | ||||||

The aims of the subject is as follows:
- to provide fundamentals of a systems approach; - to present the classification of methods of the Operations research; - to provide fundamentals in economic-mathematical modeling using the OR methods; - to present selected methods of network analysis and their applications in project management; - to present the basics of mathematical optimization, in particular the linear programming; - to make participants familiar with SW products which can be used to solve OR problems efficiently; - to learn the participants how to provide the sensitivity analysis and how to interpret the results of modelling. | ||||||

Course Contents | ||||||

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. | ||||||

Recommended or Required Reading | ||||||

Required Reading: | ||||||

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. | ||||||

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. | ||||||

Recommended Reading: | ||||||

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. | ||||||

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. | ||||||

Planned learning activities and teaching methods | ||||||

Lectures, Tutorials | ||||||

Assesment methods and criteria | ||||||

Tasks are not Defined |