Gurantor department | Department of Systems Engineering | Credits | 4 |

Subject guarantor | doc. Mgr. Ing. František Zapletal, Ph.D. | Subject version guarantor | doc. Mgr. Ing. František Zapletal, Ph.D. |

Study level | undergraduate or graduate | ||

Study language | English | ||

Year of introduction | 2016/2017 | Year of cancellation | |

Intended for the faculties | EKF | Intended for study types | Bachelor |

Instruction secured by | |||
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Login | Name | Tuitor | Teacher giving lectures |

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

Extent of instruction for forms of study | ||
---|---|---|

Form of study | Way of compl. | Extent |

Full-time | Examination | 2+0 |

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.

Lectures

Tutorials

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.

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.

1) Feedback during seminars.
2) Written test on linear programming.
3) Written test on network analysis.

1) minimum number of points for test on linear programming.
2) minimum number of points for test on network analysis.
3) Active participation in lessons.
4) Self study.
5) Oral exam.

Subject has no prerequisities.

Subject has no co-requisities.

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.

Task name | Type of task | Max. number of points
(act. for subtasks) | Min. number of points |
---|---|---|---|

Examination | Examination | 100 | 51 |

Show history

Academic year | Programme | Field of study | Spec. | Zaměření | Form | Study language | Tut. centre | Year | W | S | Type of duty |
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Block name | Academic year | Form of study | Study language | Year | W | S | Type of block | Block owner | |
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Incoming students - bachelor study | 2020/2021 | Full-time | English | Choice-compulsory | 163 - International Office | stu. block | |||

Incoming students - bachelor study | 2019/2020 | Full-time | English | Choice-compulsory | 163 - International Office | stu. block | |||

Incoming students - bachelor study | 2018/2019 | Full-time | English | Choice-compulsory | 163 - International Office | stu. block | |||

Incoming Students | 2017/2018 | Full-time | English | Choice-compulsory | 163 - International Office | stu. block |