| Course Unit Code | 342-3384/01 |
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| Number of ECTS Credits Allocated | 4 ECTS credits |
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| Type of Course Unit * | Compulsory |
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| Level of Course Unit * | First Cycle |
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| Year of Study * | Third Year |
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| Semester when the Course Unit is delivered | Winter Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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| Name of Lecturer(s) | Personal ID | Name |
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| DOR028 | doc. Ing. Michal Dorda, Ph.D. |
| Summary |
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| The course is aimed at acquainting students with the basic methods of operational research, which are useful to support decision-making in the field of air transport. The content of the course is divided into three basic thematic areas, which are focused on the field of graph theory, mathematical modeling and queueing theory. |
| Learning Outcomes of the Course Unit |
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| The content of the course is divided into three basic thematic areas, which are focused on the field of graph theory, mathematical modeling and queueing theory. Students will be acquainted with the basic theoretical knowledge in these areas of operations research, will be able to choose a suitable method for solving selected problems from aviation practice and will be able to solve these problems effectively. |
| Course Contents |
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1. Introduction to operational research methods.
2. Basic concepts of graph theory.
3. Distances in graphs.
4. Project management methods - Critical path method - theoretical foundations.
5. Project management methods - Critical path method - practical applications in air transport.
6. MProject management methods - PERT method - theoretical foundations and practical applications in air transport.
7. Introduction to mathematical programming.
8. Models for planning in air transport - assigning crews to flights.
9. Models for planning in air transport - optimization of the destination portfolio of regional airports.
10. Introduction to queueing theory.
11. Queueing system without queue and its application in air transport.
12. Queueing system with infinite queue length and its application in air transport.
13. Queueing system with limited queue length and its application in air transport.
14. Use of simulation in queueing theory, demonstration of practical application from air transport in the simulation program Witness. |
| Recommended or Required Reading |
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| Required Reading: |
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Daganzo, C.,F. Fundamentals of Transportation and Traffic Operations, Mesa: Emerald, Inc., 2008. ISBN 978-0-08-042785-0.
Sokolowski, J. A.; Banks, C. M., ed. Principles of modeling and simulation: a multidisciplinary approach [online]. Hoboken: John Wiley & Sons, 2008 [cit. 2021-02-28]. ISBN 978-0-470-40356-3. |
Cenek, P.; Klima, V.; Janáček, J. Optimalizace dopravních a spojových procesů. Žilina: VŠDS v Žilině, 1994. ISBN 80-7100-197-X.
Černý, J.; Kluvánek, P. Základy matematickej teórie dopravy. Bratislava: VEDA, 1991. ISBN 80-224-0099-8.
Daganzo, C.,F. Fundamentals of Transportation and Traffic Operations, Mesa: Emerald, Inc., 2008. ISBN 978-0-08-042785-0.
http://www.vvvd.cz/m14-optimalizace-technologickych-procesu-29.html
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| Recommended Reading: |
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Schöbel, A.. Optimization in Public Transport. New York: Springer, 2006. ISBN 978-0-38-732896-6.
Bennett, B. S. Simulation fundamentals. London: Prentice Hall, 1995. ISBN 0-13-813262-3. |
Pastor, O.; Tuzar, A. Teorie dopravních systémů. Praha: Wolters Kluwer, 2007. ISBN 978-80-7357-285-3.
Jablonský, J. Operační výzkum: kvantitativní modely pro ekonomické rozhodování. 3. vyd. Praha: Professional Publishing, 2007. ISBN 978-80-86946-44-3.
Daněk, J.; Teichmann, D. Optimalizace dopravních procesů. Ostrava: VŠB-TU Ostrava, 2005. ISBN 80-248-0996-6. |
| Planned learning activities and teaching methods |
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| Lectures, Tutorials |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Credit and Examination | Credit and Examination | 100 (100) | 51 |
| Credit | Credit | 35 | 16 |
| Examination | Examination | 65 | 35 |