| Course Unit Code | 342-0335/03 |
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| Number of ECTS Credits Allocated | 3 ECTS credits |
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| Type of Course Unit * | Choice-compulsory |
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| Level of Course Unit * | First Cycle |
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| Year of Study * | Second 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 | |
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| Prerequisities | Course Unit Code | Course Unit Title |
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| 310-2112 | Mathematics II |
| Name of Lecturer(s) | Personal ID | Name |
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| DOR028 | doc. Ing. Michal Dorda, Ph.D. |
| Summary |
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Optimization methods and their importance for industrial and transportation applications.
Project management.
The basic optimization problem associated with the transport networks.
Methods of optimizing the movement of vehicles for transport networks.
Operating systems and mathematical modeling.
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| Learning Outcomes of the Course Unit |
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The student will learn:
- the meaning of optimization methods from operational research to solve technical problems and transport practices,
- the basic functions and optimization algorithms relating to the transport network,
- the basic types of problems and algorithms related to optimizing the movement of vehicles on road networks,
- the issue of basic types of service systems, the possibilities of mathematical modeling and determination of their basic operating characteristics. |
| Course Contents |
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The terminology of graph theory applicable to problems in mathematical modeling of basic traffic theory
Problem of calculating the distance between the nodes of transport network
tours in transport networks and the possibility of using optimization methods
and planning, service center locations in the specified transport network
Project management
Linear programming and its application in solving decision problems
transport
Selected types of linear models - the planning of the production program, the role of transport and possible solutions
Basic knowledge of modeling the behavior of selected types of service systems, calculations of operating characteristics
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| Recommended or Required Reading |
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| Required Reading: |
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DANĚK, J., TEICHMANN, D.: Optimization of transport processes. Ostrava: VSB-TU Ostrava, 2005, ISBN 80-248-0996-6.
FRONC, M., B.: Operational analysis. Bratislava: ALFA, 1989, ISBN 80-05-00219-X
JABLONSKÝ, J. Operational Research. Praha: Professional Publishing, 2002, ISBN 80-86419-42-8.
KLUVÁNEK, P.; BRANDALÍK, F.: Operational analysis I. Bratislava: ALFA, 1982.
VOLEK, J. Operations Research I. Pardubice: Univerzita Pardubice, 2002, ISBN 80-7194-410-6.
VOLEK, J.; FRONCOVÁ, H.; MRAVÍKOVÁ, E.; STANKOVIANSKÁ, I: Operational Analysis II. PRAGUE: NADAS, 1990, ISBN 80-7100-025-6.
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DANĚK, J.; TEICHMANN, D.: Optimalizace dopravních procesů. OSTRAVA: VŠB-TU OSTRAVA, 2005, ISBN 80-248-0996-6.
FRONC, M., B.: Operačná analýza. BRATISLAVA: ALFA, 1989, ISBN 80-05-00219-X
JABLONSKÝ, J.: Operační výzkum. PRAHA: PROFESSIONAL PUBLISHING, 2002, ISBN 80-86419-42-8.
KLUVÁNEK, P.; BRANDALÍK, F.: Operační analýza I. BRATISLAVA: ALFA, 1982.
VOLEK, J.: Operační výzkum I. PARDUBICE: Univerzita Pardubice, 2002, ISBN 80-7194-410-6.
VOLEK, J.; FRONCOVÁ, H.; MRAVÍKOVÁ, E.; STANKOVIANSKÁ, I.: Operačná analýza II. PRAHA: NADAS, 1990, ISBN 80-7100-025-6.
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| Recommended Reading: |
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ČERNÝ, J, KLUVÁNEK, P.: Introduction to Mathematical Theory of Transport. Bratislava: ALFA, 1990, ISBN 80-224-0099-8.
JANÁČEK, J.: Modeling Communication Systems I. Prague: NADAS, 1990, ISBN 80-7100-028-0.
JANÁČEK, J.: Modelling of Communication Systems II. Žilina: VŠDS in Zilina, 1992, ISBN 80-7100-070-1.
CENEK, P., KLIMA, V., JANÁČEK, J.: Optimization of transport and communication processes. Žilina: VŠDS in Zilina, 1994 ISBN 80-7100-197-X.
JANÁČEK, J.: Mathematical Programming. Žilina: University of Žilina, 1999, ISBN 80-7100-573-8.
JANÁČEK, J.: Optimization of transport networks. Žilina: University of Žilina, 2002, ISBN 80-8070-031-1.
PALÚCH, S., PEŠKO, S.: Quantitative methods in logistics. Žilina: University of Žilina, 2006, ISBN 80-8070-636-0.
PASTOR, O.; TUZAR, A.: Theory of transport systems. Praha: ASPI, 2007, ISBN 978-80-7357-285-3.
TUZAR, A., MAXA, P, SVOBODA, V.: Theory of transport. Prague: CVUT Praha, 1997, ISBN 80-01-01637-4.
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ČERNÝ, J; KLUVÁNEK, P.: Základy matematickej teórie dopravy. BRATISLAVA: ALFA, 1990, ISBN 80-224-0099-8.
JANÁČEK, J.: Modelování komunikačních systémů I. PRAHA: NADAS, 1990, ISBN 80-7100-028-0.
JANÁČEK, J.: Modelování komunikačních systémů II. ŽILINA: VŠDS V ŽILINE, 1992, ISBN 80-7100-070-1.
CENEK, P.; KLIMA, V.; JANÁČEK, J.: Optimalizace dopravních a spojových procesů. ŽILINA: VŠDS V ŽILINE, 1994, ISBN 80-7100-197-X.
JANÁČEK, J.: Matematické programování. ŽILINA: ŽU V ŽILINE, 1999, ISBN 80-7100-573-8.
JANÁČEK, J.: Optimalizace na dopravních sítích. ŽILINA: ŽU V ŽILINE, 2002, ISBN 80-8070-031-1.
PALÚCH, S.; PEŠKO, Š.: Kvantitatívne metódy v logistike. ŽILINA: ŽU V Žiline, 2006, ISBN 80-8070-636-0.
PASTOR, O.; TUZAR, A.: Teorie dopravních systémů. PRAHA: ASPI, 2007, ISBN 978-80-7357-285-3.
TUZAR, A; MAXA, P; SVOBODA, V.: Teorie dopravy. PRAHA: ČVUT v PRAZE, 1997, ISBN 80-01-01637-4.
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| 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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| Exercises evaluation and Examination | Credit and Examination | 100 (100) | 51 |
| Exercises evaluation | Credit | 35 | 18 |
| Examination | Examination | 65 | 16 |