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Lecturer(s)
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Bulíček Josef, doc. Ing. Ph.D.
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Drdla Pavel, doc. Ing. Ph.D.
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Course content
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- Deterministic models. - Stochastic models. - Basics of simulation modelling. Generation of stochastic input values in simulation models. - Decision making problems. Methods of game theory, application for decision making in conflicting situations. - Schedules. Transport application, spatial, time and circulation schedules. - Basic principles of periodic transport systems, mathematical methods, systematic transport processes. - Integrated periodic timeschedule - properties, dependencies modelled by graph theory, optimization, patterns and conditions. - Integrated interchange junctions - characteristics, parameters, layout optimization, mathematical dependencies.
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Learning activities and teaching methods
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unspecified
- Home preparation for classes
- 100 hours per semester
- Participation in classes
- 16 hours per semester
- Home preparation for classes
- 100 hours per semester
- Participation in classes
- 16 hours per semester
- Independent critical reading
- 35 hours per semester
- Independent critical reading
- 35 hours per semester
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Learning outcomes
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The general role of the subject is to interconnect research activities of the PhD students with mathematical tools. Overview of mathematical methods is taking a part in the subject. General optimizing and modelling methods as well as methods of timetable construction are included.
PhD students will have got an overview of discussed mathematical methods. They are prepared to further deepening their knowledge according to the needs arising during their research activities.
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Prerequisites
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There are no previous requirements on the PhD students, but overview about method of operational analysis and statistics is advantageous.
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Assessment methods and criteria
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Oral examination
Studying of issue and discussion about possible research topics are expected during the subject. Exam passing is needed at the end of the subject.
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Recommended literature
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Achimská, V. Modelovanie systémov. Žilina, 2011. ISBN 978-80-554-0450-9.
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Albright, S. Christian. Data analysis & decision making. Mason: Thomson South-Western, 2006. ISBN 0-324-40086-1.
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Asmussen, Soren. Stochastic simulation : algorithms and analysis. New York: Springer Science+Business Media, 2007. ISBN 978-0-387-30679-7.
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Drdla, Pavel. Osobní doprava regionálního a nadregionálního významu. Pardubice: Univerzita Pardubice, Dopravní fakulta Jana Pernera, 2018. ISBN 978-80-7560-189-6.
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Eiselt, Horst A.. Decision analysis, location models, and scheduling problems. Berlin: Springer-Verlag, 2010. ISBN 978-3-642-07315-1.
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Kušnierová, J., Hollarek, T. Metódy modelovania a prognózovania prepravného a dopravného procesu. Žilina, 2000. ISBN 80-7100-673-4.
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Liebchen. Periodic Timetable Optimization in Public Transport. Berlin, 2006. ISBN 978-3-86624-150-X.
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Nelson, Barry L. Stochastic modeling : analysis and simulation. New York: McGraw-Hill, 1995. ISBN 0-07-046213-5.
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Ortúzar Salas, Juan de Dios. Modelling transport. Chichester: John Wiley & Sons, 2011. ISBN 978-0-470-76039-0.
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Pinedo, Michael L. Scheduling : theory, algorithms, and systems. New York: Springer, 2012. ISBN 978-1-4614-1986-0.
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Schneeweiss, Christoph. Distributed decision making. Berlin: Springer-Verlag, 2003. ISBN 3-540-40201-2.
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Univerzita Pardubice. Modelování technologických procesů v dopravě. Pardubice: Univerzita Pardubice Dopravní fakulta Jana Pernera, 2011. ISBN 978-80-7395-442-0.
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