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Lecturer(s)
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Bulíček Josef, doc. Ing. Ph.D.
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Course content
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Basic concepts of the Theory of Transport, methodological apparatus and terminology of the discipline. Mathematical models and optimization of transport networks (graph theory) - shortest paths, maximal traffic flow in network, inspection routes. Transport flows, their indicators - speed, density, intensity. Transport demand - basics of four-stage transport modelling. Gravity transport model for trip distribution. Traffic assignment (assignment of traffic flows into network). Optimisation of line structure, timetables and vehicle circulation in public transport. Location and allocation of service centres - planar and discrete (warehouse location problem).
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Learning activities and teaching methods
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unspecified, Monologic (reading, lecture, briefing), Demonstration
- Participation in classes
- 52 hours per semester
- Preparation for an exam
- 50 hours per semester
- Home preparation for classes
- 58 hours per semester
- Independent critical reading
- 20 hours per semester
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Learning outcomes
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Theory of transport deals with transport systems and processes on general level with regard on transport optimisation. The course is also focused on selected mathematical optimizing methods for basic tasks in transport. These methods are able to be applied in different transport modes. The Theory of Transport is focused on following topics. Methodological apparatus and terminology of the discipline. Mathematical models and optimization of transport networks (graph theory). Transport flows, their indicators. Transport demand - basics of four-stage transport modelling. Gravity transport model for trip distribution. Traffic assignment. Optimisation of line structure, timetables and vehicle circulation in public transport. Location and allocation of service centres.
After course completion, student is knowledgeable how to solve basic problems in transport using basic mathematical optimisation methods, including four-stage transport modelling.
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Prerequisites
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There are no specific prerequisities invited. Overview about basic mathematics could be an advantage.
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Assessment methods and criteria
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Written examination
The minimum required attendance is 70% (fixed time schedule - once a week). Higher level of absence can be excused in justified cases with documented reasons (for example, a medical report). Individual completion of examples from the classes (the aim is to solve as many examples as possible directly in class). Exam - written test consised of open questions focused on basic principles how to solve the issues (of computations) and on basic theory.
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Recommended literature
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Černá, Anna. Manažerské rozhodování o dopravních systémech. Pardubice: Univerzita Pardubice, 2014. ISBN 978-80-7395-849-7.
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Černý, Ján. Základy matematickej teórie dopravy. Bratislava: Veda, 1989. ISBN 80-224-0099-8.
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Christopenides, N. Graph Theory, an Algorithmic Approach. Acad. press New York - London - san Francisco, 1975.
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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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Tuzar, A. Teorie dopravy. Pardubice, 1996.
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