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Lecturer(s)
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Brázdová Markéta, Ing. Ph.D.
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Course content
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Applications of Graph Theory. Mathematical Programming, basic models. Theory of Queues, application in transportation networks. Theory of Stocks. Theory of time schedules, network analysis, CPM, PERT. Theory of Games, antagonic conflict of 2 and more players. Distribution tasks and collection-allocation tasks. Location analysis.
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Demonstration, Projection, Skills training
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Learning outcomes
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The aim of the subject is to acquaint students with main pronciples of decision making models design in different areas of operational research. The approach to the learning is problem oriented without of self-contained theory.
Graduate of the subject disposes the ability of formulation problems from transportation practice with different approaches by use of quantitative decision making methods as Linear Programming, Graph Theory, Theory of Games etc.
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Prerequisites
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Conversancy with solution of problems of Mathematical Programming an Graphs Theory.
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Assessment methods and criteria
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Oral examination, Written examination
Form, contents and length of the exam is determined in accordance with Study and Examining Rules of University of Pardubice. The exam consists of two parts, a written test and a theoretical exam. Student passes successfully the written test as well as the theoretical part of the exam if he/she obtains at minimum 50% of possible points in each part.
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Recommended literature
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Blackwell, D., Girshick, M. A. Theory of games and statistical decisions.
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Cenek, Petr. Optimalizace dopravních a spojových procesů. Žilina: Vysoká škola dopravy a spojov, 1994. ISBN 80-7100-197-X.
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Demel, J. Grafy a jejich aplikace. Academia, 2002. ISBN 80-200-0990-6.
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Jablonskij, S. Úvod do diskrétní matematiky.
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Makower, M. S., Williamson, E. Základy operačnej analýzy. ALFA: Bratislava, 1970. ISBN 63-091-70.
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Zítek, F. Ztracený čas.
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