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Lecturer(s)
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Linda Bohdan, doc. RNDr. CSc.
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Záhorová Věra, Mgr. Ph.D.
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Course content
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Theory of random processes. Point processes and its most important characteristics. Poisson random process, Markov processes, Markov chains. Method of nested chain by Markov. Theory of bulk service. Markov systems of bulk service, system M/M/n and its variations. Non-Markov systems of bulk service. System M/D/1, system M/G/1, system M/Ek/1, closed systems of bulk service. Theory of storage.Basic terms of the theory of storage, deterministic models of storage with and without deficit. Stochastic models of storage. Models of storage signaling changes, cyclic model of storage, statistical models of storage. Profit oriented models of storage. Renewal theory, renewal systems where objects get worn out. Renewal systems where elements break down, renewal equation, age structure, limit age structure.
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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 course is to teach the students most used methods of the operations research. These methods apply theory of probability and its use in economics and other social sciences.
Student will be able to use methods of operational research in order to acquire exact solutions in various decision making situations.
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Prerequisites
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Prerequisite for successful mastering of this subject is knowledge of mathematics, probability theory and statistics within the range taught at universities.
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Assessment methods and criteria
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Oral examination, Written examination
Examination-comprises of two parts, theoretical and practical. At least 51% success rate is required in each part and may not miss a substantial portion of subject matter .
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Recommended literature
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Gross, D., Harris, C.M. Fundamentals of Queueing Theory. Wiley, New York, 1985. ISBN 0-471-89067-7.
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Hillier, F. S., Lieberman, G. J. Introduction to Operations Research. Mc Graw-Hill, Boston, 2001. ISBN 0-07-121744-4.
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Hillier,S.F.,Lieberman,G.J. Introduction to Operations Research. McGraw Hill, 2001. ISBN 0-07-121744-4.
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Linda, Bohdan. Stochastické metody operačního výzkumu. Bratislava: Statis, 2004. ISBN 80-85659-33-6.
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