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Lecturer(s)
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Heckenbergerová Jana, Mgr. Ph.D.
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Course content
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Formulation of linear programming problems. Mathematical model of LP problems, simplex method. Duality, stability of solutions. Transport problem, assignment problem. General distribution problem, round trips. Basic concepts of graph theory, paths on graphs, flows in networks. Project management - CPM and PERT methods. Deterministic inventory models. Stochastic inventory models. Markov chains. Mass service models, M/M/n system. Non-Markov mass service systems. Restocking models .
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Learning activities and teaching methods
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- Contact teaching
- 65 hours per semester
- Preparation for a credit (assessment)
- 15 hours per semester
- Home preparation for classes
- 40 hours per semester
- Preparation for an exam
- 30 hours per semester
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Learning outcomes
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The aim of the course is to teach students how to use selected methods of operations research.
A student who has successfully completed the course can: Recognize real-world problems that can be solved using operations research methods; explain the nature of selected operational research methods A student who has successfully completed the course will be able to: formulate these problems so that operations research methods can be used to solve them; use optimisation methods correctly; solve specific problems using these methods; interpret the results of these calculations. A student who has successfully completed the course is able to: Communicate clearly and persuasively information arising from the results of optimization problems.
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Prerequisites
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The prerequisite for successful completion of the course is knowledge of mathematics, matrix and vector calculus and probability theory to the extent normally taught at universities.
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Assessment methods and criteria
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unspecified
Credit assignment - active participation in the exercises according to FES regulations Examination - written, consists of 2 parts: examples and theory I
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Recommended literature
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HILLIER, Frederick S. a LIEBERMAN, Gerald J. Introduction to operations research. New York, 2021. ISBN 978-1-260-57587-3.
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LINDA, Bohdan a VOLEK, Josef. Linear programming: study material. Pardubice, 2014. ISBN 978-80-7395-791-9.
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TAHA, Hamdy A. Operations research: an introduction. Harlow, 2017. ISBN 978-1-292-16554-7.
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