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Lecturer(s)
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Pavlačka Ondřej, RNDr. Ph.D.
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Course content
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A brief overview of the history of mathematical applications in economy. Classification of the mathematical tools of modeling in economy. Network analysis: optimal paths in graphs, critical path analysis - CPM, PERT. Models of bulk service theory: stationary probabilities, exponential one-channel system with unlimited and limited length of a line, system with channels arranged in parallel. Models of renewal: Renewal of ageing equipment models. Renewal of failing elements models. Inventory models: Deterministic inventory models - periodic one-product and multi product restocking. Stochastic inventory models - single supply, periodic one-product restocking - strategies (q,r) and (S,d). Input-output analysis: open Leontief model, dynamization of the input-output model. Production function.
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Learning activities and teaching methods
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Dialogic Lecture (Discussion, Dialog, Brainstorming), Work with Text (with Book, Textbook)
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Learning outcomes
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To master the theoretical basis of operational research
Understanding To understand the theoretical basis of operational research.
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Prerequisites
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Master's degree in mathematics.
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Assessment methods and criteria
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Oral exam
Exam: to know and to understand the subject
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Recommended literature
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I. Gros. (2003). Kvantitativní metody v manažerském rozhodování. Grada.
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R. Hušek, M. Maňas. (1989). Matematické modely v ekonomii. SNTL, Praha.
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