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Lecturer(s)
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Pavlačka Ondřej, RNDr. Ph.D.
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Ženčák Pavel, RNDr. Ph.D.
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Course content
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1. Classification of mathematical modelling tools in Economics, basic principles of designing mathematical models in Operations Research. 2. Network analysis: activity on arrow models - basic concepts, CPM method, PERT method, time-cost analysis, activity on node models - basic concepts, MPM method. 3. Renewal models: renewal of ageing equipment models; renewal of failing element models. 4. Queueing theory models: descriptive models with single-server case with limited and unlimited queue, models of multiple-server case, models with priority queue, optimization models. 5. Deterministic inventory models: uniform demand (shortages not permitted, shortages permitted), multiproduct inventory models (inventory strategies, inventory control under the constraints). 6. Stochastic inventory models - a single period model with no setup cost, basic strategies of multi-period models.
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Learning activities and teaching methods
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Lecture, Dialogic Lecture (Discussion, Dialog, Brainstorming), Projection (static, dynamic)
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Learning outcomes
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Gain knowledge and understanding of the selected models of operations research.
Understanding Student will understand the theoretical basis of the presented mathematical models. Application Students will be able to apply the presented mathematical methods to solving selected real-life problems.
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Prerequisites
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Basic calculus, Probability theory and Statistics
KMA/PST
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Assessment methods and criteria
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Mark, Oral exam, Written exam
Credit: Active participation, written test. Exam: The student has to be able to describe particular models and to solve basic problems with these models.
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Recommended literature
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F. S. Hillier, G. J. Lieberman. (2001). Introduction to operations research, 7th edition. New York.
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F. S. Hillier, G. J. Lieberman. (1990). Introduction to Stochastic Models in Operation Research. McGraw-Hill.
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Fábry, J. (2011). Matematické modelování. Praha, Professional Publishing.
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Gros, I. (2003). Kvantitativní metody v manažerském rozhodování. Grada, Praha.
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Hušek, R., Maňas, M. (1989). Matematické modely v ekonomii. SNTL, Praha.
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Jablonský, J. (2007). Operační výzkum - kvantitativní modely pro ekonomické rozhodování (3. vydání). Professional Publishing.
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Michael Carter, Camille C. Price, Ghaith Rabadi. (2018). Operations Research: A Practical Introduction (Advances in Applied Mathematics) 2nd Edition. Chapman and Hall/CRC.
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Šubrt, T. a kol. (2019). Ekonomicko-matematické metody - 3. vydání. Vydavatelství a nakladatelství Aleš Čeněk s.r.o.
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Volejníková, J., Sluková, K., Liška, V. (2012). Matematické modelování. Praha, Professional Publishing.
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Zimola, B. (2002). Operační výzkum [online]. Zlín, Vysoké učení technické v Brně. Fakulta managementu a ekonomiky ve Zlíně.
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