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Lecturer(s)
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Ženčák Pavel, RNDr. Ph.D.
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Pavlačka Ondřej, RNDr. Ph.D.
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Course content
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1. Renewal models - renewal of ageing equipment models; renewal of failing element models. 2. Queueing theory models - descriptive models - single-server case with limited and unlimited queue. 3. Queueing theory models - descriptive models - multiple-server case, models with priority queue. 4. Queueing theory models - optimization models. 5. Deterministic inventory models - periodic review: uniform demand (shortages not permitted, shortages permitted). 6. Deterministic multiproduct inventory models - inventory strategies, inventory control under the constraints. 7. Stochastic inventory models - a single period model with no setup cost, basic strategies of multi-period models. 8. Input-output analysis - the open Leontief´s model, distribution equation system. 9. Input-output analysis - relation between the price of the total production and value added by working; dynamization of an input-output model.
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Learning activities and teaching methods
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Lecture, Projection (static, dynamic)
- Attendace
- 52 hours per semester
- Homework for Teaching
- 30 hours per semester
- Preparation for the Exam
- 40 hours per semester
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Learning outcomes
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To know and to comprehend selected models of operations research.
Comprehension 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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KMA/OV1 completed.
KMA/OV1
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Assessment methods and criteria
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Oral exam, Student performance
Credit: The student has to pass a test (at least 50%). 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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I. Gros. (2003). Kvantitativní metody v manažerském rozhodování. Grada.
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P. Kučera, J. Švasta. (2004). Strukturní analýza I. Česká zemědělská univerzita v Praze.
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R. Hušek, M. Maňas. (1989). Matematické modely v ekonomii. SNTL, Praha.
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