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Vyučující
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Klicnarová Jana, doc. RNDr. Ph.D.
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Obsah předmětu
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1. Introduction to operations research. Formulation of linear optimization (LO) problems. 2. Principles of solving LO problems. 3. Software for solving LO problems. 4. Basic principles of data envelopment analysis. 5. Use of LO methods in data envelopment analysis, use of appropriate software. 6. Issues of multi-criteria evaluation of alternatives - introduction, basic principles. 7. Criteria preferences, alternative preferences, nominal, ordinal, cardinal information. 8. Use of software for solving MCE tasks, interpretation of results. 9. Comparison of data envelopment analysis and multi-criteria evaluation approaches, advantages and disadvantages of individual approaches. 10. Introduction to project management, graphical representation of a project. 11. Critical path method. 12. Use of software for project management. 13. Optimization in project management.
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Studijní aktivity a metody výuky
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Monologická (výklad, přednáška, instruktáž), Dialogická (diskuze, rozhovor, brainstorming), Práce s textem (učebnicí, knihou), E-learning, Práce s multimediálními zdroji (texty, internet, IT technologie), Případová studie, Blended learning
- Účast na výuce
- 42 hodin za semestr
- Semestrální práce
- 42 hodin za semestr
- Příprava na zápočet
- 28 hodin za semestr
- Příprava na zkoušku
- 28 hodin za semestr
- Domácí příprava na výuku
- 28 hodin za semestr
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Výstupy z učení
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The aim of the course is to acquaint students with mathematical modelling in agriculture and with the most useful mathematical methods of management science. The first part of the course is devoted to linear optimization (the simplex method, multiple criteria decision making). The second part of the course are Data envelopment analysis and project management (network diagrams, critical paths, time analysis of deterministic and stochastic projects, time-cost and time-resource analysis of deterministic projects).
Students will be able to create models of particular optimization problems from every-day life, to choose appropriate mathematical models and to use software to suggest the optimal solutions and explain and implement it.
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Předpoklady
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Equivalence: Operační výzkum OPV
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Hodnoticí metody a kritéria
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Ústní zkouška, Test, Seminární práce
Credit Requirements: Duly submission of seminar works and at least 40 percent of points from each of two credit tests relating to the seminar works. Examination Requirements: The exam has two parts - written and oral ones. In the written part, students have to show that they can recognise types of optimization problems, to choose suitable methods to solve them and suggest a suitable solution. To pass this part it is necessary to obtain at least 50 percent of points from the test. The written part could be forgiven if the student has at least 65 percent of points from the credit tests. The oral examination is focused on work with PC and discussions about the solution of the written part of the examination. The final mark is based on the results of the credit tests, the written and oral parts of the examination. To pass the oral part it is necessary to answer at least one of three questions.
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Doporučená literatura
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HILLIER F. S., LIEBERMAN G. J. Introduction to Operations Research. New York: McGraw-Hill, 2000, 2005, 2010 (kapitoly 1-6 a 9-10)..
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Chinneck, John W. Practical Optimization: A Gentle Introduction.. Online text.
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JABLONSKÝ, J. Operační výzkum.. Praha: VŠE, 1998.
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kol. http://moodle.ef.jcu.cz/course/view.php?id=195 pro prezenční studium.
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TZENG, Gwo-Hshiung; HUANG, Jih-Jeng. Multiple attribute decision making: methods and applications.. CRC press, 2011.
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