MKM_OMVE Optimization Methods

Faculty of Economics and Administration
Autumn 2021
Extent and Intensity
26/0/0. 8 credit(s). Type of Completion: zk (examination).
Taught in person.
Teacher(s)
Ing. Mgr. Markéta Matulová, Ph.D. (lecturer)
Ing. Mgr. Markéta Matulová, Ph.D. (seminar tutor)
Guaranteed by
Ing. Mgr. Markéta Matulová, Ph.D.
Department of Applied Mathematics and Computer Science – Faculty of Economics and Administration
Contact Person: Lenka Hráčková
Supplier department: Department of Applied Mathematics and Computer Science – Faculty of Economics and Administration
Timetable
Sat 18. 9. 16:00–19:50 VT206, Fri 22. 10. 12:00–15:50 VT206, Fri 19. 11. 12:00–15:50 VT206, Sat 4. 12. 16:00–19:50 VT206
Prerequisites
Basic knowledge of calculus and linear algebra
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
The capacity limit for the course is 36 student(s).
Current registration and enrolment status: enrolled: 0/36, only registered: 0/36, only registered with preference (fields directly associated with the programme): 0/36
fields of study / plans the course is directly associated with
Course objectives
The course aims to deepen the knowledge of mathematical tools needed to solve the economic problems and to familiarize students with common types of optimization problems and show some basic methods for their solution (especially the simplex method for linear optimization).
Learning outcomes
Student will be able to:
- identify and formulate specific optimization problems that occur in economics, project management, production management, quality management, etc.
- Apply the algorithms used to solve these optimization problems
- Explain the solution procedure
- solving practical problems using software ( MS Excel).
Syllabus
  • 1. Linear programming, simplex method for solving LP, duality and sensitivity analysis
  • 2. Integer programming and applications: distribution problém, assignment problem, vehicle routing problém, etc.
  • 3. Optimization on graphs, Project management, methods CPM and PERT
  • 4. Multi-criteria decision analysis, multi-criteria and goal programming, data envelopment analysis
Literature
    required literature
  • JABLONSKÝ, Josef. Operační výzkum :kvantitativní modely pro ekonomické rozhodování. Online. 1. vyd. Praha: Professional Publishing, 2002. 323 s. ISBN 80-86419-42-8. [citováno 2024-04-24] info
    recommended literature
  • DLOUHÝ, Martin, Josef JABLONSKÝ and Petra ZÝKOVÁ. Analýza obalu dat. Online. První vydání. Praha: Professional Publishing, 2018. 176 stran. ISBN 9788088260127. [citováno 2024-04-24] info
  • PLEVNÝ, Miroslav and Miroslav ŽIŽKA. Modelování a optimalizace v manažerském rozhodování. Online. Vyd. 2. Plzeň: Západočeská univerzita, 2010. 296 s. ISBN 9788070439333. [citováno 2024-04-24] info
  • GROS, Ivan and Jakub DYNTAR. Matematické modely pro manažerské rozhodování. Online. 2. upravené a rozšířené. Praha: Vysoká škola chemicko-technologická v Praze, 2015. 303 stran. ISBN 9788070809105. [citováno 2024-04-24] info
Teaching methods
The course is divided into four tutorials. Students are expected to selfstudy, to do the homework and pass through four auto-correction tests.
Assessment methods
The course is ended by an examination. The rating is determined by point gain from -the final test - auto-correction tests - homework Any copying, recording or leaking tests, use of unauthorized tools, aids and communication devices, or other disruptions of objectivity of exams (credit tests) will be considered non-compliance with the conditions for course completion as well as a severe violation of the study rules. Consequently, the teacher will finish the exam (credit test) by awarding grade "F" in the Information System, and the Dean will initiate disciplinary proceedings that may result in study termination.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Information on the extent and intensity of the course: tutoriál 16 hodin.
Information on course enrolment limitations: Předmět bude otevřen při minimálním počtu 10 zapsaných studentů.
The course is also listed under the following terms Autumn 2019, Autumn 2020, Autumn 2022, Autumn 2023.
  • Enrolment Statistics (Autumn 2021, recent)
  • Permalink: https://is.muni.cz/course/econ/autumn2021/MKM_OMVE