MPM_OMVE Optimization Methods

Faculty of Economics and Administration
Autumn 2021
Extent and Intensity
2/2/0. 8 credit(s). Type of Completion: zk (examination).
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
Wed 12:00–13:50 P302b, except Wed 15. 9., except Wed 3. 11.
  • Timetable of Seminar Groups:
MPM_OMVE/01: Wed 14:00–15:50 VT206, except Wed 15. 9., except Wed 3. 11., M. Matulová
Prerequisites
! BPM_OMVE Optimization Methods
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, optionally Maple, Matlab and its Optimization toolbox).
Syllabus
  • Linear programming
  • Integer and goal programming
  • Applications: distribution problem, matching problem, etc.
  • Optimization in graphs
  • Multicriteria decision analysis
  • Data envelopment analysis
  • Essentials of nonlinear programming
Literature
    required literature
  • JABLONSKÝ, Josef. Operační výzkum :kvantitativní modely pro ekonomické rozhodování. 1. vyd. Praha: Professional Publishing, 2002, 323 s. ISBN 80-86419-42-8. info
    recommended literature
  • DLOUHÝ, Martin, Josef JABLONSKÝ and Petra ZÝKOVÁ. Analýza obalu dat. První vydání. Praha: Professional Publishing, 2018, 176 stran. ISBN 9788088260127. info
  • PLEVNÝ, Miroslav and Miroslav ŽIŽKA. Modelování a optimalizace v manažerském rozhodování. Vyd. 2. Plzeň: Západočeská univerzita, 2010, 296 s. ISBN 9788070439333. info
  • GROS, Ivan and Jakub DYNTAR. Matematické modely pro manažerské rozhodování. 2. upravené a rozšířené. Praha: Vysoká škola chemicko-technologická v Praze, 2015, 303 stran. ISBN 9788070809105. info
Teaching methods
Theoretical training includes lectures, practical exercises using computer
Assessment methods
The course is ended by an examination. The prerequisite of successful completion of the course is active participation in seminars. The rating is determined by point gain from the final test. 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
Study Materials
The course is taught annually.
The course is also listed under the following terms Autumn 2016, Autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, Autumn 2022.
  • Enrolment Statistics (Autumn 2021, recent)
  • Permalink: https://is.muni.cz/course/econ/autumn2021/MPM_OMVE