BPM_AOME Quantitative Methods for Decision Making

Ekonomicko-správní fakulta
jaro 2020
Rozsah
2/2/0. 8 kr. Ukončení: zk.
Vyučující
Ing. Mgr. Markéta Matulová, Ph.D. (přednášející)
Ing. Mgr. Markéta Matulová, Ph.D. (cvičící)
Garance
Ing. Mgr. Markéta Matulová, Ph.D.
Katedra aplikované matematiky a informatiky – Ekonomicko-správní fakulta
Kontaktní osoba: Mgr. Jana Nesvadbová
Dodavatelské pracoviště: Katedra aplikované matematiky a informatiky – Ekonomicko-správní fakulta
Rozvrh
St 8:00–9:50 VT202
  • Rozvrh seminárních/paralelních skupin:
BPM_AOME/01: St 12:00–13:50 VT206, M. Matulová
Předpoklady
Basic knowledge of calculus and linear algebra
Omezení zápisu do předmětu
Předmět je nabízen i studentům mimo mateřské obory.
Předmět si smí zapsat nejvýše 20 stud.
Momentální stav registrace a zápisu: zapsáno: 0/20, pouze zareg.: 0/20, pouze zareg. s předností (mateřské obory): 0/20
Mateřské obory/plány
Cíle předmětu
The course aims to deepen knowledge of mathematical tools needed to solve the economic problems. The main goal is to familiarize students with common types of optimization problems and basic methods for their solution (especially the simplex method for linear optimization).
Výstupy z učení
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
- solve practical problems using software (MS Excel, optionally Maple, Matlab and its Optimization toolbox).
Osnova
  • Linear programming
  • Simplex method for solving LP
  • Duality and sensitivity analysis
  • Applications: distribution problem
  • Applications: assignment problem, etc.
  • Integer programming
  • Optimization on graphs
  • Project management; methods CPM and PERT
  • Multi-criteria decision analysis
  • Multi-criteria and goal programming
  • Data envelopment analysis I
  • Data envelopment analysis II
Literatura
    povinná literatura
  • TAHA, Hamdy A. Operations research : an introduction. 7th ed. Upper Saddle River, N.J.: Prentice Hall, 2003, xvii, 830. ISBN 0130323748. info
    doporučená literatura
  • COOPER, William W., Lawrence M. SEIFORD a Kaoru TONE. Data envelopment analysis : a comprehensive text with models, applications, references and DEA-solver software. Second edition. New York: Springer, 2007, xxxviii, 4. ISBN 9780387452814. info
  • HILLIER, Frederick S. a Gerald J. LIEBERMAN. Introduction to operations research. 6th ed. New York: McGraw-Hill, 1995, xix, 998. ISBN 0071139893. info
Výukové metody
Theoretical training: lectures and homework
Instructions: problem solving using computer
Metody hodnocení
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.
Vyučovací jazyk
Angličtina
Další komentáře
Studijní materiály
Předmět je vyučován každoročně.
Předmět je zařazen také v obdobích jaro 2018, jaro 2019, jaro 2021, jaro 2022, jaro 2023, jaro 2024, jaro 2025.