BPM_AOME Optimization Methods

Faculty of Economics and Administration
Spring 2018
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: Mgr. Jana Nesvadbová
Supplier department: Department of Applied Mathematics and Computer Science - Faculty of Economics and Administration
Timetable
Wed 9:20–11:00 VT105
  • Timetable of Seminar Groups:
BPM_AOME/01: Wed 12:50–14:30 VT206, M. Matulová
Prerequisites
Basic knowledge of calculus and linear algebra
Course Enrolment Limitations
The course is offered to students of any study field.
The capacity limit for the course is 20 student(s).
Current registration and enrolment status: enrolled: 1/20, only registered: 0/20, only registered with preference (fields directly associated with the programme): 0/20
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
- solve practical problems using software ( MS Excel, optionally Maple, Matlab and its Optimization toolbox).
Syllabus
  • 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
Literature
    required literature
  • TAHA, Hamdy A. Operations research : an introduction. 7th ed. Upper Saddle River, N.J.: Prentice Hall, 2003. xvii, 830. ISBN 0130323748. info
    recommended literature
  • COOPER, William W., Lawrence M. SEIFORD and 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. and Gerald J. LIEBERMAN. Introduction to operations research. 8th ed. New York: McGraw-Hill, 2005. xxv, 1061. ISBN 0072527447. info
Teaching methods
Theoretical training: lectures and homework
Instructions: problem solving 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
English
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Spring 2019, Spring 2020, Spring 2021.
  • Enrolment Statistics (Spring 2018, recent)
  • Permalink: https://is.muni.cz/course/econ/spring2018/BPM_AOME