#
ESF:BPM_AOME Optimization Methods - Course Information

## 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:

*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**- TAHA, Hamdy A.
*Operations research : an introduction*. 7th ed. Upper Saddle River, N.J.: Prentice Hall, 2003. xvii, 830. ISBN 0130323748. info

*required 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

*recommended literature*- TAHA, Hamdy A.
**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.

- Enrolment Statistics (Spring 2018, recent)
- Permalink: https://is.muni.cz/course/econ/spring2018/BPM_AOME