• Brno University of Technology - Centre of Sports Activities
  • Research centres

  • Pravděpodobně máte vypnutý JavaScript. Některé funkce portálu nebudou funkční.

Course detail

Optimization Models

Course unit code: FSI-0OM
Academic year: 2016/2017
Type of course unit: optional (voluntary)
Level of course unit: Bachelor's (1st cycle)
Year of study: 3
Semester: winter
Number of ECTS credits:
Learning outcomes of the course unit:
Although the course is designed for mathematical engineers, it is useful also for engineering students dealing with optimization problems.
Mode of delivery:
90 % face-to-face, 10 % distance learning
Prerequisites:
Basic concepts of calculus, linear algebra, and programming.
Co-requisites:
Not applicable.
Recommended optional programme components:
Not applicable.
Course contents (annotation):
The course presents fundamental mathematical models and methods for solving of optimization engineering problems. It is based on the author's experience with similar courses at the EU and US universities (Computer-Aided Optimization). It is suitable for students interested in the solution of such problems coming from various specializations and years of study. Examples of typical problems involve cases studied and solved within the framework of BUT and FME projects. Particular instances are solved by using a suitable software (MS Excel, Matlab, GAMS aj.). Modelling rules are systematicaly applied: problem formulation and analysis, model building and classification, the use of theory, transforamtions and algorithms, solution analysis and interpretation. The examples of linear, network, nonlinear, integer, dynamic and uncertain models are introduced.
Recommended or required reading:
GAMS User's Guide, GAMS Corp. 2007
GAMS Solver's Guide GAMS Corp., 2007
Williams, H.P. Model Building in Mathematical Programming, J.Wiley and Sons, 1993.
Planned learning activities and teaching methods:
The course is taught through exercises which are focused on practical topics presented in lectures.
Assesment methods and criteria linked to learning outcomes:
The student is asked to participate on the solution of proposed problems.
Language of instruction:
Czech
Work placements:
Not applicable.
Course curriculum:
Not applicable.
Aims:
The course objective is to emphasize optimization modelling and solution methods related knowledge. Computer-aided optimization is focused.
Specification of controlled education, way of implementation and compensation for absences:
The active participation at seminars is assumed.

Type of course unit:

seminars in computer labs: 26 hours, compulsory
Teacher / Lecturer: RNDr. Pavel Popela, Ph.D.
Syllabus: Basic models
Linear models
Special (network flow and integer) models
Nonlinear models
General models (parametric, multicriteria, nondeterministic,
dynamic, hierarchical)

The study programmes with the given course