Course detail
Operational and System Analysis
FAST-CP03Acad. year: 2011/2012
The subject shall provide basic overview of the terminology of system engineering and basic types of optimisation tasks including the most often used mathematical methods for their solution. Within the subject students are acquainted with linear programming, non-linear programming, dynamic programming, graph theory, network analysis methods, combinatorial methods etc. Particular methods are applied to water management and in the scope of the exercises students solve real simple case studies on optimisation problems with the use of available software, such as SOLVER module within MS Excel. Some of the tasks are also solved in terms of sub-optimal solutions and the selection of the optimal solution by means of multi-criteria function.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Department
Learning outcomes of the course unit
Prerequisites
Co-requisites
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
Course curriculum
2. Linear programming – methods of graphical solution, Simplex method
3. Dual problem of linear programming, specific problems of linear programming
4. Transportation problem – solving by MODI method
5. Non-linear programming, method of objective function linearization
6. Non-linear programming – Lagrange coefficients method
7. Dynamic programming
8. Poly-optimal problems, solving techniques
9. Combinatory problems, zero-one programming
10. Graph theory, minimum graph frame and minimum graph trace
11. Network analysis – metohods of project control
12. Neural networks, genetic algorithms
13. Risk analysis
Work placements
Aims
Specification of controlled education, way of implementation and compensation for absences
Recommended optional programme components
Prerequisites and corequisites
Basic literature
Recommended reading
Šerek, M., Ošlejšek, J., Tuhovčák, L.: Operační a systémová analýza pro obor "V". ES VUT Brno, 1986.
Štěpánek, J.: Systémová a operační analýza. FS ČVUT, 1991.
Tuhovčák, L. , Šerek, M.: Operační a systémová analýza - Návody do cvičení. ES VUT Brno, 1987.
Classification of course in study plans