Course detail
Operational and System Analysis
FAST-CP03Acad. year: 2014/2015
The subject provide the basic overview of the terminology of system analysis and basic types of optimisation tasks including the most often used methods of operation research and its implementation in water management as linear programming, non-linear programming, dynamic programming, multi criteria optimistion, graph theory, network analysis methods, project management, arificial neural networks, genetic algorithm and risk analysis.
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 method
7. Polyoptimal problems, pareto solving techniques
8. Combinatorial problems, bivalent programming
9. Graph theory, minimum graph frame and minimum graph trace
10.Network analysis – methods of project control
11.Dynamic programming
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
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
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 method
7. Polyoptimal problems, pareto solving techniques
8. Combinatorial problems, bivalent programming
9. Graph theory, minimum graph frame and minimum graph trace
10.Network analysis – methods of project control
11.Dynamic programming
12.Neural networks, genetic algorithms
13.Risk analysis
Exercise
Teacher / Lecturer
Syllabus
2. Linear programming – methods of graphical solution
3. Linear programming – Simplex method - Excel SOLVER
4. Dual problem of linear programming - Excel SOLVER
5. Distriubution problem - Excel SOLVER
6. Non-linear programming – Lagrange method
7. Non-linear programming – Lagrange method
8. Combinatorial methods - method Monte-Carlo
9. MS Project software tool
10.Graph theory - Critical Path Method
11.MS Project - project management
12.MS Project - project management
13.Credit