Course detail

Operational and System Analysis

FAST-NPA017Acad. year: 2022/2023

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

Czech

Number of ECTS credits

6

Mode of study

Not applicable.

Guarantor

doc. Ing. Ladislav Tuhovčák, CSc.

Department

Institute of Municipal Water Management (VHO)

Learning outcomes of the course unit

The student manages the basic knowledge of linear and non-linear programming, graph theory, multicriteria optimisation methods, project management, Artificial Neural network and Genetic algoritm. Get the basic skill with using the software tools Excel-Solver and MS Project.

Prerequisites

Mathematics in scope of bachelor study program Civil Engineering, the basic knowledge of the Excel software tool.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Not applicable.

Course curriculum

1. Subject of operational and system analysis, basic terms and types of problems.
2. Linear programming – 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

Not applicable.

Aims

Get the basic knowledge of operation reserach methods which are used in water management as a linear and non-linear programming, graph theory, multicriteria optimisation methods, Artificial Neural Networks, Genetic Algoritm. Handle the fundamental solution of optimization problems using the module SOLVER (Excel) and project management with MS Project tool.

Specification of controlled education, way of implementation and compensation for absences

Extent and forms are specified by guarantor’s regulation updated for every academic year.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Not applicable.

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme NPC-SIV Master's 1 year of study, winter semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

doc. Ing. Ladislav Tuhovčák, CSc.

Syllabus

1. Subject of operational and system analysis, basic terms and types of problems. 2. Linear programming – 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

39 hod., compulsory

Teacher / Lecturer

doc. Ing. Ladislav Tuhovčák, CSc.

Syllabus

1. Excel SOLVER. 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.