Course detail

Operational and System Analysis

FAST-NPA017Acad. year: 2024/2025

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

Mode of study

Not applicable.

Guarantor

doc. Ing. Jaroslav Raclavský, Ph.D.

Department

Institute of Municipal Water Management (VHO)

Entry knowledge

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

Rules for evaluation and completion of the course

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

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.
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.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Not applicable.

Recommended reading

Not applicable.

Elearning

eLearning: currently opened course

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. Jaroslav Raclavský, Ph.D.
Ing. Michal Vojkůvka, Ph.D.
doc. Ing. Vít Hromádka, Ph.D.
Ing. Jan Ručka, Ph.D.
Ing. et Ing. Petr Trtílek
Ing. Ondřej Pilný, Ph.D.
Mgr. Almíra Pitronová

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

Ing. Michal Novotný

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.

Elearning

eLearning: currently opened course