Course detail

Operational and System Analysis

FAST-CP003Acad. 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)

Výsledky učení předmětu

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.

Prerekvizity

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

Korekvizity

Not applicable.

Plánované vzdělávací činnosti a výukové metody

Not applicable.

Způsob a kritéria hodnocení

Not applicable.

Osnovy výuky

1. Subject of operational and system analysis, basic terms and types of problems
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

Pracovní stáže

Not applicable.

Učební cíle

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.

Vymezení kontrolované výuky a způsob jejího provádění a formy nahrazování zameškané výuky

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

Doporučené volitelné složky programu

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Not applicable.

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme N-K-C-SI (N) Master's

    branch V , 1. year of study, winter semester, compulsory

  • Programme N-P-E-SI (N) Master's

    branch V , 1. year of study, winter semester, compulsory

  • Programme N-P-C-SI (N) Master's

    branch V , 1. year of study, winter semester, compulsory

Type of course unit

 

Lecture

26 hours, 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 – 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

39 hours, compulsory

Teacher / Lecturer

doc. Ing. Ladislav Tuhovčák, CSc.

Syllabus

1. Excel 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