Course Details
Operational and System Analysis
Academic Year 2023/24
CP003 course is part of 1 study plan
N-P-C-SI (N) / V Winter Semester 1st year
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.
Course Guarantor
Institute
Objective
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.
Knowledge
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.
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
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
Prerequisites
Mathematics in scope of bachelor study program Civil Engineering, the basic knowledge of the Excel software tool
Language of instruction
Czech
Credits
6 credits
Semester
winter
Forms and criteria of assessment
course-unit credit and examination
Specification of controlled instruction, the form of instruction, and the form of compensation of the absences
Extent and forms are specified by guarantor’s regulation updated for every academic year.
Offered to foreign students
Not to offer
Course on BUT site
Lecture
13 weeks, 2 hours/week, elective
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
13 weeks, 3 hours/week, compulsory
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