CTU FEE Moodle
Optimization Methods
B232 - Summer 23/24
This is a grouped Moodle course. It consists of several separate courses that share learning materials, assignments, tests etc. Below you can see information about the individual courses that make up this Moodle course.
Optimization Methods - A7B16OMR
Main course
| Credits | 5 |
| Semesters | Winter |
| Completion | Assessment + Examination |
| Language of teaching | Czech |
| Extent of teaching | 2+2c |
Annotation
Optimization models and their utilization in practice, principles of modelling and elements of decision models. Linear programming, integer programming. Distribution models. Introduction to theory of graphs and optimization tasks on graphs. Project management (CPM, PERTH, resources, costs) and its utilization in practice. Decision processes. Multiobjective decision making and its application in practice
Study targets
No data.
Course outlines
1.Introduction - models, modelling
2.Linear programming - assumptions, graphical solution, simplex method
3.Duality in linear programming
4.Integer linear models
5.Transportation and assignment problems
6.Graphs and optimization on graphs
7.Project management - project scheduling with CPM/PERTH
8.Scheduling and controlling of resources and project costs
9.Decision processes - classification, steps of decision process
10.Risk in decision processes
11.Multiobjective optimization - weights of criteria
12.Discrete multiobjective tasks
13.Multiobjective vector tasks
14.Principles of application of optimization models in practice
2.Linear programming - assumptions, graphical solution, simplex method
3.Duality in linear programming
4.Integer linear models
5.Transportation and assignment problems
6.Graphs and optimization on graphs
7.Project management - project scheduling with CPM/PERTH
8.Scheduling and controlling of resources and project costs
9.Decision processes - classification, steps of decision process
10.Risk in decision processes
11.Multiobjective optimization - weights of criteria
12.Discrete multiobjective tasks
13.Multiobjective vector tasks
14.Principles of application of optimization models in practice
Exercises outlines
1.Introduction, rules
2.Linear programming - task formulation, graphical solution
3.Linear programming - simplex method, SW support
4.Linear programming - duality
5.Integer linear programming
6.Transportation problem
7.Optimization on graphs
8.Project scheduling with CPM/PERTH
9.Scheduling and controlling of resources and project costs
10.Test, seminar work
11.Decision under risk and uncertainty
12.Discrete multiobjective tasks
13.Multiobjective vector tasks
14.Tuition to seminar work, assessment
2.Linear programming - task formulation, graphical solution
3.Linear programming - simplex method, SW support
4.Linear programming - duality
5.Integer linear programming
6.Transportation problem
7.Optimization on graphs
8.Project scheduling with CPM/PERTH
9.Scheduling and controlling of resources and project costs
10.Test, seminar work
11.Decision under risk and uncertainty
12.Discrete multiobjective tasks
13.Multiobjective vector tasks
14.Tuition to seminar work, assessment
Literature
DUDORKIN J.: Operační výzkum. Skriptum FEL ČVUT
DUDORKIN J.: Systémové inženýrství a rozhodování. Skriptum FEL ČVUT
JABLONSKÝ J.: Operační výzkum. Professional Publishing, Praha 2002
FOTR J., DĚDINA J., HRŮZOVÁ H.: Manažerské rozhodování. Ekopress, Praha 2000
DUDORKIN J.: Systémové inženýrství a rozhodování. Skriptum FEL ČVUT
JABLONSKÝ J.: Operační výzkum. Professional Publishing, Praha 2002
FOTR J., DĚDINA J., HRŮZOVÁ H.: Manažerské rozhodování. Ekopress, Praha 2000
Requirements
see: https://ekonom.feld.cvut.cz/cs/student/predmety/optimalizacni-metody-a-rozhodovani
Optimization Methods - AD7B16OMR
| Credits | 5 |
| Semesters | Winter |
| Completion | Assessment + Examination |
| Language of teaching | Czech |
| Extent of teaching | 14+6s |
Annotation
Optimization models and their utilization in practice, principles of modelling and elements of decision models. Linear programming, integer programming. Distribution models. Introduction to theory of graphs and optimization tasks on graphs. Project management (CPM, PERTH, resources, costs) and its utilization in practice. Decision processes. Multiobjective decision making and its application in practice
Study targets
No data.
Course outlines
1.Introduction - models, modelling
2.Linear programming - assumptions, graphical solution, simplex method
3.Duality in linear programming
4.Integer linear models
5.Transportation and assignment problems
6.Graphs and optimization on graphs
7.Project management - project scheduling with CPM/PERTH
8.Scheduling and controlling of resources and project costs
9.Decision processes - classification, steps of decision process
10.Risk in decision processes
11.Multiobjective optimization - weights of criteria
12.Discrete multiobjective tasks
13.Multiobjective vector tasks
14.Principles of application of optimization models in practice
2.Linear programming - assumptions, graphical solution, simplex method
3.Duality in linear programming
4.Integer linear models
5.Transportation and assignment problems
6.Graphs and optimization on graphs
7.Project management - project scheduling with CPM/PERTH
8.Scheduling and controlling of resources and project costs
9.Decision processes - classification, steps of decision process
10.Risk in decision processes
11.Multiobjective optimization - weights of criteria
12.Discrete multiobjective tasks
13.Multiobjective vector tasks
14.Principles of application of optimization models in practice
Exercises outlines
1.Introduction, rules
2.Linear programming - task formulation, graphical solution
3.Linear programming - simplex method, SW support
4.Linear programming - duality
5.Integer linear programming
6.Transportation problem
7.Optimization on graphs
8.Project scheduling with CPM/PERTH
9.Scheduling and controlling of resources and project costs
10.Test, seminar work
11.Decision under risk and uncertainty
12.Discrete multiobjective tasks
13.Multiobjective vector tasks
14.Tuition to seminar work, assessment
2.Linear programming - task formulation, graphical solution
3.Linear programming - simplex method, SW support
4.Linear programming - duality
5.Integer linear programming
6.Transportation problem
7.Optimization on graphs
8.Project scheduling with CPM/PERTH
9.Scheduling and controlling of resources and project costs
10.Test, seminar work
11.Decision under risk and uncertainty
12.Discrete multiobjective tasks
13.Multiobjective vector tasks
14.Tuition to seminar work, assessment
Literature
DUDORKIN J.: Operační výzkum. Skriptum FEL ČVUT
DUDORKIN J.: Systémové inženýrství a rozhodování. Skriptum FEL ČVUT
JABLONSKÝ J.: Operační výzkum. Professional Publishing, Praha 2002
FOTR J., DĚDINA J., HRŮZOVÁ H.: Manažerské rozhodování. Ekopress, Praha 2000
DUDORKIN J.: Systémové inženýrství a rozhodování. Skriptum FEL ČVUT
JABLONSKÝ J.: Operační výzkum. Professional Publishing, Praha 2002
FOTR J., DĚDINA J., HRŮZOVÁ H.: Manažerské rozhodování. Ekopress, Praha 2000
Requirements
see: https://ekonom.feld.cvut.cz/cs/student/predmety/optimalizacni-metody-a-rozhodovani