Optimization Methods
Code | Completion | Credits | Range | Language |
---|---|---|---|---|
A7B16OMR | Z,ZK | 5 | 2+2c | Czech |
- The course cannot be taken simultaneously with:
- Optimization Methods (Y16OMR)
- The course is a substitute for:
- Optimization Methods (Y16OMR)
- Lecturer:
- Jaroslav Šafránek, Jaroslav Knápek (gar.)
- Tutor:
- Jaroslav Šafránek, Martin Dobiáš
- Supervisor:
- Department of Economics, Management and Humanities
- Synopsis:
-
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
- Requirements:
- Syllabus of lectures:
-
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
- Syllabus of tutorials:
-
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
- Study Objective:
- Study materials:
-
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
- Note:
- Time-table for winter semester 2011/2012:
-
06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon Tue Fri Thu Fri - Time-table for summer semester 2011/2012:
- Time-table is not available yet
- The course is a part of the following study plans: