Optimization and Modeling

Lecturer:

Zuzana Bělinová (gar.), Olga Vraštilová (gar.)

Tutor:

Zuzana Bělinová (gar.), Olga Vraštilová (gar.)

Supervisor:

Department of Control and Telematics

Synopsis:

The concept of decision making. Linear and non-linear optimization, Structural, dynamic and stochastic programming. Definition of optimization task, problems arising within the bodies of economics and technology that results in the task of linear programming, classical transportation problem, geometric interpretation of the tasks of linear programming, simplex method, their concept and techniques. Complex decision making based on the metodologies of the theory of games, decision making in the situation of uncertainty and risk, basic methods of the multicriteral decision making.

Requirements:

Knowledge of algebra, theory of graphs and system analysis, fundamentals of mathematical analysis, mathematical logics and computer science on the level of bachelor study.

Syllabus of lectures:

Syllabus of tutorials:

Study Objective:

Efficient solution of optimization and decision-making tasks in technical and economical applications from the task formulation and technical implementation to a critical interpretation of results.

Study materials:

Dudorkin J. Systémová analýza a rozhodování, ČVUT 1995;Dudorkin J.: Operační výzkum, Praha, ČVUT, 1997; Luenberger D. G.: Introduction to linear and nonlinear programing, Addison - Wesley Publishng Company 1973, Polak E.: Computation methods in optimization , New York and London, Academic Press, 1971

Note:

Time-table for winter semester 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans:

• 2.bl.bak.prez.AI 09/10začátek (compulsory course)
• 2.bl.bak.prez.AI 05/06 začátek (compulsory course)
• 2.bl.bak.prez.AI 06/07 začátek (compulsory course)
• 2.bl.bak.prez.AI 07/08začátek (compulsory course)
• 2.bl.bak.prez.AI 08/09začátek (compulsory course)
• 2.bl.bak.prez.AI 10/11začátek (compulsory course)
• 2.bl.bak.prez.AI (compulsory course)