The main problem of engineering is: how to increase the efficiency of
a process, of a construction, etc. To achieve this goal the designer
can choose several parameters (controls), assuming that certain
constrains are satisfied.
Mathematical formulation of the optimization problem deals with those
three objects: the goal function, the controls, the constrains. Methods
to effective search for an optimal values of controls are formed the
Optimization Theory.
The modern branches of
Optimization Theory include Optimal Control,
Structural Optimization,
etc.
We discuss and compare methods and algorithms of optimization.
The most suitable method depends on the type of the problem
considered: of the number of controls, smoothness of
constrains/goal function, etc. We try different methods in
different situations to experience in optimization techniques.
The ten weeks of classes will be roughly divided as following:
A research project `Optimization of a mechanical element'
will be suggested. Two report talks are to be given by each group of students
and a final report is to be submitted.
Prerequisites
M 251, M 252, M 353 or equivalents.
Grading policy:
The final grade is based on the home work asignments (70 %) and on the research project (30 %).