Multi-Criteria Optimization

Multi-Criteria Optimization


Lecturer
Kim Allan Andersen

Contents
Multi-Criteria Optimization is the study of optimization problems in which one or more objective functions are to be optimized over a set of feasible (continuous, discrete or finite) solutions. In particular, the feasible set of solutions can be a polyhedral set, the set of integral points in a polyhedron, a non-linear set or a finite set of alternatives. The optimization problems considered include linear, integer linear and non-linear programming problems. In the course several methods which can be used to solve problems involving the optimization of one or more objective functions over some feasible set, will be considered. In particular, both interactive and non-interactive methods wil be discussed.

Qualifications
Convex analysis and Mathematical Programming.

Textbooks
Steuer, R.E.: Multiple Criteria Optimization: Theory, Computation, and Application, Wiley & Sons, 1986.
Furthermore, a few articles will be used.
It is possible to write a report, which may be accepted as a bachelor project. The report should be presented orally and will be assessed according to the 13-scale.

Evaluation
The basis for passing the course is active attendance at the lectures. Also, satisfactory answers to a number of assignments must be produced.

ECTS-credits
10.

Quarter
Autumn 2003.