Introduction to Multiobjective Optimization: Noninteractive Approaches

Authors:
Kaisa Miettinen
Affiliations:
Department of Mathematical Information Technology, University of Jyväskylä, Finland FI-40014
Venue:
Multiobjective Optimization
Year:
2008

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Abstract

We give an introduction to nonlinear multiobjective optimization by covering some basic concepts as well as outlines of some methods. Because Pareto optimal solutions cannot be ordered completely, we need extra preference information coming from a decision maker to be able to select the most preferred solution for a problem involving multiple conflicting objectives. Multiobjective optimization methods are often classified according to the role of a decision maker in the solution process. In this chapter, we concentrate on noninteractive methods where the decision maker either is not involved or specifies preference information before or after the actual solution process. In other words, the decision maker is not assumed to devote too much time in the solution process.