A Library of Multiobjective Functions with Corresponding Graphs

Mehnen, J.1, a

1)
Institut für Spanende Fertigung, Universität Dortmund, Baroper Str. 301, 44227 Dortmund

a) mehnen@isf.de

Kurzfassung

Knowing the structure of the Pareto-fronts and Pareto-sets of standard test functions can be very helpful in testing, analyzing and optimizing multiobjective optimization algorithms. This paper gives a graphical overview over 60 most commonly used and some more ‘exotic’ multiobjective test functions. Pareto-fonts, Pareto-sets as well as the mapping of equidistantly sampled points from the decision space into the objective space are shown. The functions are listed according to the original literature references. A short characterization of the fronts and solution sets is added.

Schlüsselwörter

Multiobjective Optimization, Multiobjective Test Functions, Graphs of Pareto-front and Pareto-Sets

Veröffentlichung

Reihe CI 213/06, SFB 531, Universität Dortmund, 2006

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