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On Continuation Methods for the Numerical Treatment of Multi-Objective Optimization Problems
In this report we describe how continuation methods can be used for the numerical treatment of multi-objective optimization problems (MOPs): starting with a given Karush-Kuhn-Tucker point (KKT-point) x of an MOP, these techniques can be applied to detect further KKT-points in the neighborhood of x. In the next step, again further points are computed starting with these new-found KKT-points, and so on. In order to maintain a good spread of these solutions we use boxes for the representation ofdoi:10.4230/dagsemproc.04461.16 fatcat:hadmqrteybf5nbjvawqxkdre5e