PAINT–SiCon: constructing consistent parametric representations of Pareto sets in nonconvex multiobjective optimization

Markus Hartikainen () and Alberto Lovison ()

Journal of Global Optimization, 2015, vol. 62, issue 2, 243-261

Abstract: We introduce a novel approximation method for multiobjective optimization problems called PAINT–SiCon. The method can construct consistent parametric representations of Pareto sets, especially for nonconvex problems, by interpolating between nondominated solutions of a given sampling both in the decision and objective space. The proposed method is especially advantageous in computationally expensive cases, since the parametric representation of the Pareto set can be used as an inexpensive surrogate for the original problem during the decision making process. Copyright Springer Science+Business Media New York 2015

Keywords: Multiple criteria programming; Nonlinear programming; Piecewise linear approximation (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s10898-014-0232-9

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