A New Adaptive Algorithm for Convex Quadratic Multicriteria Optimization

Authors Jörg Fliege, Christoph Heermann, Bernd Weyers



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Author Details

Jörg Fliege
Christoph Heermann
Bernd Weyers

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Jörg Fliege, Christoph Heermann, and Bernd Weyers. A New Adaptive Algorithm for Convex Quadratic Multicriteria Optimization. In Practical Approaches to Multi-Objective Optimization. Dagstuhl Seminar Proceedings, Volume 4461, pp. 1-39, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005) https://doi.org/10.4230/DagSemProc.04461.3

Abstract

We present a new adaptive algorithm for convex quadratic multicriteria
optimization. The algorithm is able to adaptively refine the approximation
to the set of efficient points by way of a warm-start interior-point
scalarization approach. Numerical results show that this technique is
an order of magnitude faster than a standard method used for this problem.

Subject Classification

Keywords
  • Multicriteria optimization
  • warm-start methods
  • interior-point methods
  • primal-dual algorithms

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