Covering Pareto Sets by Multilevel Subdivision Techniques

M. Dellnitz, O. Schütze and T. Hestermeyer
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M. Dellnitz: University of Paderborn
O. Schütze: University of Paderborn
T. Hestermeyer: University of Paderborn

Journal of Optimization Theory and Applications, 2005, vol. 124, issue 1, No 6, 113-136

Abstract: Abstract In this work, we present a new set-oriented numerical method for the numerical solution of multiobjective optimization problems. These methods are global in nature and allow to approximate the entire set of (global) Pareto points. After proving convergence of an associated abstract subdivision procedure, we use this result as a basis for the development of three different algorithms. We consider also appropriate combinations of them in order to improve the total performance. Finally, we illustrate the efficiency of these techniques via academic examples plus a real technical application, namely, the optimization of an active suspension system for cars.

Keywords: Multiobjective optimization; Pareto sets; global optimization (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (11)

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DOI: 10.1007/s10957-004-6468-7

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