Covering Pareto Sets by Multilevel Subdivision Techniques

نویسندگان

  • Michael Dellnitz
  • Thorsten Hestermeyer
چکیده

In this work we present a new set oriented numerical method for the numerical solution of multi-objective 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 also consider appropriate combinations of them in order to increase the total performance. Finally we illustrate the efficiency of these techniques both by several academic examples and by one concrete technical application, namely the optimization of an active suspension system for cars.

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تاریخ انتشار 2003