Online convergence detection for multiobjective aerodynamic applications

  • Authors:
  • Boris Naujoks;Heike Trautmann

  • Affiliations:
  • Faculty of Computer Science, TU Dortmund University, Germany;Faculty of Statistics, TU Dortmund University, Germany

  • Venue:
  • CEC'09 Proceedings of the Eleventh conference on Congress on Evolutionary Computation
  • Year:
  • 2009

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Abstract

Industry applications of multiobjective optimization problems mostly are characterized by the demand for high quality solutions on the one hand. On the other hand an optimization result is desired which at any rate meets the time constraints for the evolutionary multiobjective algorithms (EMOA). The handling of this trade-off is a frequently discussed issue in multiobjective evolutionary optimization. Recently an online convergence detection algorithm (OCD) for EMOA based on statistical testing has been introduced. OCD is independent from any knowledge of the true Pareto front of the optimization problem. It automatically stops at the EMOA generation in which either only a very small variation or a trend stagnation of a set of multiobjective performance indicators are detected for a predefined number of generations. In the course of the paper, OCD is applied to two aerodynamic test cases provided by a global player of the aircraft industry. It is shown that OCD performs extremely well on these problems in terms of saved function evaluations and EMOA performance after the OCD stop generation.