Sequential designs for simulation experiments: nonlinear regression metamodeling

  • Authors:
  • M. Isabel Reis dos Santos;Pedro M. Reis dos Santos

  • Affiliations:
  • Technical University of Lisbon (IST), Lisboa, Portugal;Technical University of Lisbon (IST), Lisboa, Portugal

  • Venue:
  • MIC '07 Proceedings of the 26th IASTED International Conference on Modelling, Identification, and Control
  • Year:
  • 2007

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Abstract

In this paper we propose a method to select an experimental design for estimating nonlinear simulation metamodels. Through a careful selection of design points, the method provides better fitting results than equally spaced point selection, with the same simulation effort. This method accounts for the input/output function of the simulation model, possibly a mathematical function nonlinear in the parameters. In spite of the fact that the paper concentrates on nonlinear regression metamodels, the method may be applied to other type of metamodels. The procedure is easy to construct (so, it is attractive to be used in practice) and focus on simulations scenarios in sub-regions where the input/output behavior has more interest. This procedure is illustrated with an application to a automobile parts factory. Finally, we draw some conclusions.area.