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A. J. Booker, J. E. Dennis, P. D. Frank, D. B. Serafini, V. Torczon and M. W. Trosset, “A Rigorous Framework for Optimization of Expensive Functions by Surrogates,” Structural and Multidisciplinary Optimization, Vol. 17, No. 1, 1999, pp. 1-13.

has been cited by the following article:

• TITLE: Variable Fidelity Surrogate Assisted Optimization Using A Suite of Low Fidelity Solvers

  AUTHORS: Mohammad Kashif Zahir, Zhenghong Gao

  KEYWORDS: Variable Fidelity; Airfoil Optimization; Surrogate Models

  JOURNAL NAME: Open Journal of Optimization, Vol.1 No.1, September 18, 2012

  ABSTRACT: Variable-fidelity optimization (VFO) has emerged as an attractive method of performing, both, high-speed and high-fidelity optimization. VFO uses computationally inexpensive low-fidelity models, complemented by a surrogate to account for the difference between the high-and low-fidelity models, to obtain the optimum of the function efficiently and accurately. To be effective, however, it is of prime importance that the low fidelity model be selected prudently. This paper outlines the requirements for selecting the low fidelity model and shows pitfalls in case the wrong model is chosen. It then presents an efficient VFO framework and demonstrates it by performing transonic airfoil drag optimization at constant lift, subject to thickness constraints, using several low fidelity solvers. The method is found to be efficient and capable of finding the optimum that closely agrees with the results of high-fidelity optimization alone.