Optimization of the Complex-RFM optimization algorithm

This paper presents and compares different modifications made to the Complex-RF optimization algorithm with the aim of improving its performance for computationally expensive models with few variables. The modifications reduce the required number of objective function evaluations by creating and using surrogate models (SMs) of the objective function iteratively during the optimization process. The chosen SM type is a second order response surface. The performance of the modified algorithm is demonstrated for both analytical and engineering problems and compared with the performance of a number of existing algorithms. A meta-optimization of the algorithm is also performed to optimize its performance for arbitrary problems. To emphasize the fact that the modified algorithm uses metamodels it is denoted Complex-RFM.

[1]  Jean Charles Gilbert,et al.  Numerical Optimization: Theoretical and Practical Aspects , 2003 .

[2]  Patrick H. Reisenthel,et al.  A Numerical Experiment on Allocating Resources Between Design of Experiment Samples and Surrogate-Based Optimization Infills , 2011 .

[3]  Xiaoping Du,et al.  The use of metamodeling techniques for optimization under uncertainty , 2001 .

[4]  Tomas Jansson,et al.  Using the response surface methodology and the D-optimality criterion in crashworthiness related problems , 2002 .

[5]  Petter Krus,et al.  Optimizing Optimization for Design Optimization , 2003, DAC 2003.

[6]  John J. Grefenstette,et al.  Optimization of Control Parameters for Genetic Algorithms , 1986, IEEE Transactions on Systems, Man, and Cybernetics.

[7]  David E. Goldberg,et al.  Genetic algorithms and Machine Learning , 1988, Machine Learning.

[8]  Hong-Seok Park,et al.  Structural optimization based on CAD-CAE integration and metamodeling techniques , 2010, Comput. Aided Des..

[9]  Welch Bl THE GENERALIZATION OF ‘STUDENT'S’ PROBLEM WHEN SEVERAL DIFFERENT POPULATION VARLANCES ARE INVOLVED , 1947 .

[10]  M. J. Box A New Method of Constrained Optimization and a Comparison With Other Methods , 1965, Comput. J..

[11]  R. Duvigneau,et al.  META-MODELING FOR ROBUST DESIGN AND MULTI-LEVEL OPTIMIZATION , 2022 .

[12]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[13]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[14]  G. G. Wang,et al.  Metamodeling for High Dimensional Simulation-Based Design Problems , 2010 .

[15]  G. Gary Wang,et al.  Review of Metamodeling Techniques in Support of Engineering Design Optimization , 2007, DAC 2006.

[16]  Johan Andersson,et al.  Multiobjective optimization in engineering design : applications to fluid power systems , 2001 .

[17]  A. E. Eiben,et al.  Comparing parameter tuning methods for evolutionary algorithms , 2009, 2009 IEEE Congress on Evolutionary Computation.

[18]  Petter Krus,et al.  Performance index and meta-optimization of a direct search optimization method , 2013 .

[19]  T. Simpson,et al.  Comparative studies of metamodelling techniques under multiple modelling criteria , 2001 .

[20]  Stephen J. Wright,et al.  Numerical Optimization (Springer Series in Operations Research and Financial Engineering) , 2000 .

[21]  Andy J. Keane,et al.  Engineering Design via Surrogate Modelling - A Practical Guide , 2008 .

[22]  Douglas C. Montgomery,et al.  Comparing designs for computer simulation experiments , 2008, 2008 Winter Simulation Conference.

[23]  Xiaolong Feng,et al.  Multidisciplinary Design Optimization of Modular Industrial Robots , 2011, DAC 2011.

[24]  K. Yamazaki,et al.  Sequential Approximate Optimization using Radial Basis Function network for engineering optimization , 2011 .

[25]  Johan Andersson,et al.  Optimal design of the cross-angle for pulsation reduction in variable displacement pumps , 2002 .