A method for using legacy data for metamodel-based design of large-scale systems

Despite a steady increase in computing power, the complexity of engineering analyses seems to advance at the same rate. Traditional parametric design analysis is inadequate for the analysis of large-scale engineering systems because of its computational inefficiency; therefore, a departure from the traditional parametric design approach is required. In addition, the existence of legacy data for complex, large-scale systems is commonplace. Approximation techniques may be applied to build computationally inexpensive surrogate models for large-scale systems to replace expensive-to-run computer analysis codes or to develop a model for a set of nonuniform legacy data. Response-surface models are frequently utilized to construct surrogate approximations; however, they may be inefficient for systems having with a large number of design variables. Kriging, an alternative method for creating surrogate models, is applied in this work to construct approximations of legacy data for a large-scale system. Comparisons between response surfaces and kriging are made using the legacy data from the High Speed Civil Transport (HSCT) approximation challenge. Since the analysis points already exist, a modified design-of-experiments technique is needed to select the appropriate sample points. In this paper, a method to handle this problem is presented, and the results are compared against previous work.

[1]  Timothy W. Simpson,et al.  Evaluation of a Graphical Design Interface for Design Space Visualization , 2004 .

[2]  J. Renaud,et al.  Approximation in nonhierarchic system optimization , 1994 .

[3]  T Watson Layne,et al.  Multidisciplinary Optimization of a Supersonic Transport Using Design of Experiments Theory and Response Surface Modeling , 1997 .

[4]  Peter Fenyes,et al.  A New System for Multidisciplinary Analysis and Optimization of Vehicle Architectures , 2002 .

[5]  Farrokh Mistree,et al.  Kriging Models for Global Approximation in Simulation-Based Multidisciplinary Design Optimization , 2001 .

[6]  G. Matheron Principles of geostatistics , 1963 .

[7]  T. Simpson,et al.  Use of Kriging Models to Approximate Deterministic Computer Models , 2005 .

[8]  Timothy W. Simpson,et al.  Metamodels for Computer-based Engineering Design: Survey and recommendations , 2001, Engineering with Computers.

[9]  Farrokh Mistree,et al.  Statistical Approximations for Multidisciplinary Design Optimization: The Problem of Size , 1999 .

[10]  Thomas J. Santner,et al.  Design and analysis of computer experiments , 1998 .

[11]  T. W. Layne,et al.  A Comparison of Approximation Modeling Techniques: Polynomial Versus Interpolating Models , 1998 .

[12]  L. Watson,et al.  Trust Region Augmented Lagrangian Methods for Sequential Response Surface Approximation and Optimization , 1998 .

[13]  Timothy W. Simpson,et al.  On the Use of Kriging Models to Approximate Deterministic Computer Models , 2004, DAC 2004.

[14]  J. Renaud,et al.  Approximation in non-hierarchic system optimization , 1992 .

[15]  Cristina H. Amon,et al.  An engineering design methodology with multistage Bayesian surrogates and optimal sampling , 1996 .

[16]  Dimitri N. Mavris,et al.  THE PROBLEM OF SIZE IN ROBUST DESIGN , 1997 .

[17]  Peter J. Fleming,et al.  NASA High Speed Civil Transport approximation challenge - NASA/VPI&SU MAD Test Suite Problem 2.1 , 1998 .

[18]  Robert Haining,et al.  Statistics for spatial data: by Noel Cressie, 1991, John Wiley & Sons, New York, 900 p., ISBN 0-471-84336-9, US $89.95 , 1993 .

[19]  Farrokh Mistree,et al.  SPATIAL CORRELATION METAMODELS FOR GLOBAL APPROXIMATION IN STRUCTURAL DESIGN OPTIMIZATION , 1998 .

[20]  William L. Goffe,et al.  SIMANN: FORTRAN module to perform Global Optimization of Statistical Functions with Simulated Annealing , 1992 .

[21]  V. Markine,et al.  Refinements in the multi-point approximation method to reduce the effects of noisy structural responses , 1996 .

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

[23]  Douglas C. Montgomery,et al.  Response Surface Methodology: Process and Product Optimization Using Designed Experiments , 1995 .

[24]  Mike Rees,et al.  5. Statistics for Spatial Data , 1993 .

[25]  M. Neal,et al.  Issues in Industrial Multidisciplinary Optimization , 1998 .

[26]  Andrew Booker,et al.  Design and analysis of computer experiments , 1998 .

[27]  John E. Renaud,et al.  Concurrent Subspace Optimization Using Design Variable Sharing in a Distributed Computing Environment , 1996 .