Pseudo Response Surface (PRS) Methodology: Collapsing Computational Requirements
Achille Messac, Anoop A. Mullur · 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference · 2004
This paper explores a new metamodeling framework that potentially collapses the computational explosion that characterizes the modeling of complex systems under a multiobjective setting. Under the new framework, a pseudo response surface is constructed for each design objective. This pseudo response surface has the unique property of being highly accurate in Pareto optimal regions, while being intentionally inaccurate in all other regions. In short, the response surface for each design objective is accurate only where it matters. Because the pseudo response surface is not accurate in all regions of the design space, the computational cost to construct it is dramatically reduced. An important distinguishing feature of the new framework is that the response surfaces for all the design objectives are constructed simultaneously, in order to identify Pareto regions for the multiobjective problem. The new framework supports the puzzling notion that it is possible to obtain more accuracy and radically more design space exploration capability by actually reducing the computation effort. This counterintuitive metamodeling paradigm shift makes it possible to identify highly competitive products and systems that are well beyond today’s state of the art.