MoVars: Multidisciplinary Optimization Via Adaptive Response Surfaces
Andrew J. Booker, Evin J. Cramer, Paul D. Frank, Joerg M. Gablonsky, John E. Dennis · 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference · 2007
An emerging need in industry is to do simulation based designs with several hundred design variables. Our current approach, as implemented in Design Explorer, is not practical for problems of this size. This paper explains these limitations and presents a new approach that allows us to overcome them. Some of the issues associated with using these codes have been attacked, while others remain open. This paper addresses the issues that arise when the design problem has a large number of variables. We call our approach MoVars for \more or for Multidisciplinary Optimization Via Adaptive Response Surfaces. Often these simulations have long runtimes, do not compute derivatives, and are not suciently smooth to work well with standard gradient based methods. Many of the obstacles to using these codes have been over come with automation and using alternative optimization methods. SEQOPT, sequential modelling and optimization, 9 has been very eective. It is part of Design Explorer, a suite of tools for design space exploration and optimization. However when the number of variables gets large, more than 100, the solution process in SEQOPT becomes impractical for several reasons. These include Experiments The typical number of simulation runs suggested by Design Explorer for the initial experi- ments grows with the square of the number of variables, and becomes impractical even with today's and tomorrow's large scale computers. Building models Even if the simulations could be run the number of times needed to build a model, the cost of building a kriging model like the ones used in SEQOPT is prohibitive. Building a model involves solving a global optimization problem whose dimension is related to the number of variables and the number of sites in the experiment.