Efficient pareto frontier exploration using surrogate approximations

Benjamin Wilson, David J. Cappelleri, Timothy W. Simpson, Mary I. Frecker

Research output: Contribution to conferencePaper

6 Scopus citations

Abstract

In this paper we present an efficient and effective method of using surrogate approximations to explore the design space and capture the Pareto frontier during multiobjective optimization. The method employs design of experiments and metamodeling techniques (e.g., response surfaces and kriging models) to sample the design space, construct global approximations of the sample data, and quickly explore the design space to obtain the Pareto frontier without specifying weights for the objectives or using any optimization. To demonstrate the method, two mathematical example problems are presented. The results indicate that the proposed method is effective at capturing convex and concave Pareto frontiers even when discontinuities are present. After validating the method on the two mathematical examples, a design application involving the multiobjective optimization of a piezoelectric bimorph grasper is presented. The method facilitates the multiobjective decision making process, enabling us to find a compromise solution suitable for the given design requirements.

Original languageEnglish (US)
Publication statusPublished - Dec 1 2000
Event8th Symposium on Multidisciplinary Analysis and Optimization 2000 - Long Beach, CA, United States
Duration: Sep 6 2000Sep 8 2000

Other

Other8th Symposium on Multidisciplinary Analysis and Optimization 2000
CountryUnited States
CityLong Beach, CA
Period9/6/009/8/00

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All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Mechanical Engineering

Cite this

Wilson, B., Cappelleri, D. J., Simpson, T. W., & Frecker, M. I. (2000). Efficient pareto frontier exploration using surrogate approximations. Paper presented at 8th Symposium on Multidisciplinary Analysis and Optimization 2000, Long Beach, CA, United States.