Metamodeling of combined discrete/continuous responses

Martin Meckesheimer, Russell R. Barton, Timothy Simpson, Frej Limayen, Bernard Yannou

Research output: Contribution to journalArticlepeer-review

78 Scopus citations


Metamodels are effective for providing fast-running surrogate approximations of product or system performance. Because these approximations are generally based on continuous functions, they can provide poor fits of discontinuous response functions. Many engineering models produce functions that are only piecewise continuous, due to changes in modes of behavior or other state variables. The use of a state-selecting metamodeling approach that provides an accurate approximation for piecewise continuous responses is investigated. The proposed approach is applied to a desk lamp performance model. Three types of metamodels, quadratic polynomials, spatial correlation (kriging) models, and radial basis functions, and five types of experimental designs, full factorial designs, D-best Latin hypercube designs, fractional Latin hypercubes, Hammersley sampling sequences, and uniform designs, are compared based on three error metrics computed over the design space. The state-selecting metamodeling approach outperforms a combined metamodeling approach in this example, and radial basis functions perform well for metamodel construction.

Original languageEnglish (US)
Pages (from-to)1950-1959
Number of pages10
JournalAIAA journal
Issue number10
StatePublished - Oct 2001

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering


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