Metamodeling of Combined Discrete/Continuous Responses

Martin Meckesheimer (1) , Russell Barton (1) , Timothy Simpson (1) , Frej Limayem (2) , Bernard Yannou (2)

1 Penn State - Pennsylvania State University
2 LGI - Laboratoire Génie Industriel - EA 2606

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 Ž ts of discontinuous response functions. Many engineeringmodels produce functions that are only piecewise continuous, due to changes in modes of behavior or other state variables.Theuse 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 Ž ve 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.

Mots clés: Metamodeling; surrogate model; discrete-response; parametric engineering design; state-dependent output

Domaines: Mécanique [physics.med-ph]; Recherche opérationnelle [math.OC]

Martin Meckesheimer, Russell Barton, Timothy Simpson, Frej Limayem, Bernard Yannou. Metamodeling of Combined Discrete/Continuous Responses. AIAA Journal, 2001, 39 (10), pp.1950-1959. ⟨10.2514/2.1185⟩. ⟨hal-00748746⟩