Designs for Computer Experiments

A computer experiment generates observations by running a computer model at inputs x and recording the output (response) Y. Prediction of the response Y to an untried input is treated by modeling the systematic departure of Y from a linear model as a realization of a stochastic process. For given data (selected inputs and the computed responses), best linear prediction is used. The design problem is to select the inputs to predict efficiently. The issues of choice of stochastic-process model and computation of efficient designs are addressed, and applications are made to some chemical kinetics problems.

[1]  Madhav S. Phadke.  Design optimization case studies , 1986, AT&T Technical Journal.

[2]  Jerome Sacks,et al.  Some Model Robust Designs in Regression , 1984 .

[3]  G. Box,et al.  THE CHOICE OF A SECOND ORDER ROTATABLE DESIGN , 1963 .

[4]  Sidney Addelman,et al.  trans-Dimethanolbis(1,1,1-trifluoro-5,5-dimethylhexane-2,4-dionato)zinc(II) , 2008, Acta crystallographica. Section E, Structure reports online.

[5]  J. S. Hunter,et al.  Multi-Factor Experimental Designs for Exploring Response Surfaces , 1957 .

[6]  W. Welch.  A mean squared error criterion for the design of experiments , 1983 .

[7]  M. Stein.  Large sample properties of simulations using latin hypercube sampling , 1987 .

[8]  N. Cressie.  Kriging Nonstationary Data , 1986 .

[9]  Michael Frenklach,et al.  SENSITIVITY ANALYSIS AND PARAMETER ESTIMATION IN DYNAMIC MODELING OF CHEMICAL KINETICS , 1983 .

[10]  Jerome Sacks,et al.  Computer Experiments for Quality Control by Parameter Design , 1990 .

[11]  P. Diaconis.  Bayesian Numerical Analysis , 1988 .

[12]  C. Currin,et al.  A Bayesian Approach to the Design and Analysis of Computer Experiments , 1988 .

[13]  J. Sacks,et al.  Designs for Regression Problems with Correlated Errors III , 1966 .

[14]  T. J. Mitchell,et al.  Existence of smoothed stationary processes on an interval , 1990 .

[15]  Henry P. Wynn,et al.  Maximum entropy sampling , 1987 .

[16]  Ronald L. Iman,et al.  Risk methodology for geologic disposal of radioactive waste: small sample sensitivity analysis techniques for computer models, with an application to risk assessment , 1980 .

[17]  Donald Ylvisaker,et al.  Prediction and Design , 1987 .

[18]  Averill M. Law,et al.  Simulation Modeling and Analysis , 1982 .

[19]  G. Box,et al.  A Basis for the Selection of a Response Surface Design , 1959 .