Response Surface Modelling

Abstract

Response surface modelling is introduced and its bond to design of experiments is discussed. Several RSM techniques are presented from a theoretical point of view throughout the chapter. Among the various techniques described the typical approximation by least squares method is found, as well as the different weighted-average interpolating methods such as Kriging, Gaussian processes, radial basis functions, neural networks. In the conclusions the aspects to be kept in mind when choosing the most suitable RSM are discussed. A few examples of DOE$+$RSM coupling are presented and discussed for a simple test case.

E ancora che la natura cominci dalla ragione e termini nella sperienzia, a noi bisogna seguitare il contrario, cioè cominciando dalla sperienzia, e con quella investigare la ragione.

Although nature commences with reason and ends in experience, it is necessary for us to do the opposite, that is to commence with experience, and from this to proceed to investigate the reason.

Leonardo da Vinci .