Beam optimization: improving methodology

Different optimization techniques commonly used in biology and food technology allow a systematic and complete analysis of response functions. In spite of the great interest in medical and nuclear physics in the problem of optimizing mixed beams, little attention has been given to sophisticate mathematical tools. Indeed, many techniques are perfectly suited to the typical problem of beam optimization. This article is intended as a guide to the use of two methods, namely Response Surface Methodology and Simplex, that are expected to fasten the optimization process and, meanwhile give more insight into the relationships among the dependent variables controlling the response.