Uniform Mixture Designs using the Designs in 3-dimensional Spherical Region

Many product development activities involve mixture experiments. Mixture Experiments are widely used in many areas such as pharmaceutical, chemical, petrochemical industries. This paper proposes a method for obtaining the uniform mixture designs for s component mixtures based on designs in s-dimensional spherical region, which are obtained by using the 3-dimensional spherical region designs given by Talke and Borkowski (2016). The uniformity of the constructed design in spherical region is measured by distance-based approaches and for the mixture design DM2-discrepancy is used for measuring the uniformity..