Uniform Mixture Design in Ellipsoidal Region for Unconstrained Mixture Experiments

The versatile ability, flexibility, and ease of adaptability of uniform mixture designs makes it useful in various fields such as industrial, pharmaceutical and chemical sciences. In product formulation and process optimization, mixture experiments have emerged as a very useful response surface approach. Different experimental regions provide designs with different space filling property. This paper attempts to obtain uniform mixture designs in ellipsoidal region. The method is illustrated for 3-, 4- and 5-dimensional ellipsoidal region. Designs for 3, 4 and 5 component mixtures are obtained by using the proposed transformation and the uniformly scattered designs are selected on the basis of DM2-discrepancy.. KEYWORDS :Mixture experiments, Uniform mixture design, Ellipsoidal region, DM2-discrepancy.