Optimal designs for experiments with mixtures: A survey

This is a survey article on known results about analytic solutions and numerical solutions of optimal designs for various regression models for experiments with mixtures. The regression models include polynomial models, models containing homogeneous functions, models containing inverse terms and ratios, log contrast models, models with quantitative variables, anti models containing the amount of mixture. Optimality criteria considered include D-, A-, E-, Phi(p)- and I-lambda-optimalities. Uniform design and uniform optimal design for mixture components, and efficiencies of the {q, 2} simplex-centroid design are briefly discussed.