An algorithm to generate near D-optimal designs for multiple response surface models

An algorithm is proposed to generate near D-optimal designs for multiple response surface models, i.e., a first-order or second-order polynomial model for each response with cuboidal design regions. For a class of designs generated by the proposed algorithm, simulation results indicate that the designs generated are near D-optimal and do not depend on Sigma. An example is given to demonstrate how multiresponse D-optimal designs can be used to provide benchmarks to other experimental designs for multiple response problems.