Branch - and - Bound Search for Experimental Designs Based on D Optimality and Other Criteria

This article presents a branch-and-bound algorithm that constructs a catalog of all D-optimal n-point designs for specified design region, linear model, and number of observations, n. While the primary design criterion is D optimality, the algorithm may also be used to find designs performing well by other secondary criteria, if a small sacrifice in efficiency as measured by D optimality is accepted. Finally, some designs are supplied for a quadratic response surface model.