A “Coordinate-Columnwise” Exchange Algorithm for the Construction of Supersaturated, Saturated and Non-Saturated Designs

We develop an exchange algorithm designed for linear models. We name it “” exchange algorithm because it works columnwise, that is factor by factor, and it modifies a limited number of coordinates of the considered column at each iteration. Among its advantages, we can cite the rapidity of the updating process and its ability to accommodate for supersaturated, saturated and non-saturated designs. The assessment of its efficiency is based on different criteria (-optimality, (), °, °) and is compared with most significant results provided in recent literature