Design goal is to find the one that has the highest probability of success and the smallest variation. A robustness index has been proposed to satisfy these conditions. The two-step optimization process of the target problem requires a scaling factor. The search process of a scaling factor is replaced with the making of the decoupled design between the mean and the standard deviation. The decoupled design matrix is formed from the sensitivity or the sum of squares. After establishing the design matrix, the robust design process has a new three-step one. The first is "reduce variability," the second is "make the candidate designs that satisfy constraints and move the mean on the target," and the final is "select the best robust design using the proposed robustness index." The robust design process is verified by three examples and the results using the robustness index are compared with those of other indices.