Analytical Design for Six Sigma for multiple response products

Here, we developed a step-by-step procedure of analytical Design for Six Sigma (DFSS) for conflicting multiple responses. Through a case study, the paper shows how analytical DFSS is able to provide engineers and managers with a scientific basis to make accountable decisions. The procedure basically starts with a development of analytical models of the system we deal with. Having developed the analytical models, the influence of design variables to the functional responses are then derived via graphical approach and Sobol's global sensitivity analysis. Multi-objective optimisation is finally applied to search for design variable settings that give Pareto-optimal and robust functional responses.