Ideally, the number of experiments carried out, either with the finite element model (FEM) or using other approaches, during the application of RSM, should be as small as possible, in order to reduce data-processing requirements.Properly selecting the points to be used for www.intechopen.comAn Approach-Based on Response Surfaces Method and Ant Colony System for Multi-Objective Optimization: A Case Study 53 the simulation will allow a reduction of the variance of the coefficients of the mathematical model, which will in turn ensure that the response surfaces obtained are more reliable.To that end, we need to determine the experimental design to be adopted in order to obtain the most interesting simulation for this problem.The central composite design (CCD) was employed in the case of the second-order response surface, but other types of plans, such as the complete factorial design and the fractional factorial design, are also available for use.Once the mathematical models are obtained, we need to verify that they produce an adequate approximation of the actual study system.The statistic selection criterion is the coefficient of determination R², which must be as close as possible to 1 (0
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