**4.2 Vehicle GP optimization problem**

Now we can try to use the previously discussed approach for multiobjective shape optimization of the GP. The problem is stated as follows:

$$\min\_{\mathbf{x}} F(\mathbf{x}) = \left[ F\_1(\mathbf{x}), F\_2(\mathbf{x}), \dots, F\_k(\mathbf{x}) \right]^T \tag{8}$$

subject to *gj(x*) ≤ 0, *j* = 1, 2,…, *m*, and *hl(x)* = 0, *l* = 1, 2, …, *e*; where *k* is the number of objective functions *Fi*; *m* is the number of inequality constraints; *e* is the number of equality constraints;

*<sup>n</sup> x E* is a vector of *n* design variables.

First let us briefly discuss obtaining responses of GP for each particular objective.
