gemseo.problems.multiobjective_optimization.viennet module#
Viennet multi-objective problem.
See [VFM96].
\[\begin{split}\begin{aligned}
\text{minimize the objective function}
& f_1(x, y) = (x^2 + y^2) / 2 + sin(x^2 + y^2) \\
& f_2(x, y) = (3x - 2y + 4)^2 / 8 + (x - y + 1)^2 / 27 + 15 \\
& f_3(x, y) = 1 / (x^2 + y^2 + 1) - 1.1 e^{-(x^2 + y^2)} \\
\text{with respect to the design variables}&x,\,y \\
\text{subject to the bound constraints}
& -3.0 \leq x \leq 3.0\\
& -3.0 \leq y \leq 3.0
\end{aligned}\end{split}\]
- class Viennet(l_b=-3.0, u_b=3.0, initial_guess=(0, 0))[source]#
Bases:
OptimizationProblemThe Viennet optimization problem.
- Parameters: