gemseo.problems.multiobjective_optimization.fonseca_fleming module

Fonseca-Fleming bi-objective optimization problem.

See [FF95].

\[\begin{split}\begin{aligned} \text{minimize the objective function} & f_1(x) = 1 - exp(-\sum_{i=1}^{d}((x_i - 1 / sqrt(d)) ^ 2)) \\ & f_2(x) = 1 + exp(-\sum_{i=1}^{d}((x_i + 1 / sqrt(d)) ^ 2)) \\ \text{with respect to the design variables}&x\\ \text{subject to the bound constraints} & x\in[-4,4]^d \end{aligned}\end{split}\]

class FonsecaFleming(dimension=3)

Bases: OptimizationProblem

Fonseca-Fleming multi-objective, bound constrained optimization problem.

Parameters:

dimension (int) --

The design vector size.

By default it is set to 3.