Source code for gemseo.problems.sellar.sellar_design_space

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# Contributors:
#    INITIAL AUTHORS - API and implementation and/or documentation
#        :author: Charlie Vanaret
#    OTHER AUTHORS   - MACROSCOPIC CHANGES
"""The design space for the MDO problem proposed by Sellar et al. in.

Sellar, R., Batill, S., & Renaud, J. (1996). Response surface based, concurrent subspace
optimization for multidisciplinary system design. In 34th aerospace sciences meeting and
exhibit (p. 714).
"""
from __future__ import annotations

from numpy import array
from numpy import ndarray

from gemseo.algos.design_space import DesignSpace
from gemseo.problems.sellar.sellar import X_LOCAL
from gemseo.problems.sellar.sellar import X_SHARED
from gemseo.problems.sellar.sellar import Y_1
from gemseo.problems.sellar.sellar import Y_2


[docs]class SellarDesignSpace(DesignSpace): """The design space for the MDO problem proposed by Sellar et al (1996). It is composed of: - :math:`x_{local}` belonging to :math:`[0., 10.]`, - :math:`x_{shared,1}` belonging to :math:`[-10., 10.]`, - :math:`x_{shared,2}` belonging to :math:`[0., 10.]`, - :math:`y_1` belonging to :math:`[-100., 100.]`, - :math:`y_2` belonging to :math:`[-100., 100.]`. This design space is initialized with the initial solution: - :math:`x_{local}=1`, - :math:`x_{shared,1}=4`, - :math:`x_{shared,2}=3`, - :math:`y_1=1`, - :math:`y_2=1`. """ def __init__( self, dtype: str = "complex128", ) -> None: """ Args: dtype: The type of the variables defined in the design space. """ super().__init__() x_local, x_shared, y_1, y_2 = self.__get_initial_solution(dtype) self.add_variable(X_LOCAL, l_b=0.0, u_b=10.0, value=x_local) self.add_variable(X_SHARED, 2, l_b=(-10, 0.0), u_b=(10.0, 10.0), value=x_shared) self.add_variable(Y_1, l_b=-100.0, u_b=100.0, value=y_1) self.add_variable(Y_2, l_b=-100.0, u_b=100.0, value=y_2) @staticmethod def __get_initial_solution( dtype: str, ) -> tuple[ndarray]: """Return an initial solution for the MDO problem. Args: dtype: The type of the variables defined in the design space. Returns: An initial solution for both local design variables, shared design variables and coupling variables. """ x_local = array([1.0], dtype=dtype) x_shared = array([4.0, 3.0], dtype=dtype) y_1 = array([1.0], dtype=dtype) y_2 = array([1.0], dtype=dtype) return x_local, x_shared, y_1, y_2