models module¶
Scalable problem - Models¶
Classes:
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The main discipline from the scalable problem introduced by Tedford and Martins (2010) takes the local design parameters \(x_1,x_2,\ldots,x_N\) and the global design parameters \(z\) as inputs, as well as the coupling variables \(y_1,y_2,\ldots,y_N\) and returns the objective function value \(f(x,y(x,y))\) to minimize as well as the inequality constraints ones \(c_1(y_1),c_2(y_2),\ldots,c_N(y_N)\) which are expressed as: |
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A sub-discipline from the scalable problem introduced by Tedford and Martins (2010) takes local design parameters \(x_i\) and shared design parameters \(z\) in input as well as coupling variables \(\left(y_i\right)_{1\leq j \leq N\atop j\neq i}\) from \(N-1\) elementary disciplines, and returns the coupling variables: |
- class gemseo.problems.scalable.parametric.core.models.TMMainModel(c_constraint, default_inputs)[source]¶
Bases:
object
The main discipline from the scalable problem introduced by Tedford and Martins (2010) takes the local design parameters \(x_1,x_2,\ldots,x_N\) and the global design parameters \(z\) as inputs, as well as the coupling variables \(y_1,y_2,\ldots,y_N\) and returns the objective function value \(f(x,y(x,y))\) to minimize as well as the inequality constraints ones \(c_1(y_1),c_2(y_2),\ldots,c_N(y_N)\) which are expressed as:
\[f(z,y) = |z|_2^2 + \sum_{i=1}^N |y_i|_2^2\]and:
\[c_i(y_i) = 1- C_i^{-T}Iy_i\]Constructor.
- Parameters
c_constraint (list(ndarray)) – constraint coefficients
default_inputs (dict(ndarray)) – default inputs
- class gemseo.problems.scalable.parametric.core.models.TMSubModel(index, c_shared, c_local, c_coupling, default_inputs)[source]¶
Bases:
object
A sub-discipline from the scalable problem introduced by Tedford and Martins (2010) takes local design parameters \(x_i\) and shared design parameters \(z\) in input as well as coupling variables \(\left(y_i\right)_{1\leq j \leq N\atop j\neq i}\) from \(N-1\) elementary disciplines, and returns the coupling variables:
\[y_i =\frac{\tilde{y}_i+C_{z,i}.1+C_{x_i}.1}{\sum_{j=1 \atop j \neq i}^NC_{y_j,i}.1+C_{z,i}.1+C_{x_i}.1} \in [0,1]^{n_{y_i}}\]where:
\[\tilde{y}_i = - C_{z,i}.z - C_{x_i}.x_i + \sum_{j=1 \atop j \neq i}^N C_{y_j,i}.y_j\]Constructor.
- Parameters
index (int) – discipline index for naming.
c_shared (ndarray) – weights for the shared design parameters.
c_local (ndarray) – weights for the local design parameters.
c_coupling (dict(ndarray)) – weights for the coupling parameters.
default_inputs (dict(ndarray)) – default inputs