Simple disciplinary DOE example on the Sobieski SSBJ test case#

from __future__ import annotations

from gemseo import configure_logger
from gemseo import create_discipline
from gemseo import create_scenario
from gemseo.problems.mdo.sobieski.core.design_space import SobieskiDesignSpace

configure_logger()
<RootLogger root (INFO)>

Instantiate the discipline#

discipline = create_discipline("SobieskiMission")

Create the design space#

design_space = SobieskiDesignSpace()
design_space.filter(["y_24", "y_34"])
Sobieski design space:
Name Lower bound Value Upper bound Type
y_24 0.44 4.15006276 11.13 float
y_34 0.44 1.10754577 1.98 float


Create the scenario#

Build scenario which links the disciplines with the formulation and The DOE algorithm.

scenario = create_scenario(
    [discipline],
    "y_4",
    design_space,
    maximize_objective=True,
    scenario_type="DOE",
    formulation_name="DisciplinaryOpt",
)

Execute the scenario#

Here we use a latin hypercube sampling algorithm with 30 samples.

scenario.execute(algo_name="PYDOE_LHS", n_samples=30)
INFO - 20:38:57: *** Start DOEScenario execution ***
INFO - 20:38:57: DOEScenario
INFO - 20:38:57:    Disciplines: SobieskiMission
INFO - 20:38:57:    MDO formulation: DisciplinaryOpt
INFO - 20:38:57: Optimization problem:
INFO - 20:38:57:    minimize -y_4(y_24, y_34)
INFO - 20:38:57:    with respect to y_24, y_34
INFO - 20:38:57:    over the design space:
INFO - 20:38:57:       +------+-------------+------------+-------------+-------+
INFO - 20:38:57:       | Name | Lower bound |   Value    | Upper bound | Type  |
INFO - 20:38:57:       +------+-------------+------------+-------------+-------+
INFO - 20:38:57:       | y_24 |     0.44    | 4.15006276 |    11.13    | float |
INFO - 20:38:57:       | y_34 |     0.44    | 1.10754577 |     1.98    | float |
INFO - 20:38:57:       +------+-------------+------------+-------------+-------+
INFO - 20:38:57: Solving optimization problem with algorithm PYDOE_LHS:
INFO - 20:38:57:      3%|▎         | 1/30 [00:00<00:00, 374.49 it/sec, obj=-1.53e+3]
INFO - 20:38:57:      7%|▋         | 2/30 [00:00<00:00, 666.98 it/sec, obj=-1.66e+3]
INFO - 20:38:57:     10%|█         | 3/30 [00:00<00:00, 916.92 it/sec, obj=-832]
INFO - 20:38:57:     13%|█▎        | 4/30 [00:00<00:00, 1138.44 it/sec, obj=-1.62e+3]
INFO - 20:38:57:     17%|█▋        | 5/30 [00:00<00:00, 1337.38 it/sec, obj=-994]
INFO - 20:38:57:     20%|██        | 6/30 [00:00<00:00, 1515.37 it/sec, obj=-601]
INFO - 20:38:57:     23%|██▎       | 7/30 [00:00<00:00, 1678.39 it/sec, obj=-180]
INFO - 20:38:57:     27%|██▋       | 8/30 [00:00<00:00, 1817.19 it/sec, obj=-755]
INFO - 20:38:57:     30%|███       | 9/30 [00:00<00:00, 1952.25 it/sec, obj=-691]
INFO - 20:38:57:     33%|███▎      | 10/30 [00:00<00:00, 2064.53 it/sec, obj=-393]
INFO - 20:38:57:     37%|███▋      | 11/30 [00:00<00:00, 2169.74 it/sec, obj=-362]
INFO - 20:38:57:     40%|████      | 12/30 [00:00<00:00, 2263.83 it/sec, obj=-748]
INFO - 20:38:57:     43%|████▎     | 13/30 [00:00<00:00, 2357.37 it/sec, obj=-719]
INFO - 20:38:57:     47%|████▋     | 14/30 [00:00<00:00, 2446.68 it/sec, obj=-293]
INFO - 20:38:57:     50%|█████     | 15/30 [00:00<00:00, 2529.53 it/sec, obj=-931]
INFO - 20:38:57:     53%|█████▎    | 16/30 [00:00<00:00, 2606.07 it/sec, obj=-264]
INFO - 20:38:57:     57%|█████▋    | 17/30 [00:00<00:00, 2663.35 it/sec, obj=-1.17e+3]
INFO - 20:38:57:     60%|██████    | 18/30 [00:00<00:00, 2729.09 it/sec, obj=-495]
INFO - 20:38:57:     63%|██████▎   | 19/30 [00:00<00:00, 2785.84 it/sec, obj=-189]
INFO - 20:38:57:     67%|██████▋   | 20/30 [00:00<00:00, 2848.42 it/sec, obj=-2.23e+3]
INFO - 20:38:57:     70%|███████   | 21/30 [00:00<00:00, 2897.29 it/sec, obj=-344]
INFO - 20:38:57:     73%|███████▎  | 22/30 [00:00<00:00, 2946.10 it/sec, obj=-799]
INFO - 20:38:57:     77%|███████▋  | 23/30 [00:00<00:00, 2996.86 it/sec, obj=-55.9]
INFO - 20:38:57:     80%|████████  | 24/30 [00:00<00:00, 3047.54 it/sec, obj=-123]
INFO - 20:38:57:     83%|████████▎ | 25/30 [00:00<00:00, 3097.26 it/sec, obj=-875]
INFO - 20:38:57:     87%|████████▋ | 26/30 [00:00<00:00, 3135.39 it/sec, obj=-726]
INFO - 20:38:57:     90%|█████████ | 27/30 [00:00<00:00, 3178.39 it/sec, obj=-69.6]
INFO - 20:38:57:     93%|█████████▎| 28/30 [00:00<00:00, 3220.37 it/sec, obj=-1.51e+3]
INFO - 20:38:57:     97%|█████████▋| 29/30 [00:00<00:00, 3259.15 it/sec, obj=-1.15e+3]
INFO - 20:38:57:    100%|██████████| 30/30 [00:00<00:00, 3296.46 it/sec, obj=-2.73e+3]
INFO - 20:38:57: Optimization result:
INFO - 20:38:57:    Optimizer info:
INFO - 20:38:57:       Status: None
INFO - 20:38:57:       Message: None
INFO - 20:38:57:       Number of calls to the objective function by the optimizer: 0
INFO - 20:38:57:    Solution:
INFO - 20:38:57:       Objective: -2726.3660548732214
INFO - 20:38:57:       Design space:
INFO - 20:38:57:          +------+-------------+--------------------+-------------+-------+
INFO - 20:38:57:          | Name | Lower bound |       Value        | Upper bound | Type  |
INFO - 20:38:57:          +------+-------------+--------------------+-------------+-------+
INFO - 20:38:57:          | y_24 |     0.44    | 9.094543945649603  |    11.13    | float |
INFO - 20:38:57:          | y_34 |     0.44    | 0.4769766573300308 |     1.98    | float |
INFO - 20:38:57:          +------+-------------+--------------------+-------------+-------+
INFO - 20:38:57: *** End DOEScenario execution (time: 0:00:00.011560) ***

Note that both the formulation settings passed to func:.create_scenario and the algorithm settings passed to execute() can be provided via a Pydantic model. For more information, see Formulation Settings and Algorithm Settings.

Plot optimization history view#

scenario.post_process(post_name="OptHistoryView", save=False, show=True)
  • Evolution of the optimization variables
  • Evolution of the objective value
  • Evolution of the distance to the optimum
<gemseo.post.opt_history_view.OptHistoryView object at 0x785917d774a0>

Note that post-processor settings passed to BaseScenario.post_process() can be provided via a Pydantic model (see the example below). For more information, see Post-processor Settings.

Plot scatter plot matrix#

from gemseo.settings.post import ScatterPlotMatrix_Settings  # noqa: E402

settings_model = ScatterPlotMatrix_Settings(
    variable_names=["y_4", "y_24", "y_34"],
    save=False,
    show=True,
)

scenario.post_process(settings_model)
plot sobieski doe disc example
<gemseo.post.scatter_plot_matrix.ScatterPlotMatrix object at 0x78592d42e180>

Total running time of the script: (0 minutes 0.622 seconds)

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