MDO formulations for a toy example in aerostructure

from __future__ import annotations

from gemseo import configure_logger
from gemseo import create_discipline
from gemseo import create_scenario
from gemseo import generate_n2_plot
from gemseo.problems.aerostructure.aerostructure_design_space import (
    AerostructureDesignSpace,
)

configure_logger()


algo_options = {
    "xtol_rel": 1e-8,
    "xtol_abs": 1e-8,
    "ftol_rel": 1e-8,
    "ftol_abs": 1e-8,
    "ineq_tolerance": 1e-5,
    "eq_tolerance": 1e-3,
}

Create discipline

First, we create disciplines (aero, structure, mission) with dummy formulas using the AnalyticDiscipline class.

aero_formulas = {
    "drag": "0.1*((sweep/360)**2 + 200 + thick_airfoils**2-thick_airfoils -4*displ)",
    "forces": "10*sweep + 0.2*thick_airfoils-0.2*displ",
    "lift": "(sweep + 0.2*thick_airfoils-2.*displ)/3000.",
}
aerodynamics = create_discipline(
    "AnalyticDiscipline", name="Aerodynamics", expressions=aero_formulas
)
struc_formulas = {
    "mass": "4000*(sweep/360)**3 + 200000 + 100*thick_panels +200.0*forces",
    "reserve_fact": "-3*sweep -6*thick_panels+0.1*forces+55",
    "displ": "2*sweep + 3*thick_panels-2.*forces",
}
structure = create_discipline(
    "AnalyticDiscipline", name="Structure", expressions=struc_formulas
)
mission_formulas = {"range": "8e11*lift/(mass*drag)"}
mission = create_discipline(
    "AnalyticDiscipline", name="Mission", expressions=mission_formulas
)

disciplines = [aerodynamics, structure, mission]

We can see that structure and aerodynamics are strongly coupled:

generate_n2_plot(disciplines, save=False, show=True)
plot aerostructure

Create an MDO scenario with MDF formulation

Then, we create an MDO scenario based on the MDF formulation

design_space = AerostructureDesignSpace()
scenario = create_scenario(
    disciplines,
    "MDF",
    "range",
    design_space,
    maximize_objective=True,
)
scenario.add_constraint("reserve_fact", constraint_type="ineq", value=0.5)
scenario.add_constraint("lift", value=0.5)
scenario.execute({"algo": "NLOPT_SLSQP", "max_iter": 10, "algo_options": algo_options})
scenario.post_process("OptHistoryView", save=False, show=True)
  • Evolution of the optimization variables
  • Evolution of the objective value
  • Distance to the optimum
  • Hessian diagonal approximation
  • Evolution of the inequality constraints
  • Evolution of the equality constraints
/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/5.3.2/lib/python3.9/site-packages/gemseo/algos/design_space.py:468: ComplexWarning: Casting complex values to real discards the imaginary part
  self.__current_value[name] = array_value.astype(
    INFO - 13:08:36: Variable reserve_fact was removed from the Design Space, it is not an input of any discipline.
    INFO - 13:08:36:
    INFO - 13:08:36: *** Start MDOScenario execution ***
    INFO - 13:08:36: MDOScenario
    INFO - 13:08:36:    Disciplines: Aerodynamics Mission Structure
    INFO - 13:08:36:    MDO formulation: MDF
    INFO - 13:08:36: Optimization problem:
    INFO - 13:08:36:    minimize -range(thick_airfoils, thick_panels, sweep)
    INFO - 13:08:36:    with respect to sweep, thick_airfoils, thick_panels
    INFO - 13:08:36:    subject to constraints:
    INFO - 13:08:36:       reserve_fact(thick_airfoils, thick_panels, sweep) <= 0.5
    INFO - 13:08:36:       lift(thick_airfoils, thick_panels, sweep) == 0.5
    INFO - 13:08:36:    over the design space:
    INFO - 13:08:36:       +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:36:       | Name           | Lower bound | Value | Upper bound | Type  |
    INFO - 13:08:36:       +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:36:       | thick_airfoils |      5      |   15  |      25     | float |
    INFO - 13:08:36:       | thick_panels   |      1      |   3   |      20     | float |
    INFO - 13:08:36:       | sweep          |      10     |   25  |      35     | float |
    INFO - 13:08:36:       +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:36: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 13:08:36:     10%|█         | 1/10 [00:00<00:00, 28.42 it/sec, obj=-4.25e+3]
    INFO - 13:08:36:     20%|██        | 2/10 [00:00<00:00, 10.80 it/sec, obj=-4.51e+3]
    INFO - 13:08:36:     30%|███       | 3/10 [00:00<00:00, 12.57 it/sec, obj=-4.51e+3]
    INFO - 13:08:36:     40%|████      | 4/10 [00:00<00:00, 16.68 it/sec, obj=Not evaluated]
    INFO - 13:08:36: Optimization result:
    INFO - 13:08:36:    Optimizer info:
    INFO - 13:08:36:       Status: None
    INFO - 13:08:36:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
    INFO - 13:08:36:       Number of calls to the objective function by the optimizer: 4
    INFO - 13:08:36:    Solution:
    INFO - 13:08:36:       The solution is feasible.
    INFO - 13:08:36:       Objective: -4509.505446993421
    INFO - 13:08:36:       Standardized constraints:
    INFO - 13:08:36:          [lift-0.5] = 8.926193117986259e-14
    INFO - 13:08:36:          [reserve_fact-0.5] = 6.522076034798374e-08
    INFO - 13:08:36:       Design space:
    INFO - 13:08:36:          +----------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:36:          | Name           | Lower bound |       Value       | Upper bound | Type  |
    INFO - 13:08:36:          +----------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:36:          | thick_airfoils |      5      |         5         |      25     | float |
    INFO - 13:08:36:          | thick_panels   |      1      |  3.22558921528402 |      20     | float |
    INFO - 13:08:36:          | sweep          |      10     | 24.99326599158099 |      35     | float |
    INFO - 13:08:36:          +----------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:36: *** End MDOScenario execution (time: 0:00:00.257893) ***

<gemseo.post.opt_history_view.OptHistoryView object at 0x7f8ba32ff940>

Create an MDO scenario with bilevel formulation

Then, we create an MDO scenario based on the bilevel formulation

sub_scenario_options = {
    "max_iter": 5,
    "algo": "NLOPT_SLSQP",
    "algo_options": algo_options,
}
design_space_ref = AerostructureDesignSpace()
/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/5.3.2/lib/python3.9/site-packages/gemseo/algos/design_space.py:468: ComplexWarning: Casting complex values to real discards the imaginary part
  self.__current_value[name] = array_value.astype(

Create the aeronautics sub-scenario

For this purpose, we create a first sub-scenario to maximize the range with respect to the thick airfoils, based on the aerodynamics discipline.

aero_scenario = create_scenario(
    [aerodynamics, mission],
    "DisciplinaryOpt",
    "range",
    design_space_ref.filter(["thick_airfoils"], copy=True),
    maximize_objective=True,
)
aero_scenario.default_inputs = sub_scenario_options

Create the structure sub-scenario

We create a second sub-scenario to maximize the range with respect to the thick panels, based on the structure discipline.

struct_scenario = create_scenario(
    [structure, mission],
    "DisciplinaryOpt",
    "range",
    design_space_ref.filter(["thick_panels"], copy=True),
    maximize_objective=True,
)
struct_scenario.default_inputs = sub_scenario_options

Create the system scenario

Lastly, we build a system scenario to maximize the range with respect to the sweep, which is a shared variable, based on the previous sub-scenarios.

design_space_system = design_space_ref.filter(["sweep"], copy=True)
system_scenario = create_scenario(
    [aero_scenario, struct_scenario, mission],
    "BiLevel",
    "range",
    design_space_system,
    maximize_objective=True,
    inner_mda_name="MDAJacobi",
    tolerance=1e-8,
)
system_scenario.add_constraint("reserve_fact", constraint_type="ineq", value=0.5)
system_scenario.add_constraint("lift", value=0.5)
system_scenario.execute({
    "algo": "NLOPT_COBYLA",
    "max_iter": 7,
    "algo_options": algo_options,
})
system_scenario.post_process("OptHistoryView", save=False, show=True)
  • Evolution of the optimization variables
  • Evolution of the objective value
  • Distance to the optimum
  • Evolution of the inequality constraints
  • Evolution of the equality constraints
    INFO - 13:08:37:
    INFO - 13:08:37: *** Start MDOScenario execution ***
    INFO - 13:08:37: MDOScenario
    INFO - 13:08:37:    Disciplines: MDOScenario MDOScenario Mission
    INFO - 13:08:37:    MDO formulation: BiLevel
    INFO - 13:08:37: Optimization problem:
    INFO - 13:08:37:    minimize -range(sweep)
    INFO - 13:08:37:    with respect to sweep
    INFO - 13:08:37:    subject to constraints:
    INFO - 13:08:37:       reserve_fact(sweep) <= 0.5
    INFO - 13:08:37:       lift(sweep) == 0.5
    INFO - 13:08:37:    over the design space:
    INFO - 13:08:37:       +-------+-------------+-------+-------------+-------+
    INFO - 13:08:37:       | Name  | Lower bound | Value | Upper bound | Type  |
    INFO - 13:08:37:       +-------+-------------+-------+-------------+-------+
    INFO - 13:08:37:       | sweep |      10     |   25  |      35     | float |
    INFO - 13:08:37:       +-------+-------------+-------+-------------+-------+
    INFO - 13:08:37: Solving optimization problem with algorithm NLOPT_COBYLA:
    INFO - 13:08:37:
    INFO - 13:08:37: *** Start MDOScenario execution ***
    INFO - 13:08:37: MDOScenario
    INFO - 13:08:37:    Disciplines: Aerodynamics Mission
    INFO - 13:08:37:    MDO formulation: DisciplinaryOpt
    INFO - 13:08:37: Optimization problem:
    INFO - 13:08:37:    minimize -range(thick_airfoils)
    INFO - 13:08:37:    with respect to thick_airfoils
    INFO - 13:08:37:    subject to constraints:
    INFO - 13:08:37:       lift(thick_airfoils) == 0.5
    INFO - 13:08:37:    over the design space:
    INFO - 13:08:37:       +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37:       | Name           | Lower bound | Value | Upper bound | Type  |
    INFO - 13:08:37:       +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37:       | thick_airfoils |      5      |   15  |      25     | float |
    INFO - 13:08:37:       +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 13:08:37:     20%|██        | 1/5 [00:00<00:00, 139.15 it/sec, obj=-4.27e+3]
 WARNING - 13:08:37: Optimization found no feasible point !  The least infeasible point is selected.
    INFO - 13:08:37:     40%|████      | 2/5 [00:00<00:00, 142.77 it/sec, obj=-4.51e+3]
    INFO - 13:08:37: Optimization result:
    INFO - 13:08:37:    Optimizer info:
    INFO - 13:08:37:       Status: 5
    INFO - 13:08:37:       Message: NLOPT_MAXEVAL_REACHED: Optimization stopped because maxeval (above) was reached
    INFO - 13:08:37:       Number of calls to the objective function by the optimizer: 8
    INFO - 13:08:37:    Solution:
 WARNING - 13:08:37:       The solution is not feasible.
    INFO - 13:08:37:       Objective: -4513.429203824652
    INFO - 13:08:37:       Standardized constraints:
    INFO - 13:08:37:          [lift-0.5] = 0.008666666666666822
    INFO - 13:08:37:       Design space:
    INFO - 13:08:37:          +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37:          | Name           | Lower bound | Value | Upper bound | Type  |
    INFO - 13:08:37:          +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37:          | thick_airfoils |      5      |   5   |      25     | float |
    INFO - 13:08:37:          +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37: *** End MDOScenario execution (time: 0:00:00.029985) ***
    INFO - 13:08:37:
    INFO - 13:08:37: *** Start MDOScenario execution ***
    INFO - 13:08:37: MDOScenario
    INFO - 13:08:37:    Disciplines: Mission Structure
    INFO - 13:08:37:    MDO formulation: DisciplinaryOpt
    INFO - 13:08:37: Optimization problem:
    INFO - 13:08:37:    minimize -range(thick_panels)
    INFO - 13:08:37:    with respect to thick_panels
    INFO - 13:08:37:    subject to constraints:
    INFO - 13:08:37:       reserve_fact(thick_panels) <= 0.5
    INFO - 13:08:37:    over the design space:
    INFO - 13:08:37:       +--------------+-------------+-------+-------------+-------+
    INFO - 13:08:37:       | Name         | Lower bound | Value | Upper bound | Type  |
    INFO - 13:08:37:       +--------------+-------------+-------+-------------+-------+
    INFO - 13:08:37:       | thick_panels |      1      |   3   |      20     | float |
    INFO - 13:08:37:       +--------------+-------------+-------+-------------+-------+
    INFO - 13:08:37: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 13:08:37:     20%|██        | 1/5 [00:00<00:00, 158.05 it/sec, obj=-4.51e+3]
   ERROR - 13:08:37: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
Traceback (most recent call last):
  File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/5.3.2/lib/python3.9/site-packages/gemseo/algos/opt/lib_nlopt.py", line 498, in _run
    nlopt_problem.optimize(x_0.real)
  File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/5.3.2/lib/python3.9/site-packages/nlopt/nlopt.py", line 335, in optimize
    return _nlopt.opt_optimize(self, *args)
nlopt.RoundoffLimited: NLopt roundoff-limited
    INFO - 13:08:37:     40%|████      | 2/5 [00:00<00:00, 154.39 it/sec, obj=-4.5e+3]
    INFO - 13:08:37: Optimization result:
    INFO - 13:08:37:    Optimizer info:
    INFO - 13:08:37:       Status: None
    INFO - 13:08:37:       Message:  GEMSEO Stopped the driver
    INFO - 13:08:37:       Number of calls to the objective function by the optimizer: 3
    INFO - 13:08:37:    Solution:
    INFO - 13:08:37:       The solution is feasible.
    INFO - 13:08:37:       Objective: -4504.955637332531
    INFO - 13:08:37:       Standardized constraints:
    INFO - 13:08:37:          [reserve_fact-0.5] = 1.062133492268913e-09
    INFO - 13:08:37:       Design space:
    INFO - 13:08:37:          +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37:          | Name         | Lower bound |       Value       | Upper bound | Type  |
    INFO - 13:08:37:          +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37:          | thick_panels |      1      | 3.266666666489645 |      20     | float |
    INFO - 13:08:37:          +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37: *** End MDOScenario execution (time: 0:00:00.029192) ***
    INFO - 13:08:37:     14%|█▍        | 1/7 [00:00<00:00,  7.85 it/sec, obj=-4.51e+3]
    INFO - 13:08:37:
    INFO - 13:08:37: *** Start MDOScenario execution ***
    INFO - 13:08:37: MDOScenario
    INFO - 13:08:37:    Disciplines: Aerodynamics Mission
    INFO - 13:08:37:    MDO formulation: DisciplinaryOpt
    INFO - 13:08:37: Optimization problem:
    INFO - 13:08:37:    minimize -range(thick_airfoils)
    INFO - 13:08:37:    with respect to thick_airfoils
    INFO - 13:08:37:    subject to constraints:
    INFO - 13:08:37:       lift(thick_airfoils) == 0.5
    INFO - 13:08:37:    over the design space:
    INFO - 13:08:37:       +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37:       | Name           | Lower bound | Value | Upper bound | Type  |
    INFO - 13:08:37:       +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37:       | thick_airfoils |      5      |   5   |      25     | float |
    INFO - 13:08:37:       +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 13:08:37:     20%|██        | 1/5 [00:00<00:00, 787.37 it/sec, obj=-4.27e+3]
 WARNING - 13:08:37: Optimization found no feasible point !  The least infeasible point is selected.
    INFO - 13:08:37: Optimization result:
    INFO - 13:08:37:    Optimizer info:
    INFO - 13:08:37:       Status: 5
    INFO - 13:08:37:       Message: NLOPT_MAXEVAL_REACHED: Optimization stopped because maxeval (above) was reached
    INFO - 13:08:37:       Number of calls to the objective function by the optimizer: 8
    INFO - 13:08:37:    Solution:
 WARNING - 13:08:37:       The solution is not feasible.
    INFO - 13:08:37:       Objective: -4267.910320106268
    INFO - 13:08:37:       Standardized constraints:
    INFO - 13:08:37:          [lift-0.5] = 0.12708333333392374
    INFO - 13:08:37:       Design space:
    INFO - 13:08:37:          +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37:          | Name           | Lower bound | Value | Upper bound | Type  |
    INFO - 13:08:37:          +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37:          | thick_airfoils |      5      |   5   |      25     | float |
    INFO - 13:08:37:          +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37: *** End MDOScenario execution (time: 0:00:00.018213) ***
    INFO - 13:08:37:
    INFO - 13:08:37: *** Start MDOScenario execution ***
    INFO - 13:08:37: MDOScenario
    INFO - 13:08:37:    Disciplines: Mission Structure
    INFO - 13:08:37:    MDO formulation: DisciplinaryOpt
    INFO - 13:08:37: Optimization problem:
    INFO - 13:08:37:    minimize -range(thick_panels)
    INFO - 13:08:37:    with respect to thick_panels
    INFO - 13:08:37:    subject to constraints:
    INFO - 13:08:37:       reserve_fact(thick_panels) <= 0.5
    INFO - 13:08:37:    over the design space:
    INFO - 13:08:37:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37:       | Name         | Lower bound |       Value       | Upper bound | Type  |
    INFO - 13:08:37:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37:       | thick_panels |      1      | 3.266666666489645 |      20     | float |
    INFO - 13:08:37:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 13:08:37:     20%|██        | 1/5 [00:00<00:00, 904.53 it/sec, obj=-4.27e+3]
   ERROR - 13:08:37: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
Traceback (most recent call last):
  File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/5.3.2/lib/python3.9/site-packages/gemseo/algos/opt/lib_nlopt.py", line 498, in _run
    nlopt_problem.optimize(x_0.real)
  File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/5.3.2/lib/python3.9/site-packages/nlopt/nlopt.py", line 335, in optimize
    return _nlopt.opt_optimize(self, *args)
nlopt.RoundoffLimited: NLopt roundoff-limited
    INFO - 13:08:37:     40%|████      | 2/5 [00:00<00:00, 302.29 it/sec, obj=-4.27e+3]
    INFO - 13:08:37: Optimization result:
    INFO - 13:08:37:    Optimizer info:
    INFO - 13:08:37:       Status: None
    INFO - 13:08:37:       Message:  GEMSEO Stopped the driver
    INFO - 13:08:37:       Number of calls to the objective function by the optimizer: 3
    INFO - 13:08:37:    Solution:
    INFO - 13:08:37:       The solution is feasible.
    INFO - 13:08:37:       Objective: -4270.047650043281
    INFO - 13:08:37:       Standardized constraints:
    INFO - 13:08:37:          [reserve_fact-0.5] = 3.0379254667423083e-10
    INFO - 13:08:37:       Design space:
    INFO - 13:08:37:          +--------------+-------------+------------------+-------------+-------+
    INFO - 13:08:37:          | Name         | Lower bound |      Value       | Upper bound | Type  |
    INFO - 13:08:37:          +--------------+-------------+------------------+-------------+-------+
    INFO - 13:08:37:          | thick_panels |      1      | 1.76499999995232 |      20     | float |
    INFO - 13:08:37:          +--------------+-------------+------------------+-------------+-------+
    INFO - 13:08:37: *** End MDOScenario execution (time: 0:00:00.020296) ***
    INFO - 13:08:37:     29%|██▊       | 2/7 [00:00<00:00, 10.81 it/sec, obj=-4.27e+3]
    INFO - 13:08:37:
    INFO - 13:08:37: *** Start MDOScenario execution ***
    INFO - 13:08:37: MDOScenario
    INFO - 13:08:37:    Disciplines: Aerodynamics Mission
    INFO - 13:08:37:    MDO formulation: DisciplinaryOpt
    INFO - 13:08:37: Optimization problem:
    INFO - 13:08:37:    minimize -range(thick_airfoils)
    INFO - 13:08:37:    with respect to thick_airfoils
    INFO - 13:08:37:    subject to constraints:
    INFO - 13:08:37:       lift(thick_airfoils) == 0.5
    INFO - 13:08:37:    over the design space:
    INFO - 13:08:37:       +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37:       | Name           | Lower bound | Value | Upper bound | Type  |
    INFO - 13:08:37:       +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37:       | thick_airfoils |      5      |   5   |      25     | float |
    INFO - 13:08:37:       +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 13:08:37:     20%|██        | 1/5 [00:00<00:00, 700.69 it/sec, obj=-4.53e+3]
    INFO - 13:08:37:     40%|████      | 2/5 [00:00<00:00, 264.37 it/sec, obj=-3.83e+3]
    INFO - 13:08:37:     60%|██████    | 3/5 [00:00<00:00, 377.94 it/sec, obj=-4.43e+3]
    INFO - 13:08:37:     80%|████████  | 4/5 [00:00<00:00, 406.83 it/sec, obj=-4.5e+3]
    INFO - 13:08:37:    100%|██████████| 5/5 [00:00<00:00, 426.99 it/sec, obj=-4.51e+3]
 WARNING - 13:08:37: Optimization found no feasible point !  The least infeasible point is selected.
    INFO - 13:08:37: Optimization result:
    INFO - 13:08:37:    Optimizer info:
    INFO - 13:08:37:       Status: None
    INFO - 13:08:37:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
    INFO - 13:08:37:       Number of calls to the objective function by the optimizer: 7
    INFO - 13:08:37:    Solution:
 WARNING - 13:08:37:       The solution is not feasible.
    INFO - 13:08:37:       Objective: -3831.8072182663145
    INFO - 13:08:37:       Standardized constraints:
    INFO - 13:08:37:          [lift-0.5] = -0.002337406467956271
    INFO - 13:08:37:       Design space:
    INFO - 13:08:37:          +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37:          | Name           | Lower bound | Value | Upper bound | Type  |
    INFO - 13:08:37:          +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37:          | thick_airfoils |      5      |   25  |      25     | float |
    INFO - 13:08:37:          +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37: *** End MDOScenario execution (time: 0:00:00.026487) ***
    INFO - 13:08:37:
    INFO - 13:08:37: *** Start MDOScenario execution ***
    INFO - 13:08:37: MDOScenario
    INFO - 13:08:37:    Disciplines: Mission Structure
    INFO - 13:08:37:    MDO formulation: DisciplinaryOpt
    INFO - 13:08:37: Optimization problem:
    INFO - 13:08:37:    minimize -range(thick_panels)
    INFO - 13:08:37:    with respect to thick_panels
    INFO - 13:08:37:    subject to constraints:
    INFO - 13:08:37:       reserve_fact(thick_panels) <= 0.5
    INFO - 13:08:37:    over the design space:
    INFO - 13:08:37:       +--------------+-------------+------------------+-------------+-------+
    INFO - 13:08:37:       | Name         | Lower bound |      Value       | Upper bound | Type  |
    INFO - 13:08:37:       +--------------+-------------+------------------+-------------+-------+
    INFO - 13:08:37:       | thick_panels |      1      | 1.76499999995232 |      20     | float |
    INFO - 13:08:37:       +--------------+-------------+------------------+-------------+-------+
    INFO - 13:08:37: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 13:08:37:     20%|██        | 1/5 [00:00<00:00, 666.93 it/sec, obj=-3.82e+3]
    INFO - 13:08:37:     40%|████      | 2/5 [00:00<00:00, 248.42 it/sec, obj=-3.82e+3]
    INFO - 13:08:37:     60%|██████    | 3/5 [00:00<00:00, 262.32 it/sec, obj=-3.82e+3]
    INFO - 13:08:37:     80%|████████  | 4/5 [00:00<00:00, 321.75 it/sec, obj=Not evaluated]
    INFO - 13:08:37: Optimization result:
    INFO - 13:08:37:    Optimizer info:
    INFO - 13:08:37:       Status: None
    INFO - 13:08:37:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
    INFO - 13:08:37:       Number of calls to the objective function by the optimizer: 4
    INFO - 13:08:37:    Solution:
    INFO - 13:08:37:       The solution is feasible.
    INFO - 13:08:37:       Objective: -3818.590285597202
    INFO - 13:08:37:       Standardized constraints:
    INFO - 13:08:37:          [reserve_fact-0.5] = -5.3944404498906806e-11
    INFO - 13:08:37:       Design space:
    INFO - 13:08:37:          +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37:          | Name         | Lower bound |       Value       | Upper bound | Type  |
    INFO - 13:08:37:          +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37:          | thick_panels |      1      | 3.414591822867941 |      20     | float |
    INFO - 13:08:37:          +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37: *** End MDOScenario execution (time: 0:00:00.026055) ***
    INFO - 13:08:37:     43%|████▎     | 3/7 [00:00<00:00, 11.60 it/sec, obj=-3.82e+3]
    INFO - 13:08:37:
    INFO - 13:08:37: *** Start MDOScenario execution ***
    INFO - 13:08:37: MDOScenario
    INFO - 13:08:37:    Disciplines: Aerodynamics Mission
    INFO - 13:08:37:    MDO formulation: DisciplinaryOpt
    INFO - 13:08:37: Optimization problem:
    INFO - 13:08:37:    minimize -range(thick_airfoils)
    INFO - 13:08:37:    with respect to thick_airfoils
    INFO - 13:08:37:    subject to constraints:
    INFO - 13:08:37:       lift(thick_airfoils) == 0.5
    INFO - 13:08:37:    over the design space:
    INFO - 13:08:37:       +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37:       | Name           | Lower bound | Value | Upper bound | Type  |
    INFO - 13:08:37:       +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37:       | thick_airfoils |      5      |   25  |      25     | float |
    INFO - 13:08:37:       +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 13:08:37:     20%|██        | 1/5 [00:00<00:00, 770.02 it/sec, obj=-3.82e+3]
 WARNING - 13:08:37: Optimization found no feasible point !  The least infeasible point is selected.
    INFO - 13:08:37:     40%|████      | 2/5 [00:00<00:00, 269.90 it/sec, obj=-4.49e+3]
    INFO - 13:08:37: Optimization result:
    INFO - 13:08:37:    Optimizer info:
    INFO - 13:08:37:       Status: 5
    INFO - 13:08:37:       Message: NLOPT_MAXEVAL_REACHED: Optimization stopped because maxeval (above) was reached
    INFO - 13:08:37:       Number of calls to the objective function by the optimizer: 8
    INFO - 13:08:37:    Solution:
 WARNING - 13:08:37:       The solution is not feasible.
    INFO - 13:08:37:       Objective: -4490.540174494279
    INFO - 13:08:37:       Standardized constraints:
    INFO - 13:08:37:          [lift-0.5] = 0.009181031904923698
    INFO - 13:08:37:       Design space:
    INFO - 13:08:37:          +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37:          | Name           | Lower bound | Value | Upper bound | Type  |
    INFO - 13:08:37:          +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37:          | thick_airfoils |      5      |   5   |      25     | float |
    INFO - 13:08:37:          +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37: *** End MDOScenario execution (time: 0:00:00.021193) ***
    INFO - 13:08:37:
    INFO - 13:08:37: *** Start MDOScenario execution ***
    INFO - 13:08:37: MDOScenario
    INFO - 13:08:37:    Disciplines: Mission Structure
    INFO - 13:08:37:    MDO formulation: DisciplinaryOpt
    INFO - 13:08:37: Optimization problem:
    INFO - 13:08:37:    minimize -range(thick_panels)
    INFO - 13:08:37:    with respect to thick_panels
    INFO - 13:08:37:    subject to constraints:
    INFO - 13:08:37:       reserve_fact(thick_panels) <= 0.5
    INFO - 13:08:37:    over the design space:
    INFO - 13:08:37:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37:       | Name         | Lower bound |       Value       | Upper bound | Type  |
    INFO - 13:08:37:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37:       | thick_panels |      1      | 3.414591822867941 |      20     | float |
    INFO - 13:08:37:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 13:08:37:     20%|██        | 1/5 [00:00<00:00, 615.00 it/sec, obj=-4.5e+3]
    INFO - 13:08:37:     40%|████      | 2/5 [00:00<00:00, 236.33 it/sec, obj=-4.5e+3]
    INFO - 13:08:37:     60%|██████    | 3/5 [00:00<00:00, 260.79 it/sec, obj=-4.5e+3]
    INFO - 13:08:37:     80%|████████  | 4/5 [00:00<00:00, 336.62 it/sec, obj=-4.5e+3]
    INFO - 13:08:37: Optimization result:
    INFO - 13:08:37:    Optimizer info:
    INFO - 13:08:37:       Status: None
    INFO - 13:08:37:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 13:08:37:       Number of calls to the objective function by the optimizer: 5
    INFO - 13:08:37:    Solution:
    INFO - 13:08:37:       The solution is feasible.
    INFO - 13:08:37:       Objective: -4503.594576633929
    INFO - 13:08:37:       Standardized constraints:
    INFO - 13:08:37:          [reserve_fact-0.5] = 6.698783749925497e-10
    INFO - 13:08:37:       Design space:
    INFO - 13:08:37:          +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37:          | Name         | Lower bound |       Value       | Upper bound | Type  |
    INFO - 13:08:37:          +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37:          | thick_panels |      1      | 3.256301558248119 |      20     | float |
    INFO - 13:08:37:          +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37: *** End MDOScenario execution (time: 0:00:00.025975) ***
    INFO - 13:08:37:     57%|█████▋    | 4/7 [00:00<00:00, 12.26 it/sec, obj=-4.51e+3]
    INFO - 13:08:37:
    INFO - 13:08:37: *** Start MDOScenario execution ***
    INFO - 13:08:37: MDOScenario
    INFO - 13:08:37:    Disciplines: Aerodynamics Mission
    INFO - 13:08:37:    MDO formulation: DisciplinaryOpt
    INFO - 13:08:37: Optimization problem:
    INFO - 13:08:37:    minimize -range(thick_airfoils)
    INFO - 13:08:37:    with respect to thick_airfoils
    INFO - 13:08:37:    subject to constraints:
    INFO - 13:08:37:       lift(thick_airfoils) == 0.5
    INFO - 13:08:37:    over the design space:
    INFO - 13:08:37:       +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37:       | Name           | Lower bound | Value | Upper bound | Type  |
    INFO - 13:08:37:       +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37:       | thick_airfoils |      5      |   5   |      25     | float |
    INFO - 13:08:37:       +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 13:08:37:     20%|██        | 1/5 [00:00<00:00, 757.50 it/sec, obj=-4.51e+3]
    INFO - 13:08:37:     40%|████      | 2/5 [00:00<00:00, 271.66 it/sec, obj=-3.85e+3]
    INFO - 13:08:37:     60%|██████    | 3/5 [00:00<00:00, 387.89 it/sec, obj=-4.48e+3]
    INFO - 13:08:37:     80%|████████  | 4/5 [00:00<00:00, 395.54 it/sec, obj=-4.51e+3]
    INFO - 13:08:37:    100%|██████████| 5/5 [00:00<00:00, 400.68 it/sec, obj=-4.51e+3]
    INFO - 13:08:37: Optimization result:
    INFO - 13:08:37:    Optimizer info:
    INFO - 13:08:37:       Status: None
    INFO - 13:08:37:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
    INFO - 13:08:37:       Number of calls to the objective function by the optimizer: 7
    INFO - 13:08:37:    Solution:
    INFO - 13:08:37:       The solution is feasible.
    INFO - 13:08:37:       Objective: -3854.0819931389487
    INFO - 13:08:37:       Standardized constraints:
    INFO - 13:08:37:          [lift-0.5] = 0.0
    INFO - 13:08:37:       Design space:
    INFO - 13:08:37:          +----------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37:          | Name           | Lower bound |       Value       | Upper bound | Type  |
    INFO - 13:08:37:          +----------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37:          | thick_airfoils |      5      | 24.35677033053473 |      25     | float |
    INFO - 13:08:37:          +----------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37: *** End MDOScenario execution (time: 0:00:00.028626) ***
    INFO - 13:08:37:
    INFO - 13:08:37: *** Start MDOScenario execution ***
    INFO - 13:08:37: MDOScenario
    INFO - 13:08:37:    Disciplines: Mission Structure
    INFO - 13:08:37:    MDO formulation: DisciplinaryOpt
    INFO - 13:08:37: Optimization problem:
    INFO - 13:08:37:    minimize -range(thick_panels)
    INFO - 13:08:37:    with respect to thick_panels
    INFO - 13:08:37:    subject to constraints:
    INFO - 13:08:37:       reserve_fact(thick_panels) <= 0.5
    INFO - 13:08:37:    over the design space:
    INFO - 13:08:37:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37:       | Name         | Lower bound |       Value       | Upper bound | Type  |
    INFO - 13:08:37:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37:       | thick_panels |      1      | 3.256301558248119 |      20     | float |
    INFO - 13:08:37:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 13:08:37:     20%|██        | 1/5 [00:00<00:00, 639.28 it/sec, obj=-3.84e+3]
    INFO - 13:08:37:     40%|████      | 2/5 [00:00<00:00, 246.25 it/sec, obj=-3.84e+3]
    INFO - 13:08:37:     60%|██████    | 3/5 [00:00<00:00, 258.93 it/sec, obj=-3.84e+3]
    INFO - 13:08:37:     80%|████████  | 4/5 [00:00<00:00, 319.14 it/sec, obj=Not evaluated]
    INFO - 13:08:37: Optimization result:
    INFO - 13:08:37:    Optimizer info:
    INFO - 13:08:37:       Status: None
    INFO - 13:08:37:       Message: Successive iterates of the design variables are closer than xtol_rel or xtol_abs. GEMSEO Stopped the driver
    INFO - 13:08:37:       Number of calls to the objective function by the optimizer: 4
    INFO - 13:08:37:    Solution:
    INFO - 13:08:37:       The solution is feasible.
    INFO - 13:08:37:       Objective: -3843.3820257701595
    INFO - 13:08:37:       Standardized constraints:
    INFO - 13:08:37:          [reserve_fact-0.5] = -2.8256863515707664e-10
    INFO - 13:08:37:       Design space:
    INFO - 13:08:37:          +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37:          | Name         | Lower bound |       Value       | Upper bound | Type  |
    INFO - 13:08:37:          +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37:          | thick_panels |      1      | 3.303233590689217 |      20     | float |
    INFO - 13:08:37:          +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37: *** End MDOScenario execution (time: 0:00:00.026053) ***
    INFO - 13:08:37:     71%|███████▏  | 5/7 [00:00<00:00, 12.43 it/sec, obj=-3.85e+3]
    INFO - 13:08:37:
    INFO - 13:08:37: *** Start MDOScenario execution ***
    INFO - 13:08:37: MDOScenario
    INFO - 13:08:37:    Disciplines: Aerodynamics Mission
    INFO - 13:08:37:    MDO formulation: DisciplinaryOpt
    INFO - 13:08:37: Optimization problem:
    INFO - 13:08:37:    minimize -range(thick_airfoils)
    INFO - 13:08:37:    with respect to thick_airfoils
    INFO - 13:08:37:    subject to constraints:
    INFO - 13:08:37:       lift(thick_airfoils) == 0.5
    INFO - 13:08:37:    over the design space:
    INFO - 13:08:37:       +----------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37:       | Name           | Lower bound |       Value       | Upper bound | Type  |
    INFO - 13:08:37:       +----------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37:       | thick_airfoils |      5      | 24.35677033053473 |      25     | float |
    INFO - 13:08:37:       +----------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 13:08:37:     20%|██        | 1/5 [00:00<00:00, 751.53 it/sec, obj=-3.85e+3]
 WARNING - 13:08:37: Optimization found no feasible point !  The least infeasible point is selected.
    INFO - 13:08:37:     40%|████      | 2/5 [00:00<00:00, 264.06 it/sec, obj=-4.49e+3]
    INFO - 13:08:37: Optimization result:
    INFO - 13:08:37:    Optimizer info:
    INFO - 13:08:37:       Status: 5
    INFO - 13:08:37:       Message: NLOPT_MAXEVAL_REACHED: Optimization stopped because maxeval (above) was reached
    INFO - 13:08:37:       Number of calls to the objective function by the optimizer: 8
    INFO - 13:08:37:    Solution:
 WARNING - 13:08:37:       The solution is not feasible.
    INFO - 13:08:37:       Objective: -4492.3892070048105
    INFO - 13:08:37:       Standardized constraints:
    INFO - 13:08:37:          [lift-0.5] = 0.008585873205804617
    INFO - 13:08:37:       Design space:
    INFO - 13:08:37:          +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37:          | Name           | Lower bound | Value | Upper bound | Type  |
    INFO - 13:08:37:          +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37:          | thick_airfoils |      5      |   5   |      25     | float |
    INFO - 13:08:37:          +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:37: *** End MDOScenario execution (time: 0:00:00.021111) ***
    INFO - 13:08:37:
    INFO - 13:08:37: *** Start MDOScenario execution ***
    INFO - 13:08:37: MDOScenario
    INFO - 13:08:37:    Disciplines: Mission Structure
    INFO - 13:08:37:    MDO formulation: DisciplinaryOpt
    INFO - 13:08:37: Optimization problem:
    INFO - 13:08:37:    minimize -range(thick_panels)
    INFO - 13:08:37:    with respect to thick_panels
    INFO - 13:08:37:    subject to constraints:
    INFO - 13:08:37:       reserve_fact(thick_panels) <= 0.5
    INFO - 13:08:37:    over the design space:
    INFO - 13:08:37:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37:       | Name         | Lower bound |       Value       | Upper bound | Type  |
    INFO - 13:08:37:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37:       | thick_panels |      1      | 3.303233590689217 |      20     | float |
    INFO - 13:08:37:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 13:08:37:     20%|██        | 1/5 [00:00<00:00, 630.63 it/sec, obj=-4.5e+3]
    INFO - 13:08:37:     40%|████      | 2/5 [00:00<00:00, 242.87 it/sec, obj=-4.5e+3]
   ERROR - 13:08:37: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
Traceback (most recent call last):
  File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/5.3.2/lib/python3.9/site-packages/gemseo/algos/opt/lib_nlopt.py", line 498, in _run
    nlopt_problem.optimize(x_0.real)
  File "/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/5.3.2/lib/python3.9/site-packages/nlopt/nlopt.py", line 335, in optimize
    return _nlopt.opt_optimize(self, *args)
nlopt.RoundoffLimited: NLopt roundoff-limited
    INFO - 13:08:37:     60%|██████    | 3/5 [00:00<00:00, 278.01 it/sec, obj=-4.5e+3]
    INFO - 13:08:37: Optimization result:
    INFO - 13:08:37:    Optimizer info:
    INFO - 13:08:37:       Status: None
    INFO - 13:08:37:       Message:  GEMSEO Stopped the driver
    INFO - 13:08:37:       Number of calls to the objective function by the optimizer: 4
    INFO - 13:08:37:    Solution:
    INFO - 13:08:37:       The solution is feasible.
    INFO - 13:08:37:       Objective: -4504.850158478712
    INFO - 13:08:37:       Standardized constraints:
    INFO - 13:08:37:          [reserve_fact-0.5] = 5.907594413656625e-10
    INFO - 13:08:37:       Design space:
    INFO - 13:08:37:          +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37:          | Name         | Lower bound |       Value       | Upper bound | Type  |
    INFO - 13:08:37:          +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37:          | thick_panels |      1      | 3.264536835553452 |      20     | float |
    INFO - 13:08:37:          +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:37: *** End MDOScenario execution (time: 0:00:00.024262) ***
    INFO - 13:08:38:     86%|████████▌ | 6/7 [00:00<00:00, 12.83 it/sec, obj=-4.51e+3]
    INFO - 13:08:38:
    INFO - 13:08:38: *** Start MDOScenario execution ***
    INFO - 13:08:38: MDOScenario
    INFO - 13:08:38:    Disciplines: Aerodynamics Mission
    INFO - 13:08:38:    MDO formulation: DisciplinaryOpt
    INFO - 13:08:38: Optimization problem:
    INFO - 13:08:38:    minimize -range(thick_airfoils)
    INFO - 13:08:38:    with respect to thick_airfoils
    INFO - 13:08:38:    subject to constraints:
    INFO - 13:08:38:       lift(thick_airfoils) == 0.5
    INFO - 13:08:38:    over the design space:
    INFO - 13:08:38:       +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:38:       | Name           | Lower bound | Value | Upper bound | Type  |
    INFO - 13:08:38:       +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:38:       | thick_airfoils |      5      |   5   |      25     | float |
    INFO - 13:08:38:       +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:38: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 13:08:38:     20%|██        | 1/5 [00:00<00:00, 763.71 it/sec, obj=-4.51e+3]
    INFO - 13:08:38:     40%|████      | 2/5 [00:00<00:00, 251.22 it/sec, obj=-4.48e+3]
    INFO - 13:08:38:     60%|██████    | 3/5 [00:00<00:00, 358.81 it/sec, obj=-4.51e+3]
    INFO - 13:08:38:     80%|████████  | 4/5 [00:00<00:00, 378.15 it/sec, obj=-4.51e+3]
    INFO - 13:08:38:    100%|██████████| 5/5 [00:00<00:00, 385.06 it/sec, obj=-4.51e+3]
    INFO - 13:08:38: Optimization result:
    INFO - 13:08:38:    Optimizer info:
    INFO - 13:08:38:       Status: None
    INFO - 13:08:38:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
    INFO - 13:08:38:       Number of calls to the objective function by the optimizer: 7
    INFO - 13:08:38:    Solution:
    INFO - 13:08:38:       The solution is feasible.
    INFO - 13:08:38:       Objective: -4509.519641910692
    INFO - 13:08:38:       Standardized constraints:
    INFO - 13:08:38:          [lift-0.5] = -0.00013691252341030413
    INFO - 13:08:38:       Design space:
    INFO - 13:08:38:          +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:38:          | Name           | Lower bound | Value | Upper bound | Type  |
    INFO - 13:08:38:          +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:38:          | thick_airfoils |      5      |   5   |      25     | float |
    INFO - 13:08:38:          +----------------+-------------+-------+-------------+-------+
    INFO - 13:08:38: *** End MDOScenario execution (time: 0:00:00.029966) ***
    INFO - 13:08:38:
    INFO - 13:08:38: *** Start MDOScenario execution ***
    INFO - 13:08:38: MDOScenario
    INFO - 13:08:38:    Disciplines: Mission Structure
    INFO - 13:08:38:    MDO formulation: DisciplinaryOpt
    INFO - 13:08:38: Optimization problem:
    INFO - 13:08:38:    minimize -range(thick_panels)
    INFO - 13:08:38:    with respect to thick_panels
    INFO - 13:08:38:    subject to constraints:
    INFO - 13:08:38:       reserve_fact(thick_panels) <= 0.5
    INFO - 13:08:38:    over the design space:
    INFO - 13:08:38:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:38:       | Name         | Lower bound |       Value       | Upper bound | Type  |
    INFO - 13:08:38:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:38:       | thick_panels |      1      | 3.264536835553452 |      20     | float |
    INFO - 13:08:38:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:38: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 13:08:38:     20%|██        | 1/5 [00:00<00:00, 765.38 it/sec, obj=-4.51e+3]
    INFO - 13:08:38:     40%|████      | 2/5 [00:00<00:00, 251.35 it/sec, obj=-4.51e+3]
    INFO - 13:08:38:     60%|██████    | 3/5 [00:00<00:00, 275.52 it/sec, obj=-4.51e+3]
    INFO - 13:08:38:     80%|████████  | 4/5 [00:00<00:00, 355.37 it/sec, obj=-4.51e+3]
    INFO - 13:08:38: Optimization result:
    INFO - 13:08:38:    Optimizer info:
    INFO - 13:08:38:       Status: None
    INFO - 13:08:38:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 13:08:38:       Number of calls to the objective function by the optimizer: 5
    INFO - 13:08:38:    Solution:
    INFO - 13:08:38:       The solution is feasible.
    INFO - 13:08:38:       Objective: -4509.583287352668
    INFO - 13:08:38:       Standardized constraints:
    INFO - 13:08:38:          [reserve_fact-0.5] = 2.1673933758847852e-08
    INFO - 13:08:38:       Design space:
    INFO - 13:08:38:          +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:38:          | Name         | Lower bound |       Value       | Upper bound | Type  |
    INFO - 13:08:38:          +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:38:          | thick_panels |      1      | 3.225021423173744 |      20     | float |
    INFO - 13:08:38:          +--------------+-------------+-------------------+-------------+-------+
    INFO - 13:08:38: *** End MDOScenario execution (time: 0:00:00.025930) ***
    INFO - 13:08:38:    100%|██████████| 7/7 [00:00<00:00, 12.83 it/sec, obj=-4.51e+3]
    INFO - 13:08:38: Optimization result:
    INFO - 13:08:38:    Optimizer info:
    INFO - 13:08:38:       Status: None
    INFO - 13:08:38:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
    INFO - 13:08:38:       Number of calls to the objective function by the optimizer: 9
    INFO - 13:08:38:    Solution:
    INFO - 13:08:38:       The solution is feasible.
    INFO - 13:08:38:       Objective: -4509.243708600623
    INFO - 13:08:38:       Standardized constraints:
    INFO - 13:08:38:          [lift-0.5] = 5.903055821931957e-13
    INFO - 13:08:38:          [reserve_fact-0.5] = -0.2599999989201578
    INFO - 13:08:38:       Design space:
    INFO - 13:08:38:          +-------+-------------+-------+-------------+-------+
    INFO - 13:08:38:          | Name  | Lower bound | Value | Upper bound | Type  |
    INFO - 13:08:38:          +-------+-------------+-------+-------------+-------+
    INFO - 13:08:38:          | sweep |      10     |   25  |      35     | float |
    INFO - 13:08:38:          +-------+-------------+-------+-------------+-------+
    INFO - 13:08:38: *** End MDOScenario execution (time: 0:00:00.564590) ***

<gemseo.post.opt_history_view.OptHistoryView object at 0x7f8ba2d12f70>

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