MDO formulations for a toy example in aerostructure

from __future__ import annotations

from copy import deepcopy

from gemseo.api import configure_logger
from gemseo.api import create_discipline
from gemseo.api import create_scenario
from gemseo.api 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=disciplines,
    formulation="MDF",
    objective_name="range",
    design_space=design_space,
    maximize_objective=True,
)
scenario.add_constraint("reserve_fact", "ineq", value=0.5)
scenario.add_constraint("lift", "eq", 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/4.2.0/lib/python3.9/site-packages/gemseo/algos/design_space.py:459: ComplexWarning: Casting complex values to real discards the imaginary part
  self.__current_value[name] = array_value.astype(
    INFO - 17:24:57: Variable reserve_fact was removed from the Design Space, it is not an input of any discipline.
    INFO - 17:24:57:
    INFO - 17:24:57: *** Start MDOScenario execution ***
    INFO - 17:24:57: MDOScenario
    INFO - 17:24:57:    Disciplines: Aerodynamics Mission Structure
    INFO - 17:24:57:    MDO formulation: MDF
    INFO - 17:24:57: Optimization problem:
    INFO - 17:24:57:    minimize -range(thick_airfoils, thick_panels, sweep)
    INFO - 17:24:57:    with respect to sweep, thick_airfoils, thick_panels
    INFO - 17:24:57:    subject to constraints:
    INFO - 17:24:57:       reserve_fact(thick_airfoils, thick_panels, sweep) <= 0.5
    INFO - 17:24:57:       lift(thick_airfoils, thick_panels, sweep) == 0.5
    INFO - 17:24:57:    over the design space:
    INFO - 17:24:57:    +----------------+-------------+-------+-------------+-------+
    INFO - 17:24:57:    | name           | lower_bound | value | upper_bound | type  |
    INFO - 17:24:57:    +----------------+-------------+-------+-------------+-------+
    INFO - 17:24:57:    | thick_airfoils |      5      |   15  |      25     | float |
    INFO - 17:24:57:    | thick_panels   |      1      |   3   |      20     | float |
    INFO - 17:24:57:    | sweep          |      10     |   25  |      35     | float |
    INFO - 17:24:57:    +----------------+-------------+-------+-------------+-------+
    INFO - 17:24:57: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 17:24:57: ...   0%|          | 0/10 [00:00<?, ?it]
    INFO - 17:24:58: ...  10%|█         | 1/10 [00:00<00:00, 18.62 it/sec, obj=-4.25e+3]
    INFO - 17:24:58: ...  20%|██        | 2/10 [00:00<00:00,  9.16 it/sec, obj=-4.51e+3]
   ERROR - 17:24:58: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
    INFO - 17:24:58: ...  30%|███       | 3/10 [00:00<00:00, 13.31 it/sec, obj=-4.51e+3]
    INFO - 17:24:58: Optimization result:
    INFO - 17:24:58:    Optimizer info:
    INFO - 17:24:58:       Status: None
    INFO - 17:24:58:       Message:  GEMSEO Stopped the driver
    INFO - 17:24:58:       Number of calls to the objective function by the optimizer: 4
    INFO - 17:24:58:    Solution:
    INFO - 17:24:58:       The solution is feasible.
    INFO - 17:24:58:       Objective: -4509.505446938985
    INFO - 17:24:58:       Standardized constraints:
    INFO - 17:24:58:          lift - 0.5 = 1.4988010832439613e-14
    INFO - 17:24:58:          reserve_fact - 0.5 = 1.1013668199666427e-08
    INFO - 17:24:58:       Design space:
    INFO - 17:24:58:       +----------------+-------------+-------------------+-------------+-------+
    INFO - 17:24:58:       | name           | lower_bound |       value       | upper_bound | type  |
    INFO - 17:24:58:       +----------------+-------------+-------------------+-------------+-------+
    INFO - 17:24:58:       | thick_airfoils |      5      |         5         |      25     | float |
    INFO - 17:24:58:       | thick_panels   |      1      | 3.225589223849015 |      20     | float |
    INFO - 17:24:58:       | sweep          |      10     | 24.99326599298144 |      35     | float |
    INFO - 17:24:58:       +----------------+-------------+-------------------+-------------+-------+
    INFO - 17:24:58: *** End MDOScenario execution (time: 0:00:00.248354) ***

<gemseo.post.opt_history_view.OptHistoryView object at 0x7fcce87f7100>

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/4.2.0/lib/python3.9/site-packages/gemseo/algos/design_space.py:459: 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.

design_space_aero = deepcopy(design_space_ref).filter(["thick_airfoils"])
aero_scenario = create_scenario(
    disciplines=[aerodynamics, mission],
    formulation="DisciplinaryOpt",
    objective_name="range",
    design_space=design_space_aero,
    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.

design_space_struct = deepcopy(design_space_ref).filter(["thick_panels"])
struct_scenario = create_scenario(
    disciplines=[structure, mission],
    formulation="DisciplinaryOpt",
    objective_name="range",
    design_space=design_space_struct,
    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 = deepcopy(design_space_ref).filter(["sweep"])
system_scenario = create_scenario(
    disciplines=[aero_scenario, struct_scenario, mission],
    formulation="BiLevel",
    objective_name="range",
    design_space=design_space_system,
    maximize_objective=True,
    inner_mda_name="MDAJacobi",
    tolerance=1e-8,
)
system_scenario.add_constraint("reserve_fact", "ineq", value=0.5)
system_scenario.add_constraint("lift", "eq", 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 - 17:25:00:
    INFO - 17:25:00: *** Start MDOScenario execution ***
    INFO - 17:25:00: MDOScenario
    INFO - 17:25:00:    Disciplines: MDOScenario MDOScenario Mission
    INFO - 17:25:00:    MDO formulation: BiLevel
    INFO - 17:25:00: Optimization problem:
    INFO - 17:25:00:    minimize -range(sweep)
    INFO - 17:25:00:    with respect to sweep
    INFO - 17:25:00:    subject to constraints:
    INFO - 17:25:00:       reserve_fact(sweep) <= 0.5
    INFO - 17:25:00:       lift(sweep) == 0.5
    INFO - 17:25:00:    over the design space:
    INFO - 17:25:00:    +-------+-------------+-------+-------------+-------+
    INFO - 17:25:00:    | name  | lower_bound | value | upper_bound | type  |
    INFO - 17:25:00:    +-------+-------------+-------+-------------+-------+
    INFO - 17:25:00:    | sweep |      10     |   25  |      35     | float |
    INFO - 17:25:00:    +-------+-------------+-------+-------------+-------+
    INFO - 17:25:00: Solving optimization problem with algorithm NLOPT_COBYLA:
    INFO - 17:25:00: ...   0%|          | 0/7 [00:00<?, ?it]
    INFO - 17:25:00:
    INFO - 17:25:00: *** Start MDOScenario execution ***
    INFO - 17:25:00: MDOScenario
    INFO - 17:25:00:    Disciplines: Aerodynamics Mission
    INFO - 17:25:00:    MDO formulation: DisciplinaryOpt
    INFO - 17:25:00: Optimization problem:
    INFO - 17:25:00:    minimize -range(thick_airfoils)
    INFO - 17:25:00:    with respect to thick_airfoils
    INFO - 17:25:00:    subject to constraints:
    INFO - 17:25:00:       lift(thick_airfoils) == 0.5
    INFO - 17:25:00:    over the design space:
    INFO - 17:25:00:    +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00:    | name           | lower_bound | value | upper_bound | type  |
    INFO - 17:25:00:    +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00:    | thick_airfoils |      5      |   15  |      25     | float |
    INFO - 17:25:00:    +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 17:25:00: ...   0%|          | 0/5 [00:00<?, ?it]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  20%|██        | 1/5 [00:00<00:00, 115.60 it/sec, obj=-4.25e+3]
    INFO - 17:25:00:
 WARNING - 17:25:00: Optimization found no feasible point !  The least infeasible point is selected.
    INFO - 17:25:00: ...  40%|████      | 2/5 [00:00<00:00, 94.91 it/sec, obj=-4.5e+3]
    INFO - 17:25:00:
    INFO - 17:25:00:
    INFO - 17:25:00: Optimization result:
    INFO - 17:25:00:    Optimizer info:
    INFO - 17:25:00:       Status: 5
    INFO - 17:25:00:       Message: NLOPT_MAXEVAL_REACHED: Optimization stopped because maxeval (above) was reached
    INFO - 17:25:00:       Number of calls to the objective function by the optimizer: 8
    INFO - 17:25:00:    Solution:
 WARNING - 17:25:00:       The solution is not feasible.
    INFO - 17:25:00:       Objective: -4500.62486797491
    INFO - 17:25:00:       Standardized constraints:
    INFO - 17:25:00:          lift - 0.5 = 0.005333333333333634
    INFO - 17:25:00:       Design space:
    INFO - 17:25:00:       +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00:       | name           | lower_bound | value | upper_bound | type  |
    INFO - 17:25:00:       +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00:       | thick_airfoils |      5      |   5   |      25     | float |
    INFO - 17:25:00:       +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00: *** End MDOScenario execution (time: 0:00:00.042018) ***
    INFO - 17:25:00:
    INFO - 17:25:00: *** Start MDOScenario execution ***
    INFO - 17:25:00: MDOScenario
    INFO - 17:25:00:    Disciplines: Mission Structure
    INFO - 17:25:00:    MDO formulation: DisciplinaryOpt
    INFO - 17:25:00: Optimization problem:
    INFO - 17:25:00:    minimize -range(thick_panels)
    INFO - 17:25:00:    with respect to thick_panels
    INFO - 17:25:00:    subject to constraints:
    INFO - 17:25:00:       reserve_fact(thick_panels) <= 0.5
    INFO - 17:25:00:    over the design space:
    INFO - 17:25:00:    +--------------+-------------+-------+-------------+-------+
    INFO - 17:25:00:    | name         | lower_bound | value | upper_bound | type  |
    INFO - 17:25:00:    +--------------+-------------+-------+-------------+-------+
    INFO - 17:25:00:    | thick_panels |      1      |   3   |      20     | float |
    INFO - 17:25:00:    +--------------+-------------+-------+-------------+-------+
    INFO - 17:25:00: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 17:25:00: ...   0%|          | 0/5 [00:00<?, ?it]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  20%|██        | 1/5 [00:00<00:00, 106.18 it/sec, obj=-4.51e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  40%|████      | 2/5 [00:00<00:00, 86.49 it/sec, obj=-4.51e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  60%|██████    | 3/5 [00:00<00:00, 102.91 it/sec, obj=-4.51e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  80%|████████  | 4/5 [00:00<00:00, 134.43 it/sec, obj=-4.51e+3]
    INFO - 17:25:00:
    INFO - 17:25:00:
    INFO - 17:25:00: Optimization result:
    INFO - 17:25:00:    Optimizer info:
    INFO - 17:25:00:       Status: None
    INFO - 17:25:00:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 17:25:00:       Number of calls to the objective function by the optimizer: 5
    INFO - 17:25:00:    Solution:
    INFO - 17:25:00:       The solution is feasible.
    INFO - 17:25:00:       Objective: -4506.645473559042
    INFO - 17:25:00:       Standardized constraints:
    INFO - 17:25:00:          reserve_fact - 0.5 = 4.75033345992415e-10
    INFO - 17:25:00:       Design space:
    INFO - 17:25:00:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00:       | name         | lower_bound |       value       | upper_bound | type  |
    INFO - 17:25:00:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00:       | thick_panels |      1      | 3.249999999920828 |      20     | float |
    INFO - 17:25:00:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00: *** End MDOScenario execution (time: 0:00:00.051144) ***
    INFO - 17:25:00: ...  14%|█▍        | 1/7 [00:00<00:01,  4.90 it/sec, obj=-4.51e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: *** Start MDOScenario execution ***
    INFO - 17:25:00: MDOScenario
    INFO - 17:25:00:    Disciplines: Aerodynamics Mission
    INFO - 17:25:00:    MDO formulation: DisciplinaryOpt
    INFO - 17:25:00: Optimization problem:
    INFO - 17:25:00:    minimize -range(thick_airfoils)
    INFO - 17:25:00:    with respect to thick_airfoils
    INFO - 17:25:00:    subject to constraints:
    INFO - 17:25:00:       lift(thick_airfoils) == 0.5
    INFO - 17:25:00:    over the design space:
    INFO - 17:25:00:    +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00:    | name           | lower_bound | value | upper_bound | type  |
    INFO - 17:25:00:    +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00:    | thick_airfoils |      5      |   5   |      25     | float |
    INFO - 17:25:00:    +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 17:25:00: ...   0%|          | 0/5 [00:00<?, ?it]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  20%|██        | 1/5 [00:00<00:00, 464.49 it/sec, obj=-4.27e+3]
    INFO - 17:25:00:
 WARNING - 17:25:00: Optimization found no feasible point !  The least infeasible point is selected.
    INFO - 17:25:00:
    INFO - 17:25:00: Optimization result:
    INFO - 17:25:00:    Optimizer info:
    INFO - 17:25:00:       Status: 5
    INFO - 17:25:00:       Message: NLOPT_MAXEVAL_REACHED: Optimization stopped because maxeval (above) was reached
    INFO - 17:25:00:       Number of calls to the objective function by the optimizer: 8
    INFO - 17:25:00:    Solution:
 WARNING - 17:25:00:       The solution is not feasible.
    INFO - 17:25:00:       Objective: -4267.901616337772
    INFO - 17:25:00:       Standardized constraints:
    INFO - 17:25:00:          lift - 0.5 = 0.12713888888915292
    INFO - 17:25:00:       Design space:
    INFO - 17:25:00:       +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00:       | name           | lower_bound | value | upper_bound | type  |
    INFO - 17:25:00:       +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00:       | thick_airfoils |      5      |   5   |      25     | float |
    INFO - 17:25:00:       +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00: *** End MDOScenario execution (time: 0:00:00.014007) ***
    INFO - 17:25:00:
    INFO - 17:25:00: *** Start MDOScenario execution ***
    INFO - 17:25:00: MDOScenario
    INFO - 17:25:00:    Disciplines: Mission Structure
    INFO - 17:25:00:    MDO formulation: DisciplinaryOpt
    INFO - 17:25:00: Optimization problem:
    INFO - 17:25:00:    minimize -range(thick_panels)
    INFO - 17:25:00:    with respect to thick_panels
    INFO - 17:25:00:    subject to constraints:
    INFO - 17:25:00:       reserve_fact(thick_panels) <= 0.5
    INFO - 17:25:00:    over the design space:
    INFO - 17:25:00:    +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00:    | name         | lower_bound |       value       | upper_bound | type  |
    INFO - 17:25:00:    +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00:    | thick_panels |      1      | 3.249999999920828 |      20     | float |
    INFO - 17:25:00:    +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 17:25:00: ...   0%|          | 0/5 [00:00<?, ?it]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  20%|██        | 1/5 [00:00<00:00, 599.87 it/sec, obj=-4.27e+3]
    INFO - 17:25:00:
   ERROR - 17:25:00: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
    INFO - 17:25:00: ...  40%|████      | 2/5 [00:00<00:00, 167.45 it/sec, obj=-4.27e+3]
    INFO - 17:25:00:
    INFO - 17:25:00:
    INFO - 17:25:00: Optimization result:
    INFO - 17:25:00:    Optimizer info:
    INFO - 17:25:00:       Status: None
    INFO - 17:25:00:       Message:  GEMSEO Stopped the driver
    INFO - 17:25:00:       Number of calls to the objective function by the optimizer: 3
    INFO - 17:25:00:    Solution:
    INFO - 17:25:00:       The solution is feasible.
    INFO - 17:25:00:       Objective: -4270.014801163224
    INFO - 17:25:00:       Standardized constraints:
    INFO - 17:25:00:          reserve_fact - 0.5 = 1.3178436120142578e-10
    INFO - 17:25:00:       Design space:
    INFO - 17:25:00:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00:       | name         | lower_bound |       value       | upper_bound | type  |
    INFO - 17:25:00:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00:       | thick_panels |      1      | 1.765277777757134 |      20     | float |
    INFO - 17:25:00:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00: *** End MDOScenario execution (time: 0:00:00.017599) ***
    INFO - 17:25:00: ...  29%|██▊       | 2/7 [00:00<00:00,  7.56 it/sec, obj=-4.27e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: *** Start MDOScenario execution ***
    INFO - 17:25:00: MDOScenario
    INFO - 17:25:00:    Disciplines: Aerodynamics Mission
    INFO - 17:25:00:    MDO formulation: DisciplinaryOpt
    INFO - 17:25:00: Optimization problem:
    INFO - 17:25:00:    minimize -range(thick_airfoils)
    INFO - 17:25:00:    with respect to thick_airfoils
    INFO - 17:25:00:    subject to constraints:
    INFO - 17:25:00:       lift(thick_airfoils) == 0.5
    INFO - 17:25:00:    over the design space:
    INFO - 17:25:00:    +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00:    | name           | lower_bound | value | upper_bound | type  |
    INFO - 17:25:00:    +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00:    | thick_airfoils |      5      |   5   |      25     | float |
    INFO - 17:25:00:    +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 17:25:00: ...   0%|          | 0/5 [00:00<?, ?it]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  20%|██        | 1/5 [00:00<00:00, 475.98 it/sec, obj=-4.53e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  40%|████      | 2/5 [00:00<00:00, 147.90 it/sec, obj=-3.83e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  60%|██████    | 3/5 [00:00<00:00, 212.29 it/sec, obj=-4.43e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  80%|████████  | 4/5 [00:00<00:00, 228.31 it/sec, obj=-4.5e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: ... 100%|██████████| 5/5 [00:00<00:00, 237.24 it/sec, obj=-4.51e+3]
    INFO - 17:25:00:
 WARNING - 17:25:00: Optimization found no feasible point !  The least infeasible point is selected.
    INFO - 17:25:00:
    INFO - 17:25:00: Optimization result:
    INFO - 17:25:00:    Optimizer info:
    INFO - 17:25:00:       Status: None
    INFO - 17:25:00:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
    INFO - 17:25:00:       Number of calls to the objective function by the optimizer: 7
    INFO - 17:25:00:    Solution:
 WARNING - 17:25:00:       The solution is not feasible.
    INFO - 17:25:00:       Objective: -3831.8061828212526
    INFO - 17:25:00:       Standardized constraints:
    INFO - 17:25:00:          lift - 0.5 = -0.0023383323939722422
    INFO - 17:25:00:       Design space:
    INFO - 17:25:00:       +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00:       | name           | lower_bound | value | upper_bound | type  |
    INFO - 17:25:00:       +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00:       | thick_airfoils |      5      |   25  |      25     | float |
    INFO - 17:25:00:       +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00: *** End MDOScenario execution (time: 0:00:00.028899) ***
    INFO - 17:25:00:
    INFO - 17:25:00: *** Start MDOScenario execution ***
    INFO - 17:25:00: MDOScenario
    INFO - 17:25:00:    Disciplines: Mission Structure
    INFO - 17:25:00:    MDO formulation: DisciplinaryOpt
    INFO - 17:25:00: Optimization problem:
    INFO - 17:25:00:    minimize -range(thick_panels)
    INFO - 17:25:00:    with respect to thick_panels
    INFO - 17:25:00:    subject to constraints:
    INFO - 17:25:00:       reserve_fact(thick_panels) <= 0.5
    INFO - 17:25:00:    over the design space:
    INFO - 17:25:00:    +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00:    | name         | lower_bound |       value       | upper_bound | type  |
    INFO - 17:25:00:    +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00:    | thick_panels |      1      | 1.765277777757134 |      20     | float |
    INFO - 17:25:00:    +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 17:25:00: ...   0%|          | 0/5 [00:00<?, ?it]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  20%|██        | 1/5 [00:00<00:00, 452.51 it/sec, obj=-3.82e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  40%|████      | 2/5 [00:00<00:00, 133.23 it/sec, obj=-3.82e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  60%|██████    | 3/5 [00:00<00:00, 136.39 it/sec, obj=-3.82e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  80%|████████  | 4/5 [00:00<00:00, 172.62 it/sec, obj=Not evaluated]
    INFO - 17:25:00:
    INFO - 17:25:00:
    INFO - 17:25:00: Optimization result:
    INFO - 17:25:00:    Optimizer info:
    INFO - 17:25:00:       Status: None
    INFO - 17:25:00:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 17:25:00:       Number of calls to the objective function by the optimizer: 4
    INFO - 17:25:00:    Solution:
    INFO - 17:25:00:       The solution is feasible.
    INFO - 17:25:00:       Objective: -3818.589637887225
    INFO - 17:25:00:       Standardized constraints:
    INFO - 17:25:00:          reserve_fact - 0.5 = -1.0631850955178379e-10
    INFO - 17:25:00:       Design space:
    INFO - 17:25:00:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00:       | name         | lower_bound |       value       | upper_bound | type  |
    INFO - 17:25:00:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00:       | thick_panels |      1      | 3.414587193246589 |      20     | float |
    INFO - 17:25:00:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00: *** End MDOScenario execution (time: 0:00:00.028840) ***
    INFO - 17:25:00: ...  43%|████▎     | 3/7 [00:00<00:00,  8.42 it/sec, obj=-3.82e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: *** Start MDOScenario execution ***
    INFO - 17:25:00: MDOScenario
    INFO - 17:25:00:    Disciplines: Aerodynamics Mission
    INFO - 17:25:00:    MDO formulation: DisciplinaryOpt
    INFO - 17:25:00: Optimization problem:
    INFO - 17:25:00:    minimize -range(thick_airfoils)
    INFO - 17:25:00:    with respect to thick_airfoils
    INFO - 17:25:00:    subject to constraints:
    INFO - 17:25:00:       lift(thick_airfoils) == 0.5
    INFO - 17:25:00:    over the design space:
    INFO - 17:25:00:    +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00:    | name           | lower_bound | value | upper_bound | type  |
    INFO - 17:25:00:    +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00:    | thick_airfoils |      5      |   25  |      25     | float |
    INFO - 17:25:00:    +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 17:25:00: ...   0%|          | 0/5 [00:00<?, ?it]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  20%|██        | 1/5 [00:00<00:00, 497.54 it/sec, obj=-3.82e+3]
    INFO - 17:25:00:
 WARNING - 17:25:00: Optimization found no feasible point !  The least infeasible point is selected.
    INFO - 17:25:00: ...  40%|████      | 2/5 [00:00<00:00, 148.17 it/sec, obj=-4.49e+3]
    INFO - 17:25:00:
    INFO - 17:25:00:
    INFO - 17:25:00: Optimization result:
    INFO - 17:25:00:    Optimizer info:
    INFO - 17:25:00:       Status: 5
    INFO - 17:25:00:       Message: NLOPT_MAXEVAL_REACHED: Optimization stopped because maxeval (above) was reached
    INFO - 17:25:00:       Number of calls to the objective function by the optimizer: 8
    INFO - 17:25:00:    Solution:
 WARNING - 17:25:00:       The solution is not feasible.
    INFO - 17:25:00:       Objective: -4490.540174198762
    INFO - 17:25:00:       Standardized constraints:
    INFO - 17:25:00:          lift - 0.5 = 0.009181047336995207
    INFO - 17:25:00:       Design space:
    INFO - 17:25:00:       +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00:       | name           | lower_bound | value | upper_bound | type  |
    INFO - 17:25:00:       +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00:       | thick_airfoils |      5      |   5   |      25     | float |
    INFO - 17:25:00:       +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00: *** End MDOScenario execution (time: 0:00:00.019407) ***
    INFO - 17:25:00:
    INFO - 17:25:00: *** Start MDOScenario execution ***
    INFO - 17:25:00: MDOScenario
    INFO - 17:25:00:    Disciplines: Mission Structure
    INFO - 17:25:00:    MDO formulation: DisciplinaryOpt
    INFO - 17:25:00: Optimization problem:
    INFO - 17:25:00:    minimize -range(thick_panels)
    INFO - 17:25:00:    with respect to thick_panels
    INFO - 17:25:00:    subject to constraints:
    INFO - 17:25:00:       reserve_fact(thick_panels) <= 0.5
    INFO - 17:25:00:    over the design space:
    INFO - 17:25:00:    +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00:    | name         | lower_bound |       value       | upper_bound | type  |
    INFO - 17:25:00:    +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00:    | thick_panels |      1      | 3.414587193246589 |      20     | float |
    INFO - 17:25:00:    +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 17:25:00: ...   0%|          | 0/5 [00:00<?, ?it]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  20%|██        | 1/5 [00:00<00:00, 444.55 it/sec, obj=-4.5e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  40%|████      | 2/5 [00:00<00:00, 132.33 it/sec, obj=-4.5e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  60%|██████    | 3/5 [00:00<00:00, 142.00 it/sec, obj=-4.5e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  80%|████████  | 4/5 [00:00<00:00, 184.53 it/sec, obj=-4.5e+3]
    INFO - 17:25:00:
    INFO - 17:25:00:
    INFO - 17:25:00: Optimization result:
    INFO - 17:25:00:    Optimizer info:
    INFO - 17:25:00:       Status: None
    INFO - 17:25:00:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 17:25:00:       Number of calls to the objective function by the optimizer: 5
    INFO - 17:25:00:    Solution:
    INFO - 17:25:00:       The solution is feasible.
    INFO - 17:25:00:       Objective: -4503.594568762557
    INFO - 17:25:00:       Standardized constraints:
    INFO - 17:25:00:          reserve_fact - 0.5 = 4.5724135588898207e-10
    INFO - 17:25:00:       Design space:
    INFO - 17:25:00:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00:       | name         | lower_bound |       value       | upper_bound | type  |
    INFO - 17:25:00:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00:       | thick_panels |      1      | 3.256301635443915 |      20     | float |
    INFO - 17:25:00:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00: *** End MDOScenario execution (time: 0:00:00.028204) ***
    INFO - 17:25:00: ...  57%|█████▋    | 4/7 [00:00<00:00,  9.17 it/sec, obj=-4.51e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: *** Start MDOScenario execution ***
    INFO - 17:25:00: MDOScenario
    INFO - 17:25:00:    Disciplines: Aerodynamics Mission
    INFO - 17:25:00:    MDO formulation: DisciplinaryOpt
    INFO - 17:25:00: Optimization problem:
    INFO - 17:25:00:    minimize -range(thick_airfoils)
    INFO - 17:25:00:    with respect to thick_airfoils
    INFO - 17:25:00:    subject to constraints:
    INFO - 17:25:00:       lift(thick_airfoils) == 0.5
    INFO - 17:25:00:    over the design space:
    INFO - 17:25:00:    +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00:    | name           | lower_bound | value | upper_bound | type  |
    INFO - 17:25:00:    +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00:    | thick_airfoils |      5      |   5   |      25     | float |
    INFO - 17:25:00:    +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 17:25:00: ...   0%|          | 0/5 [00:00<?, ?it]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  20%|██        | 1/5 [00:00<00:00, 488.39 it/sec, obj=-4.51e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  40%|████      | 2/5 [00:00<00:00, 144.75 it/sec, obj=-3.85e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  60%|██████    | 3/5 [00:00<00:00, 208.55 it/sec, obj=-4.48e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  80%|████████  | 4/5 [00:00<00:00, 214.33 it/sec, obj=-4.51e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: ... 100%|██████████| 5/5 [00:00<00:00, 219.27 it/sec, obj=-4.51e+3]
    INFO - 17:25:00:
    INFO - 17:25:00:
    INFO - 17:25:00: Optimization result:
    INFO - 17:25:00:    Optimizer info:
    INFO - 17:25:00:       Status: None
    INFO - 17:25:00:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
    INFO - 17:25:00:       Number of calls to the objective function by the optimizer: 7
    INFO - 17:25:00:    Solution:
    INFO - 17:25:00:       The solution is feasible.
    INFO - 17:25:00:       Objective: -3854.0818034962194
    INFO - 17:25:00:       Standardized constraints:
    INFO - 17:25:00:          lift - 0.5 = 0.0
    INFO - 17:25:00:       Design space:
    INFO - 17:25:00:       +----------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00:       | name           | lower_bound |       value       | upper_bound | type  |
    INFO - 17:25:00:       +----------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00:       | thick_airfoils |      5      | 24.35677419032555 |      25     | float |
    INFO - 17:25:00:       +----------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00: *** End MDOScenario execution (time: 0:00:00.033071) ***
    INFO - 17:25:00:
    INFO - 17:25:00: *** Start MDOScenario execution ***
    INFO - 17:25:00: MDOScenario
    INFO - 17:25:00:    Disciplines: Mission Structure
    INFO - 17:25:00:    MDO formulation: DisciplinaryOpt
    INFO - 17:25:00: Optimization problem:
    INFO - 17:25:00:    minimize -range(thick_panels)
    INFO - 17:25:00:    with respect to thick_panels
    INFO - 17:25:00:    subject to constraints:
    INFO - 17:25:00:       reserve_fact(thick_panels) <= 0.5
    INFO - 17:25:00:    over the design space:
    INFO - 17:25:00:    +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00:    | name         | lower_bound |       value       | upper_bound | type  |
    INFO - 17:25:00:    +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00:    | thick_panels |      1      | 3.256301635443915 |      20     | float |
    INFO - 17:25:00:    +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 17:25:00: ...   0%|          | 0/5 [00:00<?, ?it]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  20%|██        | 1/5 [00:00<00:00, 451.49 it/sec, obj=-3.84e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  40%|████      | 2/5 [00:00<00:00, 131.57 it/sec, obj=-3.84e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  60%|██████    | 3/5 [00:00<00:00, 135.11 it/sec, obj=-3.84e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  80%|████████  | 4/5 [00:00<00:00, 170.91 it/sec, obj=Not evaluated]
    INFO - 17:25:00:
    INFO - 17:25:00:
    INFO - 17:25:00: Optimization result:
    INFO - 17:25:00:    Optimizer info:
    INFO - 17:25:00:       Status: None
    INFO - 17:25:00:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 17:25:00:       Number of calls to the objective function by the optimizer: 4
    INFO - 17:25:00:    Solution:
    INFO - 17:25:00:       The solution is feasible.
    INFO - 17:25:00:       Objective: -3843.3818346286994
    INFO - 17:25:00:       Standardized constraints:
    INFO - 17:25:00:          reserve_fact - 0.5 = -1.0020073659688933e-10
    INFO - 17:25:00:       Design space:
    INFO - 17:25:00:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00:       | name         | lower_bound |       value       | upper_bound | type  |
    INFO - 17:25:00:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00:       | thick_panels |      1      | 3.303233602238194 |      20     | float |
    INFO - 17:25:00:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00: *** End MDOScenario execution (time: 0:00:00.029409) ***
    INFO - 17:25:00: ...  71%|███████▏  | 5/7 [00:00<00:00,  9.37 it/sec, obj=-3.85e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: *** Start MDOScenario execution ***
    INFO - 17:25:00: MDOScenario
    INFO - 17:25:00:    Disciplines: Aerodynamics Mission
    INFO - 17:25:00:    MDO formulation: DisciplinaryOpt
    INFO - 17:25:00: Optimization problem:
    INFO - 17:25:00:    minimize -range(thick_airfoils)
    INFO - 17:25:00:    with respect to thick_airfoils
    INFO - 17:25:00:    subject to constraints:
    INFO - 17:25:00:       lift(thick_airfoils) == 0.5
    INFO - 17:25:00:    over the design space:
    INFO - 17:25:00:    +----------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00:    | name           | lower_bound |       value       | upper_bound | type  |
    INFO - 17:25:00:    +----------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00:    | thick_airfoils |      5      | 24.35677419032555 |      25     | float |
    INFO - 17:25:00:    +----------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 17:25:00: ...   0%|          | 0/5 [00:00<?, ?it]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  20%|██        | 1/5 [00:00<00:00, 456.90 it/sec, obj=-3.85e+3]
    INFO - 17:25:00:
 WARNING - 17:25:00: Optimization found no feasible point !  The least infeasible point is selected.
    INFO - 17:25:00: ...  40%|████      | 2/5 [00:00<00:00, 147.56 it/sec, obj=-4.49e+3]
    INFO - 17:25:00:
    INFO - 17:25:00:
    INFO - 17:25:00: Optimization result:
    INFO - 17:25:00:    Optimizer info:
    INFO - 17:25:00:       Status: 5
    INFO - 17:25:00:       Message: NLOPT_MAXEVAL_REACHED: Optimization stopped because maxeval (above) was reached
    INFO - 17:25:00:       Number of calls to the objective function by the optimizer: 8
    INFO - 17:25:00:    Solution:
 WARNING - 17:25:00:       The solution is not feasible.
    INFO - 17:25:00:       Objective: -4492.389203686935
    INFO - 17:25:00:       Standardized constraints:
    INFO - 17:25:00:          lift - 0.5 = 0.008585874882770628
    INFO - 17:25:00:       Design space:
    INFO - 17:25:00:       +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00:       | name           | lower_bound | value | upper_bound | type  |
    INFO - 17:25:00:       +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00:       | thick_airfoils |      5      |   5   |      25     | float |
    INFO - 17:25:00:       +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00: *** End MDOScenario execution (time: 0:00:00.019250) ***
    INFO - 17:25:00:
    INFO - 17:25:00: *** Start MDOScenario execution ***
    INFO - 17:25:00: MDOScenario
    INFO - 17:25:00:    Disciplines: Mission Structure
    INFO - 17:25:00:    MDO formulation: DisciplinaryOpt
    INFO - 17:25:00: Optimization problem:
    INFO - 17:25:00:    minimize -range(thick_panels)
    INFO - 17:25:00:    with respect to thick_panels
    INFO - 17:25:00:    subject to constraints:
    INFO - 17:25:00:       reserve_fact(thick_panels) <= 0.5
    INFO - 17:25:00:    over the design space:
    INFO - 17:25:00:    +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00:    | name         | lower_bound |       value       | upper_bound | type  |
    INFO - 17:25:00:    +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00:    | thick_panels |      1      | 3.303233602238194 |      20     | float |
    INFO - 17:25:00:    +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 17:25:00: ...   0%|          | 0/5 [00:00<?, ?it]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  20%|██        | 1/5 [00:00<00:00, 474.15 it/sec, obj=-4.5e+3]
    INFO - 17:25:00:
   ERROR - 17:25:00: NLopt run failed: NLopt roundoff-limited, RoundoffLimited
    INFO - 17:25:00: ...  40%|████      | 2/5 [00:00<00:00, 160.24 it/sec, obj=-4.5e+3]
    INFO - 17:25:00:
    INFO - 17:25:00:
    INFO - 17:25:00: Optimization result:
    INFO - 17:25:00:    Optimizer info:
    INFO - 17:25:00:       Status: None
    INFO - 17:25:00:       Message:  GEMSEO Stopped the driver
    INFO - 17:25:00:       Number of calls to the objective function by the optimizer: 3
    INFO - 17:25:00:    Solution:
    INFO - 17:25:00:       The solution is feasible.
    INFO - 17:25:00:       Objective: -4504.850157624369
    INFO - 17:25:00:       Standardized constraints:
    INFO - 17:25:00:          reserve_fact - 0.5 = -2.198845550083206e-10
    INFO - 17:25:00:       Design space:
    INFO - 17:25:00:       +--------------+-------------+------------------+-------------+-------+
    INFO - 17:25:00:       | name         | lower_bound |      value       | upper_bound | type  |
    INFO - 17:25:00:       +--------------+-------------+------------------+-------------+-------+
    INFO - 17:25:00:       | thick_panels |      1      | 3.26453684407339 |      20     | float |
    INFO - 17:25:00:       +--------------+-------------+------------------+-------------+-------+
    INFO - 17:25:00: *** End MDOScenario execution (time: 0:00:00.018142) ***
    INFO - 17:25:00: ...  86%|████████▌ | 6/7 [00:00<00:00,  9.97 it/sec, obj=-4.51e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: *** Start MDOScenario execution ***
    INFO - 17:25:00: MDOScenario
    INFO - 17:25:00:    Disciplines: Aerodynamics Mission
    INFO - 17:25:00:    MDO formulation: DisciplinaryOpt
    INFO - 17:25:00: Optimization problem:
    INFO - 17:25:00:    minimize -range(thick_airfoils)
    INFO - 17:25:00:    with respect to thick_airfoils
    INFO - 17:25:00:    subject to constraints:
    INFO - 17:25:00:       lift(thick_airfoils) == 0.5
    INFO - 17:25:00:    over the design space:
    INFO - 17:25:00:    +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00:    | name           | lower_bound | value | upper_bound | type  |
    INFO - 17:25:00:    +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00:    | thick_airfoils |      5      |   5   |      25     | float |
    INFO - 17:25:00:    +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 17:25:00: ...   0%|          | 0/5 [00:00<?, ?it]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  20%|██        | 1/5 [00:00<00:00, 467.12 it/sec, obj=-4.51e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  40%|████      | 2/5 [00:00<00:00, 145.82 it/sec, obj=-4.48e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  60%|██████    | 3/5 [00:00<00:00, 210.10 it/sec, obj=-4.51e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  80%|████████  | 4/5 [00:00<00:00, 216.94 it/sec, obj=-4.51e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: ... 100%|██████████| 5/5 [00:00<00:00, 221.74 it/sec, obj=-4.51e+3]
    INFO - 17:25:00:
    INFO - 17:25:00:
    INFO - 17:25:00: Optimization result:
    INFO - 17:25:00:    Optimizer info:
    INFO - 17:25:00:       Status: None
    INFO - 17:25:00:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
    INFO - 17:25:00:       Number of calls to the objective function by the optimizer: 7
    INFO - 17:25:00:    Solution:
    INFO - 17:25:00:       The solution is feasible.
    INFO - 17:25:00:       Objective: -4509.519641910823
    INFO - 17:25:00:       Standardized constraints:
    INFO - 17:25:00:          lift - 0.5 = -0.00013691255181019768
    INFO - 17:25:00:       Design space:
    INFO - 17:25:00:       +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00:       | name           | lower_bound | value | upper_bound | type  |
    INFO - 17:25:00:       +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00:       | thick_airfoils |      5      |   5   |      25     | float |
    INFO - 17:25:00:       +----------------+-------------+-------+-------------+-------+
    INFO - 17:25:00: *** End MDOScenario execution (time: 0:00:00.033158) ***
    INFO - 17:25:00:
    INFO - 17:25:00: *** Start MDOScenario execution ***
    INFO - 17:25:00: MDOScenario
    INFO - 17:25:00:    Disciplines: Mission Structure
    INFO - 17:25:00:    MDO formulation: DisciplinaryOpt
    INFO - 17:25:00: Optimization problem:
    INFO - 17:25:00:    minimize -range(thick_panels)
    INFO - 17:25:00:    with respect to thick_panels
    INFO - 17:25:00:    subject to constraints:
    INFO - 17:25:00:       reserve_fact(thick_panels) <= 0.5
    INFO - 17:25:00:    over the design space:
    INFO - 17:25:00:    +--------------+-------------+------------------+-------------+-------+
    INFO - 17:25:00:    | name         | lower_bound |      value       | upper_bound | type  |
    INFO - 17:25:00:    +--------------+-------------+------------------+-------------+-------+
    INFO - 17:25:00:    | thick_panels |      1      | 3.26453684407339 |      20     | float |
    INFO - 17:25:00:    +--------------+-------------+------------------+-------------+-------+
    INFO - 17:25:00: Solving optimization problem with algorithm NLOPT_SLSQP:
    INFO - 17:25:00: ...   0%|          | 0/5 [00:00<?, ?it]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  20%|██        | 1/5 [00:00<00:00, 479.40 it/sec, obj=-4.51e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  40%|████      | 2/5 [00:00<00:00, 132.59 it/sec, obj=-4.51e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  60%|██████    | 3/5 [00:00<00:00, 142.64 it/sec, obj=-4.51e+3]
    INFO - 17:25:00:
    INFO - 17:25:00: ...  80%|████████  | 4/5 [00:00<00:00, 185.54 it/sec, obj=-4.51e+3]
    INFO - 17:25:00:
    INFO - 17:25:00:
    INFO - 17:25:00: Optimization result:
    INFO - 17:25:00:    Optimizer info:
    INFO - 17:25:00:       Status: None
    INFO - 17:25:00:       Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO Stopped the driver
    INFO - 17:25:00:       Number of calls to the objective function by the optimizer: 5
    INFO - 17:25:00:    Solution:
    INFO - 17:25:00:       The solution is feasible.
    INFO - 17:25:00:       Objective: -4509.583287367007
    INFO - 17:25:00:       Standardized constraints:
    INFO - 17:25:00:          reserve_fact - 0.5 = 2.2632107743447705e-08
    INFO - 17:25:00:       Design space:
    INFO - 17:25:00:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00:       | name         | lower_bound |       value       | upper_bound | type  |
    INFO - 17:25:00:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00:       | thick_panels |      1      | 3.225021422872048 |      20     | float |
    INFO - 17:25:00:       +--------------+-------------+-------------------+-------------+-------+
    INFO - 17:25:00: *** End MDOScenario execution (time: 0:00:00.028096) ***
    INFO - 17:25:00: ... 100%|██████████| 7/7 [00:00<00:00, 10.02 it/sec, obj=-4.51e+3]
    INFO - 17:25:00: Optimization result:
    INFO - 17:25:00:    Optimizer info:
    INFO - 17:25:00:       Status: None
    INFO - 17:25:00:       Message: Maximum number of iterations reached. GEMSEO Stopped the driver
    INFO - 17:25:00:       Number of calls to the objective function by the optimizer: 9
    INFO - 17:25:00:    Solution:
    INFO - 17:25:00:       The solution is feasible.
    INFO - 17:25:00:       Objective: -4509.243436177998
    INFO - 17:25:00:       Standardized constraints:
    INFO - 17:25:00:          lift - 0.5 = 5.5555555820374636e-05
    INFO - 17:25:00:          reserve_fact - 0.5 = -0.1583333328503187
    INFO - 17:25:00:       Design space:
    INFO - 17:25:00:       +-------+-------------+-------+-------------+-------+
    INFO - 17:25:00:       | name  | lower_bound | value | upper_bound | type  |
    INFO - 17:25:00:       +-------+-------------+-------+-------------+-------+
    INFO - 17:25:00:       | sweep |      10     |   25  |      35     | float |
    INFO - 17:25:00:       +-------+-------------+-------+-------------+-------+
    INFO - 17:25:00: *** End MDOScenario execution (time: 0:00:00.723821) ***

<gemseo.post.opt_history_view.OptHistoryView object at 0x7fcce877ce20>

Total running time of the script: ( 0 minutes 4.928 seconds)

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