Note
Click here to download the full example code
Gantt Chart¶
In this example, we illustrate the use of the Gantt chart plot on the Sobieski’s SSBJ problem.
Import¶
The first step is to import some functions from the API and a method to get the design space.
from __future__ import division, unicode_literals
from matplotlib import pyplot as plt
from gemseo.api import configure_logger, create_discipline, create_scenario
from gemseo.core.discipline import MDODiscipline
from gemseo.post.core.gantt_chart import create_gantt_chart
from gemseo.problems.sobieski.core import SobieskiProblem
configure_logger()
Out:
<RootLogger root (INFO)>
Create disciplines¶
Then, we instantiate the disciplines of the Sobieski’s SSBJ problem: Propulsion, Aerodynamics, Structure and Mission
disciplines = create_discipline(
[
"SobieskiPropulsion",
"SobieskiAerodynamics",
"SobieskiStructure",
"SobieskiMission",
]
)
Create design space¶
We also read the design space from the SobieskiProblem
.
design_space = SobieskiProblem().read_design_space()
Create and execute scenario¶
The next step is to build an MDO scenario in order to maximize the range, encoded ‘y_4’, with respect to the design parameters, while satisfying the inequality constraints ‘g_1’, ‘g_2’ and ‘g_3’. We can use the MDF formulation, the SLSQP optimization algorithm and a maximum number of iterations equal to 100.
scenario = create_scenario(
disciplines,
formulation="MDF",
objective_name="y_4",
maximize_objective=True,
design_space=design_space,
)
for constraint in ["g_1", "g_2", "g_3"]:
scenario.add_constraint(constraint, "ineq")
Activate time stamps¶
In order to record all time stamps recording, we have to call this method before the execution of the scenarios
MDODiscipline.activate_time_stamps()
scenario.execute({"algo": "SLSQP", "max_iter": 10})
Out:
INFO - 14:41:56:
INFO - 14:41:56: *** Start MDO Scenario execution ***
INFO - 14:41:56: MDOScenario
INFO - 14:41:56: Disciplines: SobieskiPropulsion SobieskiAerodynamics SobieskiStructure SobieskiMission
INFO - 14:41:56: MDOFormulation: MDF
INFO - 14:41:56: Algorithm: SLSQP
INFO - 14:41:56: Optimization problem:
INFO - 14:41:56: Minimize: -y_4(x_shared, x_1, x_2, x_3)
INFO - 14:41:56: With respect to: x_shared, x_1, x_2, x_3
INFO - 14:41:56: Subject to constraints:
INFO - 14:41:56: g_1(x_shared, x_1, x_2, x_3) <= 0.0
INFO - 14:41:56: g_2(x_shared, x_1, x_2, x_3) <= 0.0
INFO - 14:41:56: g_3(x_shared, x_1, x_2, x_3) <= 0.0
INFO - 14:41:56: Design space:
INFO - 14:41:56: +----------+-------------+-------+-------------+-------+
INFO - 14:41:56: | name | lower_bound | value | upper_bound | type |
INFO - 14:41:56: +----------+-------------+-------+-------------+-------+
INFO - 14:41:56: | x_shared | 0.01 | 0.05 | 0.09 | float |
INFO - 14:41:56: | x_shared | 30000 | 45000 | 60000 | float |
INFO - 14:41:56: | x_shared | 1.4 | 1.6 | 1.8 | float |
INFO - 14:41:56: | x_shared | 2.5 | 5.5 | 8.5 | float |
INFO - 14:41:56: | x_shared | 40 | 55 | 70 | float |
INFO - 14:41:56: | x_shared | 500 | 1000 | 1500 | float |
INFO - 14:41:56: | x_1 | 0.1 | 0.25 | 0.4 | float |
INFO - 14:41:56: | x_1 | 0.75 | 1 | 1.25 | float |
INFO - 14:41:56: | x_2 | 0.75 | 1 | 1.25 | float |
INFO - 14:41:56: | x_3 | 0.1 | 0.5 | 1 | float |
INFO - 14:41:56: +----------+-------------+-------+-------------+-------+
INFO - 14:41:56: Optimization: 0%| | 0/10 [00:00<?, ?it]
INFO - 14:41:56: Optimization: 10%|█ | 1/10 [00:00<00:00, 82.79 it/sec]
/home/docs/checkouts/readthedocs.org/user_builds/gemseo/conda/3.2.2/lib/python3.8/site-packages/scipy/sparse/linalg/dsolve/linsolve.py:407: SparseEfficiencyWarning: splu requires CSC matrix format
warn('splu requires CSC matrix format', SparseEfficiencyWarning)
INFO - 14:41:56: Optimization: 20%|██ | 2/10 [00:00<00:00, 32.30 it/sec, obj=2.12e+3]
INFO - 14:41:56: Optimization: 30%|███ | 3/10 [00:00<00:00, 18.03 it/sec, obj=3.79e+3]
INFO - 14:41:56: Optimization: 40%|████ | 4/10 [00:00<00:00, 12.99 it/sec, obj=3.97e+3]
INFO - 14:41:57: Optimization: 50%|█████ | 5/10 [00:00<00:00, 10.18 it/sec, obj=3.96e+3]
INFO - 14:41:57: Optimization: 60%|██████ | 6/10 [00:01<00:00, 8.38 it/sec, obj=3.96e+3]
INFO - 14:41:57: Optimization: 70%|███████ | 7/10 [00:01<00:00, 7.10 it/sec, obj=3.96e+3]
INFO - 14:41:57: Optimization: 80%|████████ | 8/10 [00:01<00:00, 6.44 it/sec, obj=3.96e+3]
INFO - 14:41:57: Optimization: 90%|█████████ | 9/10 [00:01<00:00, 5.88 it/sec, obj=3.96e+3]
INFO - 14:41:57: Optimization: 100%|██████████| 10/10 [00:01<00:00, 5.42 it/sec, obj=3.96e+3]
INFO - 14:41:57: Optimization: 100%|██████████| 10/10 [00:01<00:00, 5.41 it/sec, obj=3.96e+3]
INFO - 14:41:57: Optimization result:
INFO - 14:41:57: Objective value = 3963.595455433326
INFO - 14:41:57: The result is feasible.
INFO - 14:41:57: Status: None
INFO - 14:41:57: Optimizer message: Maximum number of iterations reached. GEMSEO Stopped the driver
INFO - 14:41:57: Number of calls to the objective function by the optimizer: 12
INFO - 14:41:57: Constraints values:
INFO - 14:41:57: g_1 = [-0.01814919 -0.03340982 -0.04429875 -0.05187486 -0.05736009 -0.13720854
INFO - 14:41:57: -0.10279146]
INFO - 14:41:57: g_2 = 3.236261671801799e-05
INFO - 14:41:57: g_3 = [-7.67067574e-01 -2.32932426e-01 -9.19662628e-05 -1.83255000e-01]
INFO - 14:41:57: Design space:
INFO - 14:41:57: +----------+-------------+--------------------+-------------+-------+
INFO - 14:41:57: | name | lower_bound | value | upper_bound | type |
INFO - 14:41:57: +----------+-------------+--------------------+-------------+-------+
INFO - 14:41:57: | x_shared | 0.01 | 0.0600080906541795 | 0.09 | float |
INFO - 14:41:57: | x_shared | 30000 | 60000 | 60000 | float |
INFO - 14:41:57: | x_shared | 1.4 | 1.4 | 1.8 | float |
INFO - 14:41:57: | x_shared | 2.5 | 2.5 | 8.5 | float |
INFO - 14:41:57: | x_shared | 40 | 70 | 70 | float |
INFO - 14:41:57: | x_shared | 500 | 1500 | 1500 | float |
INFO - 14:41:57: | x_1 | 0.1 | 0.3999993439500847 | 0.4 | float |
INFO - 14:41:57: | x_1 | 0.75 | 0.75 | 1.25 | float |
INFO - 14:41:57: | x_2 | 0.75 | 0.75 | 1.25 | float |
INFO - 14:41:57: | x_3 | 0.1 | 0.156230376400943 | 1 | float |
INFO - 14:41:57: +----------+-------------+--------------------+-------------+-------+
INFO - 14:41:57: *** MDO Scenario run terminated in 0:00:01.861440 ***
{'algo': 'SLSQP', 'max_iter': 10}
Post-process scenario¶
Lastly, we plot the Gantt chart.
create_gantt_chart(show=False, save=False)
# Workaround for HTML rendering, instead of ``show=True``
plt.show()
# Finally, we deactivate the time stamps for other executions
MDODiscipline.deactivate_time_stamps()
Out:
/home/docs/checkouts/readthedocs.org/user_builds/gemseo/conda/3.2.2/lib/python3.8/site-packages/gemseo/post/core/gantt_chart.py:92: UserWarning: FixedFormatter should only be used together with FixedLocator
ax.set_yticklabels(disc_names)
Total running time of the script: ( 0 minutes 2.185 seconds)