DF: Benchmark Problems for CEC2018 Competition on Dynamic Multiobjective Optimisation¶

The problem suite is implemented based on [48].

DF1¶

[1]:

import numpy as np

from pymoo.problems.dynamic.df import DF1
from pymoo.visualization.scatter import Scatter

plot = Scatter()

for t in np.linspace(0, 10.0, 100):
    problem = DF1(time=t)
    plot.add(problem.pareto_front(), plot_type="line", color="black", alpha=0.7)

plot.show()

[1]:

<pymoo.visualization.scatter.Scatter at 0x7fa6f26af6a0>

../../_images/problems_dynamic_df_5_1.png

DF2¶

[2]:

from pymoo.problems.dynamic.df import DF2

plot = Scatter()

for t in np.linspace(0, 10.0, 100):
    problem = DF2(time=t)
    plot.add(problem.pareto_front(), plot_type="line", color="black", alpha=0.7)

plot.show()

[2]:

<pymoo.visualization.scatter.Scatter at 0x7fa6f2c468b0>

../../_images/problems_dynamic_df_8_1.png

DF3¶

[3]:

from pymoo.problems.dynamic.df import DF3

plot = Scatter()

for t in np.linspace(0, 10.0, 100):
    problem = DF3(time=t)
    plot.add(problem.pareto_front(), plot_type="line", color="black", alpha=0.7)

plot.show()

[3]:

<pymoo.visualization.scatter.Scatter at 0x7fa6f3112d90>

../../_images/problems_dynamic_df_11_1.png

DF4¶

[4]:

from pymoo.problems.dynamic.df import DF4

plot = Scatter()

for t in np.linspace(0, 10.0, 100):
    problem = DF4(time=t)
    plot.add(problem.pareto_front() + 2*t, plot_type="line", color="black", alpha=0.7)

plot.show()

[4]:

<pymoo.visualization.scatter.Scatter at 0x7fa6f2bfda30>

../../_images/problems_dynamic_df_14_1.png

DF5¶

[5]:

from pymoo.problems.dynamic.df import DF5

plot = Scatter()

for t in np.linspace(0, 2.0, 100):
    problem = DF5(time=t)
    plot.add(problem.pareto_front(n_pareto_points=300) + 2*t, plot_type="line", color="black", alpha=0.7)

plot.show()

[5]:

<pymoo.visualization.scatter.Scatter at 0x7fa6f3cacd00>

../../_images/problems_dynamic_df_17_1.png

DF6¶

[6]:

from pymoo.problems.dynamic.df import DF6

plot = Scatter()

for t in np.linspace(0, 2.0, 100):
    problem = DF6(time=t)
    plot.add(problem.pareto_front(), plot_type="line", color="black", alpha=0.7)

plot.show()

[6]:

<pymoo.visualization.scatter.Scatter at 0x7fa6eea16610>

../../_images/problems_dynamic_df_20_1.png

DF7¶

[7]:

from pymoo.problems.dynamic.df import DF7

plot = Scatter()

for t in np.linspace(0, 1.0, 20):
    problem = DF7(time=t)
    plot.add(problem.pareto_front() + 2*t, plot_type="line", color="black", alpha=0.7)

plot.show()

[7]:

<pymoo.visualization.scatter.Scatter at 0x7fa6f411ac70>

../../_images/problems_dynamic_df_23_1.png

DF8¶

[8]:

from pymoo.problems.dynamic.df import DF8

plot = Scatter()

for t in np.linspace(0, 2.0, 20):
    problem = DF8(time=t)
    plot.add(problem.pareto_front() + 4*t, plot_type="line", color="black", alpha=0.7)

plot.show()

[8]:

<pymoo.visualization.scatter.Scatter at 0x7fa6f4595610>

../../_images/problems_dynamic_df_26_1.png

DF9¶

[9]:

from pymoo.problems.dynamic.df import DF9

plot = Scatter()

for t in np.linspace(0, 2.0, 20):
    problem = DF9(time=t)
    plot.add(problem.pareto_front() + 2*t, plot_type="line", color="black", alpha=0.7)

plot.show()

[9]:

<pymoo.visualization.scatter.Scatter at 0x7fa6f47a8b50>

../../_images/problems_dynamic_df_29_1.png

DF10¶

[10]:

from pymoo.problems.dynamic.df import DF10
import matplotlib.pyplot as plt

for t in [0.0, 1.0, 1.5, 2.0]:

    plot = Scatter()
    problem = DF10(time=t)
    plot.add(problem.pareto_front() + 2*t, plot_type="line", color="black", alpha=0.7)
    plot.do()
    plt.show()

print("DONE")

../../_images/problems_dynamic_df_31_0.png

../../_images/problems_dynamic_df_31_1.png

../../_images/problems_dynamic_df_31_2.png

../../_images/problems_dynamic_df_31_3.png

DONE

DF11¶

[11]:

from pymoo.problems.dynamic.df import DF11
import matplotlib.pyplot as plt

for t in [0.0, 1.0, 1.5, 2.0]:

    plot = Scatter()
    problem = DF11(time=t)
    plot.add(problem.pareto_front() + 2*t, plot_type="line", color="black", alpha=0.7)
    plot.do()
    plt.show()

print("DONE")

../../_images/problems_dynamic_df_33_0.png

../../_images/problems_dynamic_df_33_1.png

../../_images/problems_dynamic_df_33_2.png

../../_images/problems_dynamic_df_33_3.png

DONE

DF12¶

[12]:

from pymoo.problems.dynamic.df import DF12
import matplotlib.pyplot as plt

for t in [0.0, 0.1, 0.2]:

    plot = Scatter()
    problem = DF12(time=t)
    plot.add(problem.pareto_front() + 2*t, color="black", alpha=0.7)
    plot.do()
    plt.show()

print("DONE")

../../_images/problems_dynamic_df_35_0.png

../../_images/problems_dynamic_df_35_1.png

../../_images/problems_dynamic_df_35_2.png

DONE

DF13¶

[13]:

from pymoo.problems.dynamic.df import DF13
import matplotlib.pyplot as plt

for t in [0.0, 0.2, 0.3, 0.4]:

    plot = Scatter()
    problem = DF13(time=t)
    plot.add(problem.pareto_front() + 2*t, color="black", alpha=0.7)
    plot.do()
    plt.show()

print("DONE")

../../_images/problems_dynamic_df_37_0.png

../../_images/problems_dynamic_df_37_1.png

../../_images/problems_dynamic_df_37_2.png

../../_images/problems_dynamic_df_37_3.png

DONE

DF14¶

[14]:

from pymoo.problems.dynamic.df import DF14
import matplotlib.pyplot as plt

for t in [0.0, 0.2, 0.5, 1.0]:

    plot = Scatter()
    problem = DF13(time=t)
    plot.add(problem.pareto_front() + 2*t, color="black", alpha=0.7)
    plot.do()
    plt.show()

print("DONE")

../../_images/problems_dynamic_df_39_0.png

../../_images/problems_dynamic_df_39_1.png

../../_images/problems_dynamic_df_39_2.png

../../_images/problems_dynamic_df_39_3.png

DONE