KGB-DMOEA: Knowledge-Guided Bayesian Dynamic Multi-Objective Evolutionary Algorithm

KGB-DMOEA is a sophisticated evolutionary algorithm for dynamic multi-objective optimization problems (DMOPs). It employs a knowledge-guided Bayesian classification approach to adeptly navigate and adapt to changing Pareto-optimal solutions in dynamic environments. This algorithm utilizes past search experiences, distinguishing them as beneficial or non-beneficial, to effectively direct the search in new scenarios.

Key Features

  • Knowledge Reconstruction-Examination (KRE): Dynamically re-evaluates historical optimal solutions based on their relevance and utility in the current environment.

  • Bayesian Classification: Employs a Naive Bayesian Classifier to forecast high-quality initial populations for new environments.

  • Adaptive Strategy: Incorporates dynamic parameter adjustment for optimized performance across varying dynamic contexts.

[1]:
from pymoo.algorithms.moo.kgb import KGB
from pymoo.core.callback import CallbackCollection
from pymoo.optimize import minimize
from pymoo.problems.dyn import TimeSimulation
from pymoo.problems.dynamic.df import DF1

from pymoo.visualization.video.callback_video import ObjectiveSpaceAnimation

problem = DF1(taut=2, n_var=2)

algorithm = KGB()

res = minimize(problem,
               algorithm,
               termination=('n_gen', 10),
               callback=TimeSimulation(),
               seed=1,
               verbose=False)

Parameters

  • perc_detect_change (float, optional): Proportion of the population used to detect environmental changes.

  • perc_diversity (float, optional): Proportion of the population allocated for introducing diversity.

  • c_size (int, optional): Cluster size.

  • eps (float, optional): Threshold for detecting changes. Default:

  • pertub_dev (float, optional): Deviation for perturbation in diversity introduction.

References

Yulong Ye, Lingjie Li, Qiuzhen Lin, Ka-Chun Wong, Jianqiang Li, Zhong Ming. “A knowledge guided Bayesian classification for dynamic multi-objective optimization”. Knowledge-Based Systems, Volume 251, 2022.