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    Area of Science:

    • Artificial Intelligence
    • Computational Optimization

    Background:

    • Cooperative co-evolutionary algorithms excel at large-scale problems but struggle with nonseparable problems featuring overlapping subcomponents.
    • Shared variables in these problems hinder decomposition, and existing frameworks fail to balance cooperation frequency and resource allocation for overlapping parts.

    Purpose of the Study:

    • To propose a novel contribution-based cooperative co-evolutionary algorithm for effective and efficient optimization of nonseparable large-scale problems with overlapping subcomponents.
    • To address the challenges of shared variable decomposition and maintaining crucial optimization factors.

    Main Methods:

    • A contribution-based decomposition method assigns shared variables to the subcomponent with the highest overall problem contribution.
    • A new contribution-based optimization framework utilizes a round-robin structure to prioritize important subcomponents, ensuring high cooperation frequency and efficient resource allocation.

    Main Results:

    • The proposed algorithm demonstrates significantly superior performance compared to state-of-the-art methods.
    • Effective grouping structures and accelerated optimization speeds were key factors in the improved performance.

    Conclusions:

    • The novel contribution-based approach offers an effective solution for decomposing and optimizing nonseparable large-scale problems with overlapping subcomponents.
    • The algorithm successfully balances cooperation and resource allocation, leading to enhanced optimization efficiency and effectiveness.