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    This study introduces a novel multitask generative hyperheuristic approach using genetic programming (GP). The method enhances heuristic generation for scheduling problems, demonstrating significant improvements and mutual task assistance.

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    Area of Science:

    • Artificial Intelligence
    • Operations Research
    • Computer Science

    Background:

    • Evolutionary multitask learning excels at handling multiple tasks simultaneously.
    • Hyperheuristics aim to generate general problem-solving heuristics, unlike specific task solvers.
    • Existing multitask hyperheuristics are limited to heuristic selection, not generation.

    Purpose of the Study:

    • To propose a novel multitask generative hyperheuristic approach using genetic programming (GP).
    • To adapt evolutionary multitask learning principles to GP-based hyperheuristics for heuristic generation.
    • To address the gap in applying multitask learning to hyperheuristic generation.

    Main Methods:

    • Developed a novel multitask generative hyperheuristic framework based on genetic programming (GP).
    • Introduced an evolutionary framework and selection pressure suitable for multitask GP hyperheuristics.
    • Implemented an origin-based offspring reservation strategy to preserve individual quality across tasks.

    Main Results:

    • The proposed approach significantly improved the quality of scheduling heuristics across various multitask dynamic flexible job shop scheduling scenarios.
    • Empirical studies confirmed the effectiveness on both homogeneous and heterogeneous problem instances.
    • Evolved heuristics demonstrated positive transfer and mutual assistance among tasks within the multitask setting.

    Conclusions:

    • The novel multitask generative hyperheuristic approach effectively enhances heuristic generation for complex scheduling problems.
    • The method facilitates mutual learning and improvement across multiple related tasks.
    • This work opens new avenues for applying evolutionary multitask learning in the hyperheuristic domain.