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A Knowledge-Based Two-Population Optimization Algorithm for Distributed Energy-Efficient Parallel Machines

Zixiao Pan, Deming Lei, Ling Wang

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    This study introduces a new algorithm for the distributed energy-efficient parallel machines scheduling problem (DEPMSP). The proposed knowledge-based two-population optimization (KTPO) algorithm effectively minimizes energy consumption and tardiness.

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    Area of Science:

    • Operations Research
    • Computer Science
    • Industrial Engineering

    Background:

    • Distributed scheduling and energy-efficient scheduling are critical research areas.
    • The integration of these problems, known as distributed energy-efficient scheduling, presents significant practical importance.
    • The distributed energy-efficient parallel machines scheduling problem (DEPMSP) remains an understudied area.

    Purpose of the Study:

    • To address the novel distributed energy-efficient parallel machines scheduling problem (DEPMSP).
    • To develop an effective algorithm for minimizing both total energy consumption and total tardiness simultaneously.
    • To integrate factory and machine assignment subproblems into a unified framework.

    Main Methods:

    • A knowledge-based two-population optimization (KTPO) algorithm is proposed.
    • The algorithm integrates factory and machine assignment using an extended machine assignment approach.
    • KTPO employs a hybrid approach combining nondominated sorting genetic algorithm-II and differential evolution, enhanced by knowledge-based local search operators.
    • Population initialization utilizes problem-specific knowledge-based and random heuristics.

    Main Results:

    • Extensive simulations demonstrate the effectiveness of the KTPO algorithm.
    • Comparative analysis shows KTPO outperforms existing algorithms in solving DEPMSP.
    • Statistical analysis confirms the advantages of KTPO in minimizing energy consumption and tardiness.

    Conclusions:

    • The proposed KTPO algorithm is effective for solving the distributed energy-efficient parallel machines scheduling problem (DEPMSP).
    • KTPO offers a viable solution for simultaneously minimizing energy consumption and tardiness in distributed manufacturing environments.
    • The integration of factory and machine assignment strategies enhances scheduling efficiency.