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An Iterated Greedy Heuristic for Mixed No-Wait Flowshop Problems.

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    This study introduces a novel iterated greedy algorithm for the mixed no-wait flowshop problem, optimizing production schedules. The new algorithm significantly outperforms existing methods in minimizing makespan for complex manufacturing scenarios.

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    Area of Science:

    • Operations Research
    • Industrial Engineering
    • Manufacturing Systems

    Background:

    • The mixed no-wait flowshop problem combines traditional flowshop and no-wait constraints, presenting complex scheduling challenges.
    • This problem is a generalization of permutation flowshop and no-wait flowshop, with broad real-world applicability in manufacturing and logistics.

    Purpose of the Study:

    • To address the makespan minimization objective for the mixed no-wait flowshop problem.
    • To develop and evaluate an efficient algorithmic approach for this complex scheduling problem.

    Main Methods:

    • A mathematical model was formulated for the mixed no-wait flowshop problem.
    • A speed-up makespan calculation procedure was designed.
    • A modified iterated greedy algorithm was developed, incorporating initialization, destruction, reconstruction, and local search components.
    • Insertion heuristics were applied during solution construction and reconstruction phases to enhance intensification.

    Main Results:

    • The proposed iterated greedy algorithm demonstrated superior performance compared to five existing algorithms.
    • The algorithm achieved the best results on adapted Taillard benchmark instances for makespan minimization.
    • Parameter calibration and component analysis confirmed the effectiveness of the proposed method.

    Conclusions:

    • The developed iterated greedy algorithm is highly effective for makespan minimization in mixed no-wait flowshop scheduling.
    • This research provides a valuable contribution to solving complex scheduling problems with practical industrial implications.