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航空复材热压成型制造并行机调度模型与算法

郑绍祥, 谢乃明, 吴乔   

  1. 昆明理工大学管理与经济学院,
  • 收稿日期:2023-10-25 修回日期:2026-01-02 接受日期:2026-01-17
  • 通讯作者: 谢乃明
  • 基金资助:
    国家自然科学基金(71671090); 国家自然科学基金(71871117); 国家自然科学基金(72171116)

Model and algorithm for parallel batch-processing machines scheduling problem in aerospace composite materials manufacturing

  1. , ,
  • Received:2023-10-25 Revised:2026-01-02 Accepted:2026-01-17

摘要: 针对航空复合材料热压成型制造问题, 解构并提炼出并行机环境下考虑二维空间特征的批调度问题. 针对航空复合材料制造的特点, 考虑了类别的兼容性特征, 并以最大完工时间最小为目标, 提出了消除对称性的二维并行机批调度模型. 此外, 提出了迭代式近似搜索算法求解该问题. 该算法结合了启发式和精确式算法, 在迭代过程中基于精确式方法不断寻找目标值更优的可行解, 且兼顾求解效率和精度. 通过仿真实验设计的不同特征的算例, 展现了该模型远超经典并行机批调度模型的求解效率, 还进一步比较了模型和算法的求解效率和精度, 从而验证了两者在求解不同特征的算例上的优越性.

关键词: 航空复合材料制造, 热压成型工序, 批调度, 混合整数规划模型, 数学启发式

Abstract: This paper addressed the autoclave molding scheduling problem in aerospace composite materials manufacturing to identify the parallel batch-processing machines scheduling problem with two-dimensional constraints, developed a novel mathematical formulation that eliminates symmetry and minimizes the makespan to define the problem, and also proposed an iterative approximation search algorithm to handle the problem. The algorithm combines heuristic and exact algorithms to find a feasible solution with a better objective value through an iterative process which employs an exact method so that it can solve the problem with efficiency and effectiveness. In terms of the execution on different randomly generated instances, the results show that the presented model is much more efficient than the classic one, and the model and the algorithm have superiority in solving the problem.

Key words: Aerospace composite materials manufacturing, autoclave molding process, batch machine scheduling, mixed-integer programming, matheuristic