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基于两阶段的民转军运输机军用装备载重平衡优化
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V271.2; O221

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国家自然科学基金(52074309,72461013)


A Load Balance Optimization for Civil-to-Military Transport Aircraft Military Equipment Based on Two-Stage
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    摘要:

    为深入挖掘民航货运运输机装载军用装备的潜力,提高快速响应作战需求的能力,为作战成功提供必要的军用装备和各类保障物资,研究了民转军运输机的载重平衡问题。为准确获取军用装备在运输机货舱中的装载位置及方向,选取了民航宽体货运飞机B747-400F改装机型为研究对象,利用两阶段分解策略,基于二维切割理论,将运输机货舱视为一块矩形板,待运载的军用装备视为多个长宽不同的矩形块,建立了一种二维几何模型与运输机载重平衡相融合的优化模型。在二维几何位置约束模型中,考虑了军用装备两两间位置不重叠且保持一定间距、不超货舱边界、可正交旋转的限制。在载重平衡优化模型中以重心偏差最小和装载量最大为目标函数,考虑了运输机重量、业载、重心、货舱累积载荷、线性载荷、面积载荷等限制。设计了Benders分解算法,将含有复杂约束问题的载重平衡优化模型,分解为位置分配的主问题和重量平衡检查的子问题。使用Gurobi求解了两种算例场景用于验证模型。结果表明:所建模型和算法可在合理的重心下快速有效确定军用装备的装载位置和方向,提高了装载量,为实现智能装载提供了参考和借鉴。

    Abstract:

    In order to explore all the possibilities of civil cargo transport aircraft for loading military equipment, improve the ability to respond quickly to the needs of operations, and provide the necessary military equipment and various types of protective materials for operational success, weight and balance problems of civil-to-military transport aircraft are studied. To determine the loading position and orientation of military equipment in the cargo hold of an aircraft, the civil wide-body freight aircraft B747-400F modified model is selected as the research object. An optimization model that integrates a two-dimensional geometric model with the load balance of transport aircraft is established by utilizing a two-stage decomposition strategy based on the two-dimensional cutting theory in consideration of the cargo hold of the transport aircraft as a rectangular plate, and military equipment as multiple rectangular items with varying lengths and widths. In the two-dimensional geometric position constraint model, constraints are considered for the non-overlapping positions of military equipment, maintaining a certain distance, not exceeding the cargo hold boundaries, and the possibility of orthogonal rotation. In the load balance optimization model, the objective function is to minimize the center of gravity (CG) deviation and maximize the payload in consideration of constraints such as the transport aircraft’s weight, payload, CG, cargo hold cumulative load, linear load, and area load. A Benders decomposition algorithm is designed to decompose the load balance optimization model with complex issues containment into a master problem in position allocation and a subproblem for weight balance checking. Gurobi is used to solve two example scenarios for model verification. The results indicate that the established model and the algorithm can quickly effectively determine the loading position and the orientation of military equipment under a reasonable CG, improving the payload, and providing references and insights for intelligent loading.

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李云飞, 徐吉辉, 吴文君, 赵向领, 张传龙.基于两阶段的民转军运输机军用装备载重平衡优化[J].空军工程大学学报,2025,26(3):42-51

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  • 在线发布日期: 2025-06-04
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