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融合毁伤特征的火力资源优化分配算法

王露1,晏江1,尹鹏1,2,刘彦1,2*(),黄风雷1   

  1. (1. 北京理工大学 爆炸科学与安全防护全国重点实验室,北京 100081;2.北京理工大学长三角研究院,浙江 嘉兴 314000)
  • 收稿日期:2024-10-18 修回日期:2025-02-12
  • 通讯作者: *邮箱:liuyan@bit.edu.cn

Research on the optimal allocation algorithm of firepower resources based on the characteristics of damage

WANG Lu1, YAN Jiang1, YIN Peng1,2, LIU Yan1,2*(), HUANG Fenglei1   

  1. (1. State Key Laboratory of Explosion Science and Safety Protection, Beijing Institute of Technology, Beijing 100081, China; 2. Yangtze Delta Region Academy, Beijing Institute of Technology, Jiaxing 314000, Zhejiang, China)
  • Received:2024-10-18 Revised:2025-02-12

摘要: 针对火力资源分配维度高、多约束、不连续的求解难题,综合考虑毁伤效能、拦截概率、突防概率、弹药数量、目标毁伤等级等约束条件,基于最小化导弹使用数量、弹道交叉、被拦截概率和最大化打击时效性等四个火力资源分配指标,构建火力资源分配目标函数。从毁伤评估的角度,创新性地设计毁伤特征,包含打击时效性、综合发射能力、火力覆盖能力、火力突防能力等四个作战区特征和总数量需求、总成本需求、毁伤等级满足能力、毁伤方案效费比、火力可达性等五个毁伤方案特征,基于此搭建融合毁伤特征的适应度评估模型,该模型可用于获取高质量的初始解,大大提升了算法优化效率,并且可以解决任意维度的火力资源分配问题。进一步使用高效邻域搜索的启发式算法求得火力资源分配问题最优解,在模拟案例上进行的四组实验结果表明,包含60个作战区的大规模案例均在6秒内得到优解,并且表现优化后弹道交叉率不受作战规模的影响,当作战区数量为目标数量两倍时,在40个作战区规模以内的案例中均可以实现毫秒级求解,体现了该算法较强的鲁棒性、合理性和高效性。

关键词: 毁伤特征提取, 火力分配, 启发式算法, 毁伤评估

Abstract: In order to solve the problem of high dimensionality, multiple constraints and discontinuity of firepower resource allocation, this paper comprehensively considers the constraints such as damage efficiency, interception probability, penetration probability, number of ammunition, target damage level, etc., and constructs the firepower resource allocation objective function based on four firepower resource allocation indicators, including minimizing the number of missiles used, ballistic crossing, interception probability and maximizing strike timeliness. From the perspective of damage assessment, this paper innovatively designs the damage characteristics of four combat zones, including strike timeliness, comprehensive launch capability, firepower coverage capability, and firepower penetration capability, and the damage characteristics of five damage scheme features, including total quantity requirement, total cost requirement, damage level satisfaction ability, damage scheme cost-effectiveness ratio, and fire accessibility, and builds a fitness evaluation model that integrates damage features, which can be used to obtain high-quality initial solutions, greatly improve the optimization efficiency of the algorithm, and can solve the problem of firepower resource allocation in any dimension. Furthermore, the heuristic algorithm of efficient neighborhood search is used to obtain the optimal solution of the firepower resource allocation scheme , and the results of four sets of experiments on the simulated case show that the large-scale cases containing 60 combat zones are optimally solved within 6 seconds, and the ballistic crossing rate after performance optimization is not affected by the combat scale, and when the number of combat zones is twice the target number, the millisecond-level solution can be achieved in the cases within the scale of 40 combat zones, which reflects the strong robustness, rationality and efficiency of the algorithm.

Key words: damage feature extraction, firepower planning, heuristic algorithm, damage assessment

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