面向时序协同的两波次导弹齐射发射车路径规划方法

冯杭; 龚政; 梅丹; 瞿勇

doi:10.12382/bgxb.2025.0739

您当前的位置：

首页 >

文章列表页 >

面向时序协同的两波次导弹齐射发射车路径规划方法

更新时间：2026-06-16

- 面向时序协同的两波次导弹齐射发射车路径规划方法
- Path Planning Method of Missile Launch Vehicles for Two Rounds of Missile Salvo Based on Temporal Coordination
- 兵工学报 2026年47卷第5期页码：250739
- 作者机构：
  
  海军工程大学基础部，湖北武汉 430033
  海军工程大学电磁能技术全国重点实验室，湖北武汉 430033
- 作者简介：
  
  通信作者邮箱：1298336277@qq.com
- 基金信息：
  
  国家自然科学基金(51977216)
- DOI：10.12382/bgxb.2025.0739
  中图分类号： O221.4
- 收稿：2025-08-15，
  
  网络首发：2026-03-02，
  
  纸质出版：2026-05
- 稿件说明：
移动端阅览
冯杭, 龚政, 梅丹, 等. 面向时序协同的两波次导弹齐射发射车路径规划方法[J]. 兵工学报, 2026,47(5):250739.

FENG Hang, GONG Zheng, MEI Dan, et al. Path Planning Method of Missile Launch Vehicles for Two Rounds of Missile Salvo Based on Temporal Coordination[J]. Acta Armamentarii, 2026, 47(5): 250739.
冯杭, 龚政, 梅丹, 等. 面向时序协同的两波次导弹齐射发射车路径规划方法[J]. 兵工学报, 2026,47(5):250739. DOI： 10.12382/bgxb.2025.0739.

FENG Hang, GONG Zheng, MEI Dan, et al. Path Planning Method of Missile Launch Vehicles for Two Rounds of Missile Salvo Based on Temporal Coordination[J]. Acta Armamentarii, 2026, 47(5): 250739. DOI： 10.12382/bgxb.2025.0739.

摘要

针对两波次导弹齐射任务中多类型发射装置的火力分配、路径规划及冲突消解核心难题，以最小化整体暴露时间为优化目标，提出

“

整体建模-约束松弛-动态调整

”

分层优化策略。通过Floyd算法预处理差异化路网中不同类型装置的最短时间矩阵，构建0-1整数规划模型统筹多波次资源约束，同步确定发射点位、转载地域分配及机动路径，后续结合优先级导向会车规则动态调整通行时序以消解冲突。算例验证表明，与传统两

阶段法相比，该方法使整体暴露时间降低20.96%，且求解耗时仅3s。研究结果有效提升了导弹部队作战响应效率与生存能力，为两波次齐射任务的资源配置与路径规划提供了科学决策支持。

Abstract

To address the core challenges of firepower allocation，path planning and conflict resolution for multiple types of launchers in two rounds of missile salvo，a hierarchical optimization strategy of integrated modeling-constraint relaxation-dynamic adjustment is proposed with the optimization objective of minimizing the overall exposure time. A 0-1 integer programming model is constructed to coordinate multi-wave resource constraints by using the Floyd algorithm to preprocess the shortest-time matrices for different launchers in differentiated road networks. This model simultaneously determines the launch positions，transfer area allocations，and maneuvering paths. Subsequently，traffic timing is dynamically adjusted using the priority-driven passing rules to resolve conflicts. Numerical results demonstrate that compared with the conventional two-stage method，the proposed approach reduces the total exposure time by 20.96% with a solution time of only 3 seconds. The research results effectively enhance the operational responsiveness and survivability of missile units，providing scientific decision support for resource allocation and path planning in two rounds of salvo missions.

关键词

Keywords

references

惠耀洛,许波,李秀敏,等. 导弹集群智能突防技术发展概述[J]. 现代防御技术, 2025, 53(6): 69-81.

HUIYL, XU B, LI X M, et al. A review of development of intelligent penetration technology for missile cluster[J]. Modern Defense Technology, 2025, 53(6): 69-81.(in Chinese)

曹志慧. 面向反舰导弹智能作战决策的深度强化学习算法研究[D]. 哈尔滨:哈尔滨工业大学, 2023.

CAO Z H. Deep reinforcement learning algorithm for intelligent operation decision-making of anti-ship missiles [D]. Harbin: Harbin Institute of Technology, 2023.(in Chinese)

卫旭芳,花文涛,张欢. 基于杀伤链分析的协同作战效能评估[J]. 航空科学技术, 2025, 36(7): 87-95.

WEI X F, HUA W T, ZHANG H. Effectiveness evaluation of missile group operations based on kill chain analysis [J]. Aeronautical Science & Technology, 2025, 36(7): 87-95.(in Chinese)

殷广川,刘人毓,夏灏,等. 基于网络信息体系的有人-无人协同指挥控制[J/OL]. 指挥控制与仿真, 2025(2025-06-19).https://link.cnki.net/urlid/32.1759.TJ.20250618.1328.012.

YIN G C, LIU R Y, XIA H, et al. Network-centric manned-unmanned collaborative command and control[J/OL]. Command Control & Simulation, 2025(2025-06-19). https:// link. cnki. net/urlid/32.1759. TJ.20250618.1328.012.(in Chinese)

赵良瑾,仝昊楠,苑子杨,等. 无人机集群的干扰管理:机理、技术与挑战[J]. 航空学报, 2025, 46(23): 632022.

ZHAO L J, TONG H N, YUAN Z Y, et al. Interference management for UAV swarms: fundamental mechanisms, techniques, and challenges[J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(23): 632022.(in Chinese)

王梓行,姜大立,杨李,等. 战时导弹火力打击任务分配与运输决策模型[J]. 后勤工程学院学报, 2017, 33(4): 77-85.

WANG Z H, JIANG D L, YANG L, et al. Task allocation and transportation decision model of missile fire strike in wartime[J]. Journal of Logistical Engineering University, 2017, 33(4): 77-85.(in Chinese)

李健,刘鹏,喻小昊,等. 基于变幂次滑模的三维固定时间的多导弹打击比例导引律[J]. 兵工学报, 2025, 46 (7):240437.

LI J, LIU P, YU X H, et al. Three-dimensional fixed-time attack proportional guidance law based on variable power sliding mode for multiple missiles [J]. Acta Armamentarii, 2025, 46 ( 7 ):240437.(in Chinese)

宋亚宁. 基于群智能算法的多无人车协同任务规划研究[D].大连:大连交通大学, 2025.

SONG Y N. Research on multi-unmanned vehicle cooperative task planning based on swarm intelligence algorithms [D]. Dalian: Dalian Jiaotong University, 2025.(in Chinese)

王凯光,高岳林. 导弹机动路径的差分聚类最优规划[J]. 现代防御技术, 2019, 47(2): 109-115, 129.

WANG K G, GAO Y L. Differential clustering optimal programming for maneuvering path of missile[J]. Modern Defence Technology, 2019, 47(2): 109-115, 129. (in Chinese)

季青梅,辛文芳. 多波次导弹火力打击任务研究[J]. 信息技术与信息化, 2017(1): 122-128.

JIQM,XINWF. Research on multi-wave missile fire strike tasks[J]. Information Technology & Informatization, 2017(1):122-128. (in Chinese)

王桐,杨萍,欧阳海波. 基于马尔可夫链的多波次导弹作战研究[J]. 战术导弹技术, 2011(4): 20-22.

WANG T, YANG P, OUYANG H B. Investigation into multi-time missile warfare based on Markov chain[J]. Tactical Missile Technology, 2011(4): 20-22.(in Chinese)

章胤,田子豪,张顺,等. 多波次导弹发射路径规划[J]. 长春工业大学学报, 2019, 40(6): 571-574.

ZHANG Y, TIAN Z H, ZHANG S, et al. Multi-wave missile launch path planning[J]. Journal of Changchun University of Technology, 2019, 40(6): 571-574. (in Chinese)

宋志华,张晗. 多车多波次导弹火力打击行动规划问题的网络流模型及动态规划求解[J]. 军事运筹与系统工程, 2017, 31(3): 15-19.

SONG Z H, ZHANG H. Network flow model and dynamic programming solution for multi-vehicle multi-wave missile fire strike operation planning[J]. Military Operations Research and Systems Engineering, 2017, 31(3): 15-19. (in Chinese)

BRAEKERS K, RAMAEKERS K, VAN NIEUWENHUYSE I. The vehicle routing problem: state of the art classification and review [J]. Computers & Industrial Engineering, 2016, 99:300-313.

SCHYNS M. An ant colony system for responsive dynamic vehicle routing[J]. European Journal of Operational Research, 2015, 245(3): 704-718.

IQBAL S, KAYKOBAD M, RAHMAN M S. Solving the multi-objective vehicle routing problem with soft time windows with the help of bees[J]. Swarm and Evolutionary Computation, 2015, 24: 50-64.

朱秀乐,李豆豆,杜磊,等. 导弹车在多波次导弹齐射中的规划问题[J]. 昆明理工大学学报(自然科学版), 2018, 43(4): 131-140.

ZHU X L, LI DD,DUL, et al. Planning of multi-wave missile salvo from missile vehicles[J]. Journal of Kunming University of Science and Technology ( Natural Science), 2018, 43 ( 4 ):131-140.(in Chinese)

马艳利. 混合整数非线性规划问题的分支定界算法研究[D]. 银川:宁夏大学, 2014.

MA Y L. Branch and bound algorithm of mixed integer nonlinear programming problem [D]. Yinchuan: Ningxia University, 2014. (in Chinese)

白妙青. 导弹发射的机动路线规划问题研究[J]. 现代电子技术, 2019, 42(17): 155-158.

BAI M Q. Research on maneuvering route planning of missile launch[J]. Modern Electronics Technique, 2019, 42 (17):155-158. (in Chinese)

王童豪,彭星光,胡浩,等. 海上有人/无人协同系统及其关键技术综述[J]. 兵工学报, 2024, 45(10): 3317-3340.

WANG T H, PENG X G, HU H, et al. Maritime manned/unmanned collaborative systems and key technologies: a survey [J]. Acta Armamentarii, 2024, 45 (10): 3317 -3340.(in Chinese)

浏览量

851

下载量

CNKI被引量

文章被引用时，请邮件提醒。

提交

工具集

关联资源

复杂空间约束下的高质高效管路装配路径规划方法

面向多物理特征地形的特种车辆能耗预测协同优化算法

增材路径对特种车辆变截面结构成形质量影响研究

基于迭代式师生训练的协同区域覆盖算法

焊接熔池实时三维重构的测算融合方法