远程联合打击下防空火力单元机动路线预测研究

doi:10.12305/j.issn.1001-506X.2024.07.23

摘要/Abstract

摘要：

红蓝双方演习进攻作战中, 为全面夺取战场制空权, 通常将蓝方防空火力单元作为首波重点打击目标, 因此如何准确预测蓝方防空火力单元活动规律, 科学设计联合侦察打击行动具有重要意义。首先, 系统分析防空火力单元所采用的机动保障模式, 结合防御能力定义给出防御能力计算公式并引入栅格网络模型完成定量计算, 基于保障范围约束、阵地资源约束以及机动流程约束, 面向实际保障需求, 以最短机动路线和最高防御能力为优化目标, 建立了适用于地面防空火力单元机动路线的预测模型。其次, 针对所构建的非线性模型求解难题, 提出了模型线性化转换和求解方法。然后, 在最优转移路线的基础上, 设计了一种构建机动路线库的算法, 从而生成蓝方机动路线的概率预测方案, 解析蓝方防空火力单元的机动规律。最后, 基于案例仿真, 验证了所设计模型和方法的可行性和全局高效性, 可实现对蓝方防空火力单元机动路线的有效预测。

关键词: 多目标规划, 最短路线, 线性化处理, 防空火力, 机动路线预测

Abstract:

In the offensive operations of the red and blue sides, in order to fully seize the battlefield air superiority, the blue side air defense fire units are usually taken as the first key targets. Therefore, it is of great significance to accurately predict the activity law of the blue side air defense fire units and scientifically design the joint reconnaissance and attack actions. Firstly, the maneuver support mode adopted by the air defense fire unit is systematically analyzed, the defense capability calculation formula is given based on the definition of defense capability, and the grid network model is introduced to complete the quantitative calculation. Based on the support scope constraint, position resource constraint and maneuver process constraint, the shortest maneuver route and the highest defense capability are taken as the optimization objectives for the actual support requirements. A prediction model for maneuvering route of ground air defense fire units is established. Secondly, aiming at the problem of solving the nonlinear model, the model linearization transformation and solving method are proposed. Then, on the basis of the optimal transfer route, an algorithm for constructing maneuver route library is designed to generate the probabilistic prediction scheme of blue side maneuver route and analyze the maneuver law of blue side air defense fire units. Finally, based on the case simulation, the feasibility and global efficiency of the designed model and method are verified, which can effectively predict the maneuvering route of blue side anti-aircraft fire units.

Key words: multi-objective programming, shortest path, linearization, anti-aircraft fire, maneuver route prediction

中图分类号:

吴浩南, 狄凌松, 司守奎, 万兵, 苏析超. 远程联合打击下防空火力单元机动路线预测研究[J]. 系统工程与电子技术, 2024, 46(7): 2413-2423.

Haonan WU, Lingsong DI, Shoukui SI, Bing WAN, Xichao SU. Research on prediction of maneuvering routes of anti-aircraft fire units under long-range joint strikes[J]. Systems Engineering and Electronics, 2024, 46(7): 2413-2423.

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变量	解释说明
S	蓝方防空火力单元最大拦截面积
φ	红方火箭弹来袭方向的最大夹角
θ	蓝方防空火力单元有效拦截角度
θ_max	栅格网络节点与目标城市的方位角最大值
θ_min	栅格网络节点与目标城市的方位角最小值
A	蓝方防空火力单元有效拦截面积
S_N	防空火力单元最大拦截面积内的节点数目
A_N	红方火箭弹可能来袭方向夹角之内的最大拦截面积内的节点数目
O_k	蓝方重点城市
F_i	防空火力单元
B_i	基本阵地
C_i	预备阵地
D_k	普通城市
d	蓝方防空火力单元l h机动的距离
γ	蓝方防空火力单元的防御能力
γ_总	蓝方5个城市目标的总防御能力
d_ij	火力单元从普通阵地B_i转移到备用阵地C_j的最短距离
γ_ik	位于基本阵地B_i的火力单元对城市O_k的防御能力
γ_jk	位于备用阵地B_j的火力单元对城市O_k的防御能力

单元	状态	机动目的阵地	保护目标	防御能力值	到达阵地时间	是否能接替值班
F1	机动	C16	O1	0.74	58.46	1
F2	机动	C21	O2	0.49	101.63	1
F3	机动	C17	O1	0.68	80.85	1
F4	机动	C18	O1	0.85	100.48	1
F5	值班	-	O5	0.61	-	0
F6	值班	-	O1	0.76	-	0
F7	值班	-	O2	0.40	-	0
F8	机动	C20	O2	0.50	54.05	1
F9	值班	-	O4	0.67	-	0
F10	值班	-	O2	0.20	-	0
F11	机动	C28	O3	0.31	52.00	1
F12	机动	C26	O3	0.39	112.30	1
F13	机动	C36	O4	0.55	55.01	1
F14	机动	C12	O5	0.56	94.29	1
F15	机动	C6	O1	0.34	113.25	1
15个防空火力单元对目标的防御能力之和				8.07

起始点	终点	标号	使用次数	使用频率/%
B1	B3	1	0	0.00
B10	B11	2	511	3.41
B10	B8	3	105	0.70
B10	B7	4	1 074	7.19
B10	B9	5	0	0.00
B10	B12	6	981	6.55
B13	B12	7	497	3.31
B14	B13	8	3	0.00
B14	B15	9	0	0.00
B15	B13	10	2	0.00
B3	B4	11	137	0.90
B3	D2	12	954	6.38
B5	O1	13	522	3.48
B5	B4	14	144	0.97
B6	B1	15	578	3.88
B6	D1	16	1 042	6.95
B7	B6	17	1 093	7.29
B7	O2	18	210	1.40
B8	B11	19	406	2.71
B8	B5	20	570	3.81
D1	B2	21	369	2.47
D1	O1	22	1 563	10.46
D1	B5	23	142	0.97
D2	B15	24	503	3.38
D2	B14	25	449	3.01
O1	B1	26	269	1.80
O1	B3	27	1 328	8.86
O1	B2	28	138	0.90
O1	B4	29	493	3.31
O2	B8	30	101	0.67
O2	D1	31	608	4.04
O2	B9	32	177	1.20

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