基于动态规划的阵地伪装方案优化方法

doi:10.12305/j.issn.1001-506X.2025.11.20

摘要/Abstract

摘要：

针对遂行阵地工事构筑时面临对手全方位、多谱段侦察与综合毁伤威胁，导致暴露征候显著、作战意图易被察觉等问题，提出一种基于动态规划构建数学模型进行伪装方案优化的解决方法。通过多谱伪装网遮障、植被铺设等方案形成的伪装体系，量化评估人力、物力、时间、经费等资源的消耗，构建动态规划模型，在可利用资源有限的约束条件下，经过多阶段决策优化，实现阵地工事伪装可靠度的最大化。对比分析显示，该方法在资源利用效率与伪装效果的平衡上优于传统经验决策。研究结果表明，将动态规划方法应用于阵地工事伪装方案优化，能够有效解决有限资源约束下伪装效能最大化的问题，可为复杂环境下的阵地工事伪装决策提供参考依据。

关键词: 阵地伪装, 动态规划, 归一化, 伪装效果

Abstract:

To address the problems of significant exposure symptoms and easy detection of combat intentions caused by the threat of all-round and multi spectral reconnaissance and comprehensive damage from opponents during the construction of position fortifications, a solution based on dynamic programming to optimize camouflage schemes is proposed. A camouflage system is formed through multi spectral camouflage nets, vegetation laying, and other schemes to quantitatively evaluate the consumption of resources such as manpower, material resources, time, and funds. A dynamic programming model is constructed to maximize the reliability of position fortifications camouflage through multi-stage decision-making optimization in the constraint of limited available resources. Comparative analysis shows that this method outperforms traditional empirical decision-making in balancing resource utilization efficiency and camouflage effect. The research results indicate that applying dynamic programming methods to optimize camouflage schemes for position fortifications can effectively solve the problem of maximizing camouflage effectiveness in limited resource constraints, and provide reference for position fortifications camouflage decision-making in complex environments.

Key words: position camouflage, dynamic programming, normalization, camouflage effect

中图分类号:

E 95

于海宝, 许卫东, 谢雨谋, 魏洪, 叶雨佳, 郑龙华. 基于动态规划的阵地伪装方案优化方法[J]. 系统工程与电子技术, 2025, 47(11): 3721-3728.

Haibao YU, Weidong XU, Yumou XIE, Hong WEI, Yujia YE, Longhua ZHENG. Optimization method of position camouflage scheme based on dynamic programming[J]. Systems Engineering and Electronics, 2025, 47(11): 3721-3728.

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符号	意义
p	伪装可靠度
i	阵地工事伪装工程第i个设施
n	阵地工事伪装工程设施的个数
x_i	第i个设施采用伪装等级x进行伪装
P（i,x_i）	第i个设施采用伪装等级x伪装后伪装可靠度
S_i	第1至第i个工程伪装所用费效比之和
f_i	第i个阶段伪装后的伪装可靠度
c	伪装设施使用费用
C	整体伪装方案所需经费
P	整体阵地工事伪装方案伪装可靠度
P*	伪装方案优化后的伪装可靠度
A	战斗行动前需达到最低伪装可靠度
F	伪装方案优化费效比控制值
H	采用光学伪装网
I	采用多谱伪装网
J	采用植被铺设在光学伪装网
K	采用植被铺设在多谱伪装网
B	采用就便材料进行伪装
Z	采用植被与就便材料结合的方式进行伪装
T	伪装设施耗费时间
T^*	对T进行归一化后数值
W	伪装设施消耗人力
W^*	对W进行归一化后数值
D	伪装设施消耗经费
D^*	对D进行归一化后数值
E	伪装设施消耗物力
E^*	对E进行归一化后数值
U	该点效能与费用相等
V	该点效能与费用相等
O	Max（P-C）时对应的最优方案
g	伪装设施费效比
G	整体阵地工事伪装方案费效比
G*	整体阵地工事伪装方案优化后费效比

项目名称	伪装方案	伪装可靠度	费效比
掩蔽（盖）部	H	0.82	0.22
	I	0.96	0.32
	J	0.89	0.33
	K	0.99	0.42
交通（堑）壕	B	0.79	0.23
交通（堑）壕	Z	0.96	0.45
单人掩体	H	0.81	0.21
	I	0.96	0.32
	J	0.89	0.35
	K	0.99	0.40
火箭筒掩体	H	0.80	0.23
	I	0.95	0.36
	J	0.88	0.37
	K	0.97	0.48
机枪掩体	H	0.80	0.24
	I	0.95	0.34
	J	0.88	0.37
	K	0.98	0.40
火炮掩体	H	0.78	0.21
	I	0.92	0.32
	J	0.84	0.35
	K	0.95	0.46
道路	B	0.77	0.24
道路	Z	0.89	0.48

$ X_1 $	H	I	J	K
$ f_1 $	0.82	0.96	0.89	0.99
$ S_1 $	0.22	0.32	0.33	0.42

$ {X_2} $		$ {X_1} $
		H	I	J	K
		0.82	0.96	0.89	0.99
B	0.79	0.65	0.76	0.70	0.78
Z	0.96	0.79	0.92	0.85	0.95

$ {X_{{3}}} $		$ {f_{2}^*} $
$ {X_{{3}}} $		0.76	0.78	0.79	0.92	0.85	0.95
H	0.81	0.61	0.63	0.64	0.75	0.69	0.77
I	0.96	0.73	0.75	0.76	0.88	0.81	0.91
J	0.89	0.67	0.69	0.70	0.82	0.75	0.85
K	0.99	0.75	0.77	0.72	0.91	0.84	0.94