超网络体系作战下的打击目标优选模型

doi:10.12305/j.issn.1001-506X.2024.01.21

摘要/Abstract

摘要：

针对当前进行海上作战体系目标优选分析与决策时对打击代价考虑不足的问题, 提出综合考虑目标节点重要度和打击费效度的网络节点分析模型。利用超网络构建海上作战体系网络模型, 通过度和介数等指标评估网络中节点的重要度; 利用打击费效比为指标评估网络中节点的打击代价, 进而将目标分析与选择问题转化为多目标优化问题, 建立寻优模型, 并通过人工鱼群算法进行寻优求解。最后对模型进行案例仿真应用, 通过专家Delphi法评估检验, 结果表明所建立的模型方法可行, 对水面舰队体系的目标分析与选择具有借鉴作用。

关键词: 目标选择, 超网络, 打击代价, 人工鱼群算法, 多目标优化

Abstract:

Aiming at the problem of insufficient consideration of the cost of strikes in the analysis and decision-making of target preference for maritime combat systems, a network node analysis model that considers the importance of target nodes and the cost effectiveness of strikes is proposed. The network model of the maritime combat system is constructed using a super-network, and the importance of the nodes in the network is evaluated by indicators such as degree centrality and betweenness centrality. The strike cost effectiveness ratio is used as an indicator to evaluate the strike cost of the nodes in the network, and then the target analysis and selection problem is transformed into a multi-objective optimization problem. And an optimization search model is established and solved by an artificial fish swarm algorithm. Finally, the model is applied to a simulation case, and the results pass the experts evaluation by Delphi method. It shows that the established model method is feasible and useful for the target analysis and selection of surface fleet systems.

Key words: target selection, super-network, strike cost, artificial fish swarm algorithm, multi-objective optimization

中图分类号:

E917

高泽伦, 郑少秋, 梁汝鹏, 黄炎焱. 超网络体系作战下的打击目标优选模型[J]. 系统工程与电子技术, 2023, 46(1): 182-189.

Zelun GAO, Shaoqiu ZHENG, Rupeng LIANG, Yanyan HUANG. Model of strike target preference under super-network system operation[J]. Systems Engineering and Electronics, 2023, 46(1): 182-189.

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参考文献 30

1	杜正军, 张国辉, 李庆震, 等. 作战体系效能分析及关键目标选择模型研究[J]. 火力与指挥控制, 2022, 47 (1): 125- 129.
	DU Z J , ZHANG G H , LI Q Z , et al. Research on efficiency analysis of commbat system of systems and key target selecting model[J]. Fire Control & Command Control, 2022, 47 (1): 125- 129.
2	刚建勋, 叶雄兵, 于鸿源. 基于超网络的航母编队作战体系建模分析[J]. 指挥控制与仿真, 2018, 40 (5): 6-10, 78.
	GANG J X , YE X B , YU H Y . Modeling and analysis of carrier formation combat SoS base on hypernetworks[J]. Command Control & Simulation, 2018, 40 (5): 6-10, 78.
3	王超, 郭基联, 符凌云. 基于拓扑势的作战体系网络节点重要度评估方法[J]. 兵工学报, 2020, 41 (8): 1658- 1664.
	WANG C , GUO J L , FU L Y . Research on evaluation method of node importance of combat system-of-systems network based on topological potential[J]. Acta Armamentarii, 2020, 41 (8): 1658- 1664.
4	张世燎, 阚亚斌, 高晶. 登陆作战中的打击目标选择效益评估研究[J]. 火力与指挥控制, 2018, 43 (11): 87-90, 97.
	ZHANG S L , KAN Y B , GAO J . Study of benefit evaluation method for selecting target in landing operations[J]. Fire Control & Command Control, 2018, 43 (11): 87-90, 97.
5	李仁见, 司光亚, 张昱, 等. 基于超网的体系效能可视化分析[J]. 系统仿真学报, 2014, 26 (9): 1944-1949, 1955.
	LI R J , SI G Y , ZHANG Y , et al. Visualizing analysis for effectiveness of system of systems based on network of networks[J]. Journal of System Simulation, 2014, 26 (9): 1944-1949, 1955.
6	程光权, 陆永中, 张明星, 等. 复杂网络节点重要度评估及网络脆弱性分析[J]. 国防科技大学学报, 2017, 39 (1): 120- 127.
	CHENG G Q , LU Y Z , ZHANG M X , et al. Node importance evaluation and network vulnerability analysis on complex network[J]. Journal of National University of Defense Technology, 2017, 39 (1): 120- 127.
7	李茂林, 龙建国, 张德群. 基于复杂网络理论的作战体系节点重要性分析[J]. 指挥控制与仿真, 2010, 32 (3): 15- 17.
	LI M L , LONG J G , ZHANG D Q . Analysis of node's importance of combat system based on theory of complex networks[J]. Command Control & Simulation, 2010, 32 (3): 15- 17.
8	刘昊, 邢岩, 吴世杰. 基于体系破击的联合火力打击目标价值评估[J]. 系统工程与电子技术, 2020, 42 (12): 2802- 2810.
	LIU H , XING Y , WU S J . Value evaluation of joint fire strike target based on system-of-systems attack[J]. Systems Engineering and Electronics, 2020, 42 (12): 2802- 2810.
9	刘彦, 陈春良, 昝翔, 等. 考虑双层耦合复杂网络的装备重要度评估方法[J]. 兵工学报, 2018, 39 (9): 1829- 1840.
	LIU Y , CHEN C L , ZAN X , et al. Evaluation method for equipment importance considering bi-layer coupled complex network[J]. Acta Armamentarii, 2018, 39 (9): 1829- 1840.
10	王宏宇, 吴纬, 魏艳艳. 基于超网络模型武器装备体系抗毁性分析[J]. 系统工程与电子技术, 2017, 39 (8): 1782- 1787.
	WANG H Y , WU W , WEI Y Y . Weapon system-of-systems invulnerability analysis based on super network model[J]. Systems Engineering and Electronics, 2017, 39 (8): 1782- 1787.
11	李尔玉, 龚建兴, 黄健, 等. 基于功能链的作战体系复杂网络节点重要性评价方法[J]. 指挥与控制学报, 2018, 4 (1): 42- 49.
	LI E Y , GONG J X , HUANG J , et al. Node importance analysis of complex networks for combat systems based on function chain[J]. Journal of Command and Control, 2018, 4 (1): 42- 49.
12	LI Z S, LI Y B. Application of multi-objective optimization problem based on genetic algorithm[C]//Proc. of the International Conference on Artificial Intelligence and Information Technology, 2021.
13	HOLLAND J H . Adaptation in natural and artificial systems: an introductory analysis with applications to biology, control, and artificial intelligence[M]. Cambridge, Massachusetts: MIT Press, 1992.
14	COLORNI A, DORIGO M, MANIEZZO V. Distributed optimization by ant colonies[C]//Proc. of the European Conference on Artificial Life, 1991: 134-142.
15	KENNEDY J, EBERHART R. Particle swarm optimization[C]//Proc. of the International Conference on Neural Networks, 1995: 1942-1948.
16	李晓磊, 邵之江, 钱积新. 一种基于动物自治体的寻优模式: 鱼群算法[J]. 系统工程理论与实践, 2002, 22 (11): 32- 38.
	LI X L , SHAO Z J , QIAN J X . An optimizing method based on autonomous animats: fish-swarm algorithm[J]. Systems Engineering-Theory & Practice, 2002, 22 (11): 32- 38.
17	SUN T F , ZHANG H , LIU S J , et al. Application of an artificial fish swarm algorithm in solving multiobjective trajectory optimization problems[J]. Chemistry and Technology of Fuels and Oils, 2017, 53 (4): 541- 547. doi: 10.1007/s10553-017-0834-2
18	ZHANG C, ZHANG F M, LI F, et al. Improved artificial fish swarm algorithm[C]//Proc. of the IEEE 9th Conference on Industrial Electronics and Applications, 2014: 748-753.
19	ZHANG L Y , FU M Y , FEI T , et al. The artificial fish swarm algorithm improved by fireworks algorithm[J]. Automatic Control and Computer Sciences, 2022, 56 (4): 311- 323. doi: 10.3103/S0146411622040101
20	LIU Y , TAO Z P , YANG J , et al. The modified artificial fish swarm algorithm for least-cost planning of a regional water supply network problem[J]. Sustainability, 2019, 11 (15): 4121. doi: 10.3390/su11154121
21	DUAN Q C , MAO M X , DUAN P , et al. An improved artificial fish swarm algorithm optimized by particle swarm optimization algorithm with extended memory[J]. Kybernetes: The International Journal of Systems & Cybernetics, 2016, 45 (2): 210- 222.
22	YANG Z , LIU D , ZHANG X Y , et al. Optimization of rolling schedule for single-stand reversible cold rolling mill based on multiobjective artificial fish swarm algorithm[J]. Wireless Communications & Mobile Computing, 2022, 9167017.
23	杨圩生, 王钰, 杨洋, 等. 基于作战环的不同节点攻击策略下的作战网络效能评估[J]. 系统工程与电子技术, 2021, 43 (11): 3220- 3228.
	YANG W S , WANG Y , YANG Y , et al. Combat network effectiveness evaluation under different node attack strategies based on operation loop[J]. Systems Engineering and Electronics, 2021, 43 (11): 3220- 3228.
24	罗承昆, 陈云翔, 王莉莉, 等. 基于作战环和改进信息熵的体系效能评估方法[J]. 系统工程与电子技术, 2019, 41 (1): 73- 80.
	LUO C K , CHEN Y X , WANG L L , et al. Effectiveness evaluation method of system-of-systems based on operation loop and improved information entropy[J]. Systems Engineering and Electronics, 2019, 41 (1): 73- 80.
25	LYU L Y , CHEN D B , REN X L , et al. Vital nodes identification in complex networks[J]. Physics Reports, 2016, 650, 1- 63. doi: 10.1016/j.physrep.2016.06.007
26	XU X , ZHU C , WANG Q Y , et al. Identifying vital nodes in complex networks by adjacency information entropy[J]. Scientific Reports, 2020, 2691.
27	魏东涛, 刘晓东, 李鹏, 等. 基于节点重要度与改进信息熵的装备体系效能评估方法研究[J]. 系统工程与电子技术, 2021, 43 (12): 3614- 3623.
	WEI D T , LIU X D , LI P , et al. Research on effectiveness evaluation method of equipment system based on node importance and improved information entropy[J]. Systems Engineering and Electronics, 2021, 43 (12): 3614- 3623.
28	张朝炜, 柳云祥, 朱永利. 基于改进人工鱼群算法的大规模多目标机组组合优化[J]. 电力系统保护与控制, 2021, 49 (8): 100- 108.
	ZHANG Z W , LIU Y X , ZHU Y L . Large-scale multi-objective unit commitment optimization based on an improved artificial fish swarm algorithm[J]. Power System Protection and Control, 2021, 49 (8): 100- 108.
29	YANG Y K , LIU J C , TAN S B . A multi-objective evolutionary algorithm for steady-state constrained multi-objective optimization problems[J]. Applied Soft Computing, 2021, 101, 107042. doi: 10.1016/j.asoc.2020.107042
30	HWANG W L , LEE C C , PENG G J . Multi-objective optimization and characterization of Pareto points for scalable coding[J]. IEEE Trans.on Circuits and Systems for Video Technology, 2018, 29 (7): 2096- 2111.

节点类型	符号	功能描述	示例
侦察通信节点	I	负责侦察与通信	雷达、预警机、舰艇等
指挥控制节点	C	做出指挥决策	航母、大型舰艇等
火力打击节点	F	执行火力打击	舰载机、潜艇等
物资保障节点	G	提供物资保障	补给舰、输油船等

专家编号	目标0		目标1		…	目标8		目标9		…	目标18		…	目标23
专家编号	重要度 0.6	打击代价0.4	重要度 0.6	打击代价0.4	…	重要度 0.6	打击代价0.4	重要度 0.6	打击代价0.4	…	重要度 0.6	打击代价0.4	…	重要度 0.6	打击代价0.4
1	6	4	3	2	…	8	6	6	4	…	8	9	…	2	3
2	5	4	3	2	…	8	6	8	4	…	7	8	…	3	2
3	5	3	4	4	…	7	5	7	5	…	7	9	…	1	2
4	7	3	2	3	…	6	6	7	6	…	8	8	…	2	2
5	7	5	3	4	…	7	6	7	5	…	9	8	…	2	4
6	6	5	3	2	…	6	7	8	6	…	8	9	…	2	3
7	6	3	5	4	…	6	7	8	5	…	8	8	…	1	3
8	7	5	1	3	…	8	6	6	5	…	7	8	…	3	4
9	5	5	2	3	…	7	6	6	6	…	9	9	…	3	4
10	6	3	4	3	…	7	5	7	4	…	8	9	…	1	3
均分	6	4	3	3	…	7	6	7	5	…	7.9	8.5	…	2	3
加权分	5.2		3.0		…	6.6		6.2		…	8.14		…	2.4

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