反导作战体系超网络模型与交互机制研究

doi:10.3969/j.issn.1009-086x.2022.03.001

摘要/Abstract

摘要：

以反导作战体系运用流程为研究对象，基于复杂网络的思想，对反导作战体系进行了拓扑抽象，构建了由指控子网、信息子网、交战子网、传感子网组成的反导作战体系运用流程超网模型；深入分析了超网模型静态交互机制，并对节点交互关系进行了数学描述，基于作战阶段时序对反导作战体系网络动态交互机制进行分析，提取出反映各阶段子网内部与子网之间的网络演化特性的特征参数；验证试验表明，网络密度等网络整体特征值呈阶段性变化，信息流、各节点角色和地位随着阶段性任务呈规律性变化，对后续反导作战体系运用流程优化进行了有益探索。

关键词: 复杂网络, 超网络, 反导作战体系, 运用流程, 交互机制

Abstract:

Aiming at missile defense system-of-systems process， based on complex network， the application of missile defense system-of-systems is abstracted topologically， and the supernetwork modeling of the application of missile defense system-of-systems is built， which is composed of accusation subnet， information subnet， engagement subnet and sensor subnet. The static interaction mechanism of models is analyzed deeply， and the nodes interaction relationship is described mathematically. The dynamic interaction mechanism of the models is analyzed based on the time sequence of operation phases， and the characteristic parameters reflecting the network evolution characteristics between subnet and internal subnet are extracted. The simulation results show the overall characteristic value such as network density of the network changes in phases， and the information flow changes regularly with phases tasks， as well as the role and status of each node， which is a useful exploration for the following optimization problems.

Key words: complex network, supernet, anti-missile defense system-of-systems, process, interaction mechanism

中图分类号:

E844

罗剑, 于小红, 姜伟, 王杰娟, 陈小卫. 反导作战体系超网络模型与交互机制研究[J]. 现代防御技术, 2022, 50(3): 1-9.

Jian LUO, Xiao-hong YU, Wei JIANG, Jie-juan WANG, Xiao-wei CHEN. Supernetwork Modeling and Interaction Mechanism of Missile Defense System-of-Systems[J]. Modern Defense Technology, 2022, 50(3): 1-9.

图/表 7

图1 反导作战体系运用流程超网模型示意图

Fig.1 Illustration of supernet model of anti-missile operation system-of-systems

图2 “三域四网”交互示意图

Fig.2 Illustration of interaction of “three domain and four network”

图3 反导作战体系多阶段动态网络演化示意图

Fig.3 Illustration of multi-stage dynamic network evolution of anti-missile operation system-of-systems

图4 反导作战体系静态网络拓扑图

Fig.4 Static network topology of anti-missile system-of-systems

表1 反导作战体系多阶段动态网络特性指标值变化

Table 1 Variation of multi-stage dynamic network characteristic index of anti-missile operation system-of-systems

网络特征值	阶段1	阶段2	阶段3	阶段4	静态网络
活动节点数 $N$	13	14	13	13	20
弧 $l$	58	130	102	118	288
信息弧 $l i n f o r$	16	112	90	75	173
物质弧 $l m a t$	0	0	0	3	3
指控弧 $l c o m$	42	18	12	40	112
$N D$	0.153	0.342	0.268	0.310	0.758
$L$	2.022	1.847	1.649	1.923	2.089

表1 反导作战体系多阶段动态网络特性指标值变化

Table 1 Variation of multi-stage dynamic network characteristic index of anti-missile operation system-of-systems

网络特征值	阶段1	阶段2	阶段3	阶段4	静态网络
活动节点数 $N$	13	14	13	13	20
弧 $l$	58	130	102	118	288
信息弧 $l i n f o r$	16	112	90	75	173
物质弧 $l m a t$	0	0	0	3	3
指控弧 $l c o m$	42	18	12	40	112
$N D$	0.153	0.342	0.268	0.310	0.758
$L$	2.022	1.847	1.649	1.923	2.089

图5 各节点不同阶段度数中心度变化图

Fig.5 illustration of variation of degree centricity of each node at different stages

图6 各节点不同阶段介数中心度变化图

Fig.6 illustration of variation of intermediate centrality of each node at different stages

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