基于杀伤网贡献率的动态体系节点重要度评估

doi:10.12305/j.issn.1001-506X.2023.06.17

Abstract

Abstract:

Aiming at the insufficient research on the characterization of node functional heterogeneity and diversity, the dynamic construction of system models, and the calculation of system operational capability in the evaluation of node importance in current combat systems, a kill-web capability model for dynamic combat system is established, and a dynamic calculation model method and search algorithm for kill-web capability are proposed. Considering the quantity and quality of the kill chain, a kil-web capability index (KWCI) and a node importance evaluation model based on the contribution rate of the KWCI are proposed. In the simulation experiment, the degree of decline of the KWCI after the attacking of network by seven attack methods, such as the KWCI and the degree centrality, is compared under different space-time conditions. The simulation results show that the proposed method is significantly superior to other benchmark methods, verifying the rationality of the proposed algorithm.

Key words: kill-web, contribution rate, dynamic system, node importance evaluation

CLC Number:

E917

Changjiang QIN, Keyu WU, Qing CHENG, Jincai HUANG. Node importance evaluation in dynamic system based on kill-web contribution rate[J]. Systems Engineering and Electronics, 2023, 45(6): 1732-1742.

Figures/Tables 9

Fig.1

Table 1

Table 2

Table 3

Table 4

Table 5

Fig.2

Fig.3

Fig.4

References 31

1	GREGORY S M. Time critical targeting: predictive Vs. reactionary methods-an analysis for the future[D]. Alabama: Air University, 2002.
2	BRYAN C D P , HARRISON S . Mosaic warfare: exploiting artificial intelligence and autonomous systems to implement decision centric operations[J]. Washington: Center for Strategy and Budgetary Assessments, 2020, 32- 41.
3	FREEMAN L C . A set of measures of centrality based on betweenness[J]. Ciometry, 1977, 40 (1): 35- 41.
4	FREEMAN L C . Centrality in social networks conceptual clarification[J]. Social Networks, 1979, 1 (3): 215- 239.
5	ALBERT R , JEONG H , BARABÁSI A L . Internet: diameter of the world-wide web[J]. Nature, 1999, 401 (6749): 130- 131. doi: 10.1038/43601
6	LOHMANN G , MARGULIES D S , HORSTMANN A , et al. Eigenvector centrality mapping for analyzing connectivity patterns in fMRI data of the human brain[J]. PLoS One, 2010, 5 (4): e10232. doi: 10.1371/journal.pone.0010232
7	BRIN S , PAGE L . The anatomy of a large-scale hypertextual web search engine[J]. Computer Networks and ISDN Systems, 1998, 30 (1): 107- 117.
8	SHENG J F , J DAI J Y , WANG B , et al. Identifying influential nodes in complex networks based on global and local structure[J]. Physica A: Statistical Mechanics and its Applications, 2020, 541, 122481.
9	QIU L Q , ZHANG J Y , TIAN X B . Ranking influential nodes in complex networks based on local and global structures[J]. Applied Intelligence, 2021, 51 (7): 4394- 4407. doi: 10.1007/s10489-020-02132-1
10	XU G Q , MENG L , TU D Q , et al. LCH: a local clustering H-index centrality measure for identifying and ranking influential nodes in complex networks[J]. Chinese Physics B, 2021, 30 (8): 566- 574.
11	姜志鹏, 张多林, 王乐, 等. 多维约束下指挥网络节点重要度的评估方法[J]. 解放军理工大学学报(自然科学版), 2015, 16 (3): 294- 298.
	JIANG Z P , ZHANG D L , WANG L , et al. Evaluation method for node importance of command network with multiple constraints[J]. Journal of PLA University of Science and Techno-logy (Natural Science Edition), 2015, 16 (3): 294- 298.
12	YANG G L , ZHANG W M , XIU B X , et al. Key potential-oriented criticality analysis for complex military organization based on FINC-E model[J]. Computational and Mathematical Organization Theory, 2014, 20 (3): 278- 301. doi: 10.1007/s10588-013-9163-0
13	GAO X , LI K Q , CHEN B . Invulnerability measure of a military heterogeneous network based on network structure entropy[J]. IEEE Access, 2017, 6, 6700- 6708.
14	张明梅. 基于功能链的陆军师级武器装备体系作战能力评估[D]. 长沙: 国防科技大学, 2014.
	ZHANG M M. Evaluation of operational capability of land force's weapon equipment system of systems based on function chain[D]. Changsha: National University of Defense Techno-logy, 2014.
15	罗金亮, 金家才, 王雷. 基于功能贡献度的网络化防空节点重要性评价方法[J]. 计算机科学, 2018, 45 (2): 175- 180.175-180, 202
	LUO J L , JIN J C , WANG L . Evaluation method for node importance in air defense networks based on functional contribution degree[J]. Computer Science, 2018, 45 (2): 175- 180.175-180, 202
16	李清韦, 刘俊先, 陈涛. 基于活动环路的作战网络节点重要度评估方法[J]. 火力与指挥控制, 2019, 44 (8): 12- 16.
	LI Q W , LIU J X , CHEN T . Method for node importance evaluation in operational network based on active loop[J]. Fire Control & Command Control, 2019, 44 (8): 12- 16.
17	LI J C , JIANG J , YANG KW , et al. Research on functional robustness of heterogeneous combat networks[J]. IEEE Systems Journal, 2019, 13 (2): 1487- 1495. doi: 10.1109/JSYST.2018.2828779
18	LI J C , ZHAO D L , JIANG J , et al. Capability oriented equipment contribution analysis in temporal combat networks[J]. IEEE Trans.on Systems, Man, and Cybernetics: Systems, 2021, 51 (2): 696- 704. doi: 10.1109/TSMC.2018.2882782
19	LI J C , ZHAO D L , GE B F , et al. Disintegration of operational capability of heterogeneous combat networks under incomplete information[J]. IEEE Trans.on Systems, Man, and Cybernetics: Systems, 2020, 50 (12): 5172- 5179. doi: 10.1109/TSMC.2018.2867532
20	李尔玉, 龚建兴, 黄健. 基于功能链的融合网络功能抗毁性评估[J]. 兵工学报, 2019, 40 (7): 1450- 1459.
	LI E Y , GONG J X , HUANG J . Analysis about functional invulnerability of convergent network based on function chain[J]. Acta Armamentarii, 2019, 40 (7): 1450- 1459.
21	杨迎辉, 李建华, 沈迪, 等. 多重边融合复杂网络动态演化模型[J]. 西安交通大学学报, 2016, 50 (9): 132- 139.
	YANG Y H , LI J H , SHEN D , et al. Dynamic evolution model of united complex networks with multi-links[J]. Journal of Xi'an Jiao Tong University, 2016, 50 (9): 132- 139.
22	朱涛, 梁维泰, 黄松华, 等. 面向任务的网络信息体系建模分析方法研究[J]. 系统仿真学报, 2020, 32 (4): 727- 737.
	ZHU T , LIANG W T , HUANG S H , et al. Research on modeling and analyzing method of task-oriented network information system of systems[J]. Journal of System Simulation, 2020, 32 (4): 727- 737.
23	DEKKER A . Applying social network analysis concepts to military C4ISR architectures[J]. Connections, 2002, 24 (3): 93- 103.
24	夏博远, 杨克巍, 杨志伟, 等. 基于杀伤网评估的装备组合多目标优化[J]. 系统工程与电子技术, 2021, 43 (2): 399- 409.
	XIA B Y , YANG K W , YANG Z W , et al. Multi-objective optimization of equipment portfolio based on kill-web evaluation[J]. Systems Engineering and Electronics, 2021, 43 (2): 399- 409.
25	QIN C , LIANG Y , HUANG J , et al. Node capability depen-dency importance evaluation of heterogeneous target operational network[J]. Evolutionary Intelligence, 2022, doi: 10.1007/s12065-022-00712-3
26	王茂桓, 刘泽苁, 梁浩哲, 等. 多类型体系贡献率评估的综合问题研究[J]. 系统工程与电子技术, 2022, 44 (5): 1572- 1580.
	WANG M H , LIU Z C , LIANG H Z , et al. Research on comprehensive problem of evaluating multi-type contribution rate to system-of-systems[J]. Systems Engineering and Electronics, 2022, 44 (5): 1572- 1580.
27	周琛, 宋笔锋, 尚柏林, 等. 基于作战网络可靠度的体系贡献率评估[J]. 系统工程与电子技术, 2021, 43 (7): 1875- 1883.
	ZHOU C , SONG B F , SHANG B L , et al. System of systems contribution rate evaluation based on operational network reliability[J]. Systems Engineering and Electronics, 2021, 43 (7): 1875- 1883.
28	周琛, 尚柏林, 宋笔锋, 等. 基于作战环的航空武器装备体系贡献率评估[J]. 航空学报, 2022, 43 (2): 224958.
	ZHOU C , SHANG B L , SONG B F , et al. Contribution evaluation of aviation armament system-of-systems based on operation loop[J]. Acta Aeronautica et Astronautica Sinica, 2022, 43 (2): 224958.
29	张大信, 王超, 郭基联, 等. 基于结构和功能的改进CRITIC体系贡献率评估方法[J]. 火力与指挥控制, 2021, 46 (6): 39- 46.
	ZHANG D X , WANG C , GUO J L , et al. Improved evaluation method of contribution ratio of CRITIC system based on structure and function[J]. Fire Control & Command Control, 2021, 46 (6): 39- 46.
30	周璇, 何锋, 谷晓燕, 等. 航电系统体系贡献率权重演化动态综合评估[J]. 系统工程与电子技术, 2020, 42 (8): 1740- 1750.
	ZHOU X , HE F , GU X Y , et al. Dynamic comprehensive evaluation with weight evolution for system contribution rate of avionics systems[J]. Systems Engineering and Electronics, 2020, 42 (8): 1740- 1750.
31	张先超, 马亚辉. 体系能力模型与装备体系贡献率测度方法[J]. 系统工程与电子技术, 2019, 41 (4): 843- 849.
	ZHANG X C , MA Y H . Capability model of combat system of systems and measurement method of armament contribution to combat system of systems[J]. Systems Engineering and Electronics, 2019, 41 (4): 843- 849.

ID	通信手段及距离/km
ID	N_cap1	N_cap2	N_cap3	N_cap4	N_cap5
1	185	185	555	14 816	1 111
2	185	185	555	-	1 111
3	185	185	555	-	1 111
4	185	185	555	14 816	1 111
5	185	185	555	14 816	1 111
6	185	185	555	14 816	1 111
7	185	185	555	14 816	1 111
8	185	185	555	14 816	1 111
9	-	-	-	-	1 111
10	185	185	555	14 816	1 111
11	185	185	555	-	1 111
12	-	-	-	-	1 111

ID	侦察指控打击功能能力属性
ID	I_cap/km	C	F_cap/km
1	64.82	1	240.76
2	274.39	-	-
3	274.39	-	-
4	64.82	1	240.76
5	64.82	1	55.56
6	64.82	1	55.56
7	64.82	1	240.76
8	64.82	1	240.76
9	222.24	-	796.36
10	64.82	1	240.76
11	64.82	-	185.20
12	222.24	-	796.36

ID	TS_Time 05:07:04:20:00 (m: d: h: min: s)	TS_Lat/(°)	TS_Lon/(°)	TS_Alt/km
1	1	13.542 607	113.734 753	0
2	1	13.980 762	109.745 932	0
3	1	14.049 099	109.146 813	0
4	1	13.952 474	110.994 172	0
5	1	11.614 202	109.363 797	0
6	1	11.146 998	110.920 817	0
7	1	14.456 138	111.836 479	0
8	1	13.726 381	109.820 160	0
9	1	12.655 431	114.420 555	3
10	1	13.402 329	114.355 677	0
11	1	-	-	-
12	1	-	-	-
13	1	13.910 670	108.710 698	0
14	1	11.878 581	114.288 178	0
15	1	12.758 358	112.170 976	0
16	1	14.733 458	110.348 508	0
17	1	11.900 482	108.962 016	0
18	1	14.760 654	110.981 743	0

ID	TS_Time 05:07:04:30:00 (m: d: h: min: s)	TS_Lat/(°)	TS_Lon/(°)	TS_Alt/km
1	2	11.610 458	118.203 294	0
2	2	11.337 081	121.872 885	0
3	2	12.995 028	119.078 829	0
4	2	14.553 383	116.935 968	0
5	2	14.085 448	109.789 128	0
6	2	13.933 100	119.096 404	0
7	2	13.797 684	117.558 210	0
8	2	12.237 160	113.191 371	0
9	2	12.465 240	115.931 316	3.7
10	2	14.417 057	115.672 591	0
11	2	-	-	-
12	2	-	-	-
13	2	12.407 351	112.712 802	0
14	2	13.409 041	115.306 136	0
15	2	12.669 692	115.149 238	0
16	2	14.334 506	117.682 938	0
17	2	12.170 132	117.203 622	0
18	2	14.367 496	116.141 945	0

ID	TS_Time 05:07:04:40:00 (m: d: h: min: s)	TS_Lat/(°)	TS_Lon/(°)	TS_Alt/km
1	3	12.790 145	110.790 819	0
2	3	13.960 196	110.717 828	0
3	3	15.791 066	121.548 277	0
4	3	11.115 439	109.713 689	0
5	3	11.523 498	109.765 455	0
6	3	13.823 695	115.841 502	0
7	3	11.245 976	116.896 690	0
8	3	16.337 942	118.358 703	0
9	3	16.132 825	116.149 067	3.30
10	3	15.136 830	110.804 571	0
11	3	13.684 155	114.270 466	0
12	3	13.699 130	114.175 680	3.96
13	3	11.944 040	120.855 720	0
14	3	16.334 405	109.932 755	0
15	3	17.569 961	117.329 119	0
16	3	13.000 217	108.049 309	0
17	3	13.722 591	110.225 195	0
18	3	11.456 357	110.925 393	0

Node importance evaluation in dynamic system based on kill-web contribution rate

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 9

References 31

Related Articles 15

Recommended Articles

Metrics

Comments

[1]	Maohuan WANG, Zecong LIU, Haozhe LIANG, Yingchao ZHANG, Lei SUN. Research on comprehensive problem of evaluating multi-type contribution rate to system-of-systems [J]. Systems Engineering and Electronics, 2022, 44(5): 1572-1580.
[2]	Depeng KONG, Yiqing MA, Baohua ZHENG, Qi WANG, Zhiqiang ZHANG, Zhenqiang ZHAO. Contribution rate assessment method of maritime joint operations equipment system of systems for uncertain multi-mission scenes [J]. Systems Engineering and Electronics, 2022, 44(12): 3775-3782.
[3]	Min DU, Zhonghua CHENG, Enzhi DONG. Research on contribution rate evaluation theory of army air defense brigade equipment system [J]. Systems Engineering and Electronics, 2022, 44(1): 209-217.
[4]	Chen ZHOU, Bifeng SONG, Bolin SHANG, Yaozu WANG, Erqin KE. System of systems contribution rate evaluation based on operational network reliability [J]. Systems Engineering and Electronics, 2021, 43(7): 1875-1883.
[5]	Boyuan XIA, Kewei YANG, Zhiwei YANG, Xiaoke ZHANG, Danling ZHAO. Multi-objective optimization of equipment portfolio based on kill-web evaluation [J]. Systems Engineering and Electronics, 2021, 43(2): 399-409.
[6]	Xing PAN, Dujun ZUO, Yuedong ZHANG. Contribution rate evaluation method of equipment system-of-systems based on system dynamics [J]. Systems Engineering and Electronics, 2021, 43(1): 112-120.
[7]	Guixiang FANG, Yuejin TAN, Mu ZHANG, Xiaodong BU, Jun ZHANG. Evaluation of relative contribution rate of missile weapon system-of-systems based on combat ring [J]. Systems Engineering and Electronics, 2020, 42(8): 1734-1739.
[8]	Xuan ZHOU, Feng HE, Xiaoyan GU, Zirui JIA, Huagang XIONG. Dynamic comprehensive evaluation with weight evolution forsystem contribution rate of avionics systems [J]. Systems Engineering and Electronics, 2020, 42(8): 1740-1750.
[9]	Junwen MA, An ZHANG, Fei GAO, Wenhao BI. Evaluation of weapon equipment contribution rate to system-of- systems based on belief rule-based system [J]. Systems Engineering and Electronics, 2020, 42(7): 1519-1526.
[10]	LUO Chengkun, CHEN Yunxiang, XIANG Huachun, WANG Lili. Review of the evaluation methods of equipment’s contribution rate to system-of-systems [J]. Systems Engineering and Electronics, 2019, 41(8): 1789-1794.
[11]	CHEN Wenying, ZHANG Bingzhi, YANG Kewei. Contribution rate evaluation for requirement demonstration of a new weapon equipment system [J]. Systems Engineering and Electronics, 2019, 41(8): 1795-1801.
[12]	DENG Yingjie, ZHANG Xianku, ZHANG Guoqing. Dynamic positioning system of marine surface vessel with ESO and input saturation control [J]. Systems Engineering and Electronics, 2019, 41(5): 1110-1117.
[13]	YANG Kewei, YANG Zhiwei, TAN Yuejin, ZHAO Qingsong. Review of the evaluation methods of equipment system of systems facing the contribution rate [J]. Systems Engineering and Electronics, 2019, 41(2): 311-321.
[14]	LU Cheng, XU Tingxue, ZHAO Jun. Equipment condition assessment method based on cloud matter element model of DSm evidence [J]. Systems Engineering and Electronics, 2017, 39(7): 1549-1554.
[15]	GUO Jian-bin, DU Shao-hua, WANG Xin, ZENG Sheng-kui. Fault hybrid propagation and modeling method for dynamic system [J]. Systems Engineering and Electronics, 2015, 37(1): 224-228.