Abstract:Aiming at the problem that information network with single factor pattern can not reflect effectively the complex structure and dynamic process for operational information flowing (OIF), this paper presents a new method of modeling and characteristic analyzing for OIF model with double layers and three networks based on super-network. Firstly, super-network structure characteristics of OIF are analyzed, multidimensional attributes for operational nodes and information relationships are abstracted, association mapping rules are defined, and then OIF super-network model is built. Secondly, from the perspective of super-degree distribution for nodes, degree distribution for super-edges, betweenness, convergence coefficient, sub-graph centrality and network resilience, topological characteristics of OIF super-network are studied. Finally, taking aviation aggressive operation as an example,and simulation results validate feasibility and rationality of the model and method.
杨迎辉, 李建华, 王刚, 南明莉. 基于超网络的作战信息流转建模及特性分析[J]. 复杂系统与复杂性科学, 2016, 13(3): 8-18.
YANG Yinghui, LI Jianhua, WANG Gang, NAN Mingli. Modeling and Characteristic Analyzing of Operational Information Flowing Based on Super-Network[J]. Complex Systems and Complexity Science, 2016, 13(3): 8-18.
[1] Alberts D S, Hayes R E. Power to the Edge[M].Washington, DC: CCRP Publication Series, 2003:17-37. [2] Alberts D S. The Agility Advantage: A Survival Guide for Complex Enterprises and Endeavors[M].Washington, DC: CCRP Publication Series, 2011: 4-10. [3] 杰夫·凯尔斯. 分布式网络化作战—网络中心战基础 [M].北京:北京邮电大学出版社, 2006. [4] Jeffrey R C. An information age combat model [C]//International Command and Control Research and Technology Symposium (ICCRTS). Washington D C, 2004: 28-65. [5] 白亮, 肖延东,侯绿林,等. 基于控制环的作战网络对抗模型[J].国防科技大学学报, 2013, 35(3): 42-47. Bai Liang, Xiao Yandong, HouLülin,et al. Operational network combat model based on control loop[J].Journal of National University of Defense Technology, 2013, 35(3): 42-47. [6] 滕克难, 盛安冬. 舰艇编队协同反导作战网络效果度量方法研究[J].兵工学报, 2010, 31(9): 1247-1253. Teng Kenan, Sheng Andong. Research on metric of network effect in ship formation cooperation anti-missile operation[J].Acta Armamentar II, 2010, 31(9): 1247-1253. [7] Nagurney A, Dong J. Supernetworks: Decision-Making for the Information Age [M].Cheltenham: Edward Elgar Publishing, 2002. [8] Nagurney A, Cruz J, Matsypura D. Dynamics of global supply chain super-networks [J].Mathematical and Computer Modeling, 2003, 37(9/10):963-983. [9] 王志平, 王众托. 超网络理论及其应用[M].北京: 科学出版社, 2008. [10] Watts D J, Strogatz S H. Collective dynamics of small-world networks[J].Nature, 1998, 393(6684): 440-442. [11] Barabási A L, Albert R. Emergence of scaling in random networks[J].Science, 1999, 286(5439): 509-512. [12] Shi F L, Lei Y L, Zhu Y F. A military communication super-network structure model for net centric environment [C]//International Conference on Computational and Information Sciences. Wuhan, 2010. [13] 邹志刚, 刘付显,孙施曼,等. 基于扩展粒度计算的防空体系结构超网络模型[J].复杂系统与复杂性科学, 2014, 11(2): 24-35. Zou Zhigang, Liu Fuxian, Sun Shiman,et al. Extended granular computing-based on supernetwork model for anti-air operational architecture[J].Complex Systems and Complexity Science, 2014, 11(2): 24-35. [14] Anthony H D. Analyzing C2 structures and selfsynchronization with simple computational models[C]//International Command and Control Research and Technology Symposium. New York, 2011: 64-98. [15] Akella R, McMillin B M. Information flow analysis of energy management in a smart grid [J].Lecture Notes in Computer Science, 2011(01):263-276. [16] 邵峰晶, 孙仁诚,李淑静,等. 多子网复合复杂网络及其运算研究[J].复杂系统与复杂性科学, 2012, 9(4): 20-21. Shao Fengjing, Sun Rencheng, Li Shujing,et al. Research of multi-subnet composited complex network and its operation[J].Complex Systems and Complexity Science, 2012, 9(4): 20-25. [17] 胡枫, 赵海兴,何佳倍,等. 基于超图结构的科研合作网络演化模型[J].物理学报, 2013, 69(19): 1-8. Hu Feng, Zhao Haixing, He Jiabei,et al. An evolving model for hypergraph-structure-based scientific collaboration networks[J].Acta Phys Sin, 2013, 62(19): 198901. [18] Zou Z G, Liu F X, Sun S M. et al. Ripple-effect analysis for operational architecture of air defense systems with supernetwork modeling [J].Journal of Systems Engineering and Electronics. 2014, 25(2): 249-263. [19] 郭进利, 祝昕昀. 超网络中标度律的涌现[J].物理学报, 2014, 63(9): 090207. Guo Jinli, Zhu Xinyun. Emergence of scaling in hypernetworks[J].Acta Phys Sin, 2014, 63(9): 090207. [20] Liu Q, Fang J Q, LI Y. Analysis of Layer Cross-degree on Super-network Models [R].Beijing: Annual Report of China Institute of Atomic Energy, 2013. [21] Albert R, Barabási A L. Statistical mechanics of complex networks[J].Rev Mod Phys, 2002, 74(1): 47-97. [22] Wu K, Xi Y J, Liao X. Analysis on current research of supernetwork through knowledge mapping method[C]//6th International Conference on Knowledge Science, Engineering and Management, Dalian, 2013: 15-22. [23] Estrada E, Rodrigues V R. Sub-graph centrality in complex networks [J].Physical Review E, 2005,71(5):1-9. [24] Enokido T, Takizawa M . Purpose-based information flow control for cyber engineering [J].IEEE Transations On Industrial Electronics, 2011: 2216-2225. [25] Xia, Lu, Xing, Qing-Hua, Zou, Zhi-Gang. Supernetwork model of operational system-of-systems for capability emergence[C].The 31st Chinese Control Conference, Hefei, 2012: 1142-1146. [26] Agaskar A, He T, Tong|L. Distributed detection of multi-hop information flows with fusion capacity constraints [J].IEEE Transactions On signal Processing, 2010: 3373-3383. [27] Yao J, Huang J Y, Chen G R. et al. A new coupled-map car-following model based on a transportation supernetwork framework [J].Chin Phys B, 2013, 22(6): 060208.