The Research Progress of CNT-Based Military Forces System of Systems
WU Zhong-jie1, ZHANG Yao-zhong1, DU Zhi-qiang1, WU Hao2
1. School of Electronics and Information, Northwestern Polytechnical University, Xi’an Shaanxi 710129, China; 2. College of management, Chongqing University of Technology, Chongqing 400050, China
Abstract：In this paper, the concept and characteristics of MF-SoSs are introduced firstly, and it focuses on the development of description and construction of MF-SoSs, inner properties, confrontation ability, effectiveness assessment and evaluation parameters. Finally, the open questions and development trend are summarized and discussed.
吴忠杰, 张耀中, 杜支强, 吴浩. 复杂网络理论下军事体系对抗的研究进展[J]. 复杂系统与复杂性科学, 2014, 11(2): 52-61.
WU Zhong-jie, ZHANG Yao-zhong, DU Zhi-qiang, WU Hao. The Research Progress of CNT-Based Military Forces System of Systems[J]. Complex Systems and Complexity Science, 2014, 11(2): 52-61.
[1] 金伟新.体系对抗复杂网络建模与仿真[M]. 北京:电子工业出版社, 2010:1-21. [2] Sheeba P S, Ghose D. Optimal resource allocation and redistribution strategy in military conflicts with Lanchester square law attrition[J]. Naval Research Logistics, 2008, 55:581-591. [3] 薛青. 装备作战仿真基础[M]. 北京:国防工业出版社, 2010:18-61. [4] 韩晓明, 张金哲, 张君. 基于指数法的航空武器装备对比优势评估模型[J]. 系统工程与电子技术, 2009,31（6):1409-1414. Han Xiaoming, Zhang Jinzhe, Zhang Jun. Model of comparative superiority evaluation for air weapon equipment based on exponent method[J]. Systems Engineering and Electronics, 2009, 31（6):1409-1414. [5] Dekker A H. Applying social network analysis concepts to military C4ISR architectures[J]. Connections, 2002, 24（3):93-103. [6] 李德毅, 王新政, 胡钢锋. 网络化战争与复杂网络[J]. 中国军事科学, 2006,19（3):111-119. Li Deyi, Wang Xinzheng, Hu Gangfeng. Network warfare and complex network[J]. China Military Science, 2006, 19（3):111-119. [7] 王再奎, 马亚平, 桑景瑞,等. 基于复杂网络理论的指挥信息网络拓扑模型研究[J]. 指挥控制与仿真, 2011, 33（2):8-11. Wang Zaikui, Ma Yaping, Sang Jingrui, et al. Research on network topology model of command information system based on complex networks[J]. Command Control & Simulation, 2011, 33（2):8-11. [8] 田旭光,朱元昌,邸彦强.指挥与控制系统复杂网络形式化建模与分析[J].电光与控制,2012, 19（7):23-27. Tian Xuguang, Zhu Yuanchang, Di Yanqiang. Formalized modeling and analysis for C2based on complex networks[J]. Electronics Optics & Control, 2012, 19（7):23-27. [9] 陈丽娜, 黄金才, 张维明. 网络化战争中复杂网络拓扑结构模型研究[J].电光与控制, 2008, 15（6):4-6. Chen Lina, Huang Jincai, Zhang Weiming. Research on complex network topology model of network warfare[J]. Electronics Optics & Control, 2008, 15（6):4-6. [10] 吴俊, 谭跃进, 邓宏钟,等. 基于不等概率抽样的不完全信息条件下复杂网络抗毁性模型[J]. 系统工程理论与实践, 2010, 30（7):1207-1217. Wu Jun, Tan Yyejin, Deng Hongzhong, et al. Model for invulnerability of complex networks with incomplete information based on unequal probability sampling[J]. Systems Engineering Theory & Practice, 2010, 30（7):1207-1217. [11] Ron Johnson. Dynamic complexity in system of systems[R]. USA:Engineering & Technology, Advanced System. The Boeing Company, 2007:1-8. [12] 胡晓峰, 司光亚, 罗批等. 战争模拟:复杂性的问题与思考[J].系统仿真学报, 2003,15（12):1659-1686. Hu Xiaofeng, Si Guangya, Luo Pi, et al. War game and simulation:issues of the complexity and consideration[J]. Journal of System Simulation, 2003,15（12):1659-1686. [13] Ravasz E, Barabsi A L. Hierarchical organization in complex networks[J], Phys Rev E,2003, 67:026112. [14] 胡晓峰. 战争复杂性与复杂体系仿真问题[J]. 军事运筹与系统工程, 2010,24（3):27-34. Hu Xiaofeng. War complex and complex system simulation[J]. Military Operations Research and Systems Engineering, 2010, 24（3):27-34. [15] 杨宏伟,张勇,王焕坤,等. 基于负载流的点加权复杂网络节点重要性评估方法研究[J]. 计算机应用研究, 2013, 30（1):134-137. Yang Hongwei, Zhang Yong, Wang Huankun, et al. New measure of node importance based on load flow in node-weighted complex networks[J]. Application Research of Computers, 2013, 30（1):134-137. [16] 李旭涌,吴晓锋. 舰艇编队作战系统网络效能评估[J]. 舰船电子工程, 2006,26（6):38-42. Li Xuyong, Wu Xiaofeng. Effectiveness evaluation for the combat system network of warship formations[J]. Ship Electronic Engineering, 2006,26（6):38-42. [17] 黄仁全, 李为民, 董雯,等. 不同攻击策略下作战体系网络抗毁性研究[J]. 复杂系统与复杂性科学, 2012, 9（3):62-69. Huang Renquan, Li Weiming, Dong Wen, et al. Research on the invulnerability of combat SoS under different attack strategies[J]. Complex System and Complexity Science, 2012, 9（3):62-69. [18] 吴晓锋, 李旭涌, 陈哗. 舰艇作战系统网络的一种分析方法[J]. 兵工学报, 2007, 28（7):880-884. Wu Xiaofeng, Li Xuyong, Chen Hua. An analytical method for the network of warship combat systems[J]. Acta Armamentarii, 2007, 28（7):880-884. [19] 张明科, 陈政, 于长军,等. 网络化战争中的复杂网络拓扑建模[J]. 航天控制, 2007, 25（4):3-6. Zhang Mingke, Chen Zheng, Yu Changjun, et al. Network modeling in network-centric warfare[J]. Aerospace Control, 2007, 25（4):3-6. [20] 王庆功,沈寿林,袁昌平.基于复杂网络的作战体系网络模型分析[J]. 指挥控制与仿真, 2013,35（1):6-10. Wang Qinggong, Shen Shoulin, Yuan Changping. Combat system network model analysis based on complex network[J], Command Control & Simulation, 2013,35（1):6-10. [21] 杨宇飞, 刘建闯. 通信对抗中关键节点对于地域通信网的意义[J]. 舰船电子工程, 2013, 33（2):21-22. Yang Yufei, Liu Jianchuang. Meaning of key nodes in tactical communication network[J]. Ship Electronic Engineering, 2013, 33（2):21-22. [22] 邱原, 邢焕革. 基于复杂理论的作战网络关键边评估方法[J]. 兵工自动化, 2011, 30（8):22-26. Qiu Yuan. Xing Huange. Evaluation method for critical edge of operation networks based on complex theory[J]. Ordnance Industry Automation, 2011, 30（8):22-26. [23] 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 Maolin, Long Jianguo, Zhang Dequn. Analysis of node’s importance of combat system based on theory of complex networks[J]. Command Control & Simulation, 2010, 32（3):15-17. [24] 谭跃进, 吴俊, 邓宏钟.复杂网络中节点重要度评估的节点收缩方法[[J].系统工程理论与实践2006,11（11):79-83. Tan Yuejin, Wu Jun, Deng Hongzhong. Evaluation method for node importance based on node contraction in complex networks[J]. System Engineering-Theory & Practice, 2006, 11（11):79-83. [25] 陈勇,胡爱群,胡俊,等. 通信网中最重要节点的确定方法[J]. 高技术通讯, 2004,（1):21-24. Chen Yong, Hu Aiqun, Hu Jun, et al. A method for finding the most vital node in communication networks[J]. High Technology Letters, 2004,（1):21-24. [26] Pothen A, Simon H, Liou K P. Partitioning sparse matrices with eigenvectors of graphs[J]. SIAMJ Matrix Anal Appl, 1990, 11:430-452. [27] Newman M E J, Girvan M. Finding and evaluating community structure in networks[J]. Phys Rev, 2004, E69:026113. [28] Lancichinetti A, Fortunato S. Community detection Aalgorithms:a comparative analysis[J]. Physical Review E,2009,80（5):056117. [29] Newman M E J. Fast algorithm for detecting community structure in networks[J]. Phys Rev. 2004, E69, 066133. [30] Li C G, Chen G R. A Comprehensive weighted evolving network model[J]. Physica A 2004,343:288-294. [31] 刘刚, 李永树. 交通流局部单向传输对复杂网络拥塞的影响[J].科学通报,2013,58（4):305-312. Liu Gang, Li Yongshu. Congestion phenomena in complex networks based on local one-way transmission of traffic flow[J]. Chinese Science Bulletin,,2013,58（4):305-312. [32] Lin W, Varshney P K. On survivability measures for military networks[C]//Proceedings of the IEEE Military Communications Conference. US:IEEE Press, 1990:1120-1124. [33] 郭伟. 野战地域通信网可靠性的评价方法[J]. 电子学报, 2000,28（1):3-6. Guo Wei. Reliability evaluating method of tactical communication network[J].Acta Electronica Sinica, 2000, 28（1):3-6. [34] 陈建国,张永静. 通信网络拓扑抗毁性评估算法研究[J].无线电通信技术,2006,32（1):6-7. Chen Jianguo, Zhang Yongjing. Study on evaluation algorithm for topology survivability of communication network[J]. Radio Communications Technology, 2006,32（1):6-7. [35] Carreras B A, LynchV E, Dobson I, et al. Dynamics, criticality and self-organization in a model for blackouts in power transmission systems[C]//Proceedings of 34th Hawaii International Conference on System Sciences. Hawaii, USA, 2002:1-9. [36] Crucitti P, Latora V, Marchiorri M. Model for cascading failures in complex networks[J]. Phys Rev E, 2004, 69:1-4. [37] 任俊亮,申卯兴,仝蕊,等. 网络化作战中通信网络相继故障规模的降低方法研究[J].计算机应用研究, 2010, 27（12):4741-4743. Ren Junliang, Shen Mouxing, Tong Rui, et al. Study of reducing size of cascading failures in communication network of network centric warfare[J]. Application Research of Computers, 2010, 27（12):4741-4743. [38] 代伟权,罗金平. 电子对抗系统信息网络动态易损性分析[J]. 舰船电子工程, 2012,32（10):68-70. Dai Quanwei, Luo Jinping. Analysis of dynamic vulnerability of information networks of ECW system[J]. Ship Electronic Engineering, 2012, 32（10):68-70. [39] 汪小帆, 李翔, 陈关荣. 复杂网络理论及其应用[M].北京:清华大学出版社, 2006:194-240. [40] Wang X F, Chen G R. Synchronization in small-world dynamical networks[J]. Int J Bifurcation and Chaos, 2002, 12（1):187-192. [41] 鲍鲜鲲. 基于复杂网络的作战同步建模与分析[D]. 长沙:国防科学技术大学, 2009. Bao Xiankun. Synchronous operation and analysis based on complex network[D]. Changsha:National University of Defense Technology, 2006. [42] 赵明,汪秉宏,蒋品群. 复杂网络上动力系统同步的研究进展[J].物理学进展,2005,25（3):273-295. Zhao Ming, Wang Binghong, Jiang Pinqun, et al. Recent advancement in research of synchronization of dynamical systems on complex networks[J]. Progress in Physics, 2005, 25（3):273-295. [43] 胡晓峰. 战争复杂性与信息化战争模拟[J]. 系统仿真学报,2006,18（12):3572-3580. Hu Xiaofeng. War complexity and war gaming & simulation in the information age[J]. Journal of System Simulation, 2006, 18（12):3572-3580. [44] 魏小猛. 联合作战体系的整体涌现性[J]. 国防科技, 2010,31（2):59-61. Wei Xiaomeng. Whole emergency of joint operation systems[J]. National Defense Science & Technology, 2010, 31（2):59-61. [45] 谭跃进, 吴俊,邓宏钟. 复杂网络抗毁性研究进展[J]. 上海理工大学学报, 2011,33（6):653-668. Tan Yuejin, Wu Jun, Deng Hongzhong. Progress in invulnerability of complex networks[J]. University of shanghai for Science and Technology, 2011, 33（6):653-668. [46] 吴俊. 复杂网络拓扑结构抗毁性研究[D]. 长沙:国防科学技术大学, 2008. Wu Jun. Study on invulnerability of complex networks topologies[D]. Changsha:National University of Defense Technology, 2006. [47] 邢焕革, 邱原. 基于复杂网络理论的军事力量部署研究[J]. 指挥控制与仿真, 2011, 33（2):5-7. Xing Huange, Qiu Yuan. Study on the military power position based on complex networks theory[J]. Command Control & Simulation, 2011, 33（2):5-7. [48] 林振智, 文福拴. 基于加权复杂网络模型的恢复路径优化方法[J].电力系统自动化,2009,33（6):11-15. Lin Zhenzhi, Wen Fuquan. A new optimization method for determining restoration paths based on weighted complex network model[J]. Automation of Electric Power Systems,2009,33（6):11-15. [49] Park Y M, Lee K H. Application of expert system to power system restoration in sub-control center[J]. IEEE Trans on Power Systems, 1997, 12（2):629-635. [50] 谭东风. 基于网格整体效能的战斗毁伤模型[J].系统工程理论与实践,2013,33（2):521-528. Tan Dongfeng. An attrition model with global network efficiency[J]. System Engineering-Theory & Practice, 2013, 33（2):521-528. [51] 卜广志. 武器装备体系的体系结构与体系效能[J]. 系统工程与电子技术,2006,28（10):1544-1548 Bu Guangzhi. Study on the architecture and effectiveness for armament systems[J]. Systems Engineering and Electronics, 2006, 28（10):1544-1548. [52] 王震雷, 罗雪山. 网络中心作战体系效能评估方法初探[J]. 指挥控制与仿真, 2006,28（3):20-24. Wang Zhenlei, Luo Xueshan. Research on network centric operation system effectiveness assessment methods, command control & simulation, 2006, 28（3):20-24. [53] 张国春,胡晓峰. 体系对抗仿真中体系效能分析初探[J]. 系统仿真学报, 2003,15（12):1698-1701. Zhang Guochun, Hu Xiaofeng. The initial study of SoS effectiveness analysis in SoS combat simulation[J]. Journal of System Simulation, 2003, 15（12):1698-1701. [54] 张明智, 胡晓峰, 司光亚. 基于Agent 的体系对抗仿真建模方法研究[J]. 系统仿真学报, 2005,17（11):2785-2792. Zhang Mingzhi. Hu Xiaofeng. SI Guangya. Et al. Research on modeling method of SoS combat simulation based on agent[J]. Journal of System Simulation, 2005,17（11):2785-2792.
