边攻击下非对称相依作战网络级联失效模型

复杂网络理论在作战网络中的应用是一个全新的研究视角,也是探索网络结构和功能之间关系的有力手段.为研究负荷作用下相依作战网络的级联失效过程,首先依据军事系统的实际交联关系构建了非对称双层相依作战网络模型;然后改进了基于本地负荷重分配的非线性"负荷-容量"模型来研究连边的失效及负荷传递,计算了级联失效模型的计算复杂度;最后仿真分析了连边遭受蓄意攻击时,连边负荷及容量与网络级联抗毁性的关系,并与WS-WS对称网络模型进行对比.仿真结果表明:无论是孤立状态还是相依状态下,网络的级联抗毁性与连边容量变化呈正相关,而与负荷的变化呈负相关;相依网络的级联抗毁性比孤立网络要差,并且相依网络级联失效的过程更缓慢;孤立C2网络中的层级加权结构使得级联失效过程中出现短暂的平台期;与对称WS-WS相依网络相比,非对称作战网络的级联抗毁性更差.在非对称相依网络中,子网之间的级联抗毁性不同,而在相依对称网络中,子网的级联抗毁性几乎相同.

Cascading failure model of asymmetrical interdependent operational networks under edge attack

The complex network theory provides a new perspective in the study of operational network, a powerful method to investigate the relationship between network structure and function. To study the load-induced cascading failure of interdependent operational networks, two-layered asymmetrical interdependent network is constructed according to the interactive relationship of military system. Then, an improved "load-capacity" model based on local load redistribution is proposed to study the edge failure and load transfer, and the computation complexity of the cascading model. Thirdly, the influence of edge load and capacity on the cascading invulnerability is simulated under malicious edge attacks and compared with a WS-WS symmetrical interdependent network. The results show that the robustness against malicious attacks is positively related to the capacity, yet negatively to the load either in isolated or interdependent state. A short plateau appears in the progress of cascading due to the hierarchical weighted structure of C2 subnet under isolated status. The cascading invulnerability of asymmetrical interdependent operational networks is worse than the symmetrical one. The two subnets in the former network have different invulnerability performances, while the subnets in the latter system almost have the same performance.