基于边权拓扑的作战体系演化生长模型

Evolutionary model for military forces system of systems based on topological weighed networks

为探寻信息化时代的战争规律,对使用兰彻斯特方程集判定各项作战能力指标的方法进行补充.初步探讨将复杂网络理论引入信息化作战体系的研究,在分析作战体系关键特征的基础上,将各作战单元间的关系进行数学抽象,使用加权的拓扑模型动态模拟其演化生长,得到与实际数据相符的作战体系边权演化模型.仿真实验得到的结论是,作战体系具有幂律性质所反映出的自相似性,具有一种分形结构.并将加权网络的同步能力引申为体系作战能力,应用于辅助作战分析决策,取得了良好效果.

In order to explore the laws of informational warfare, the paper improved the method of using Lanchester equations to determine combating capability index, and studied how to introduce complex network theory into the research on military forces SoSs （system of systems）. On the basis of analyzing key features of military forces SoSs, this paper abstracted mathematical relations between combat units, simulated their dynamic evolution by means of weighed topology model and obtained an evolutionary model for the SoSs,which is consistent with real data. Through simulation, this paper draws the conclusion that military forces SoSs has the character of self-similarity which is reflected with the power law, also has a fractal structure. To apply this model to auxiliary operational analysis, the paper extended the synchronixing capability of weighted net to the operational capability of the SoSs and achieved good results.