基于拓扑势的作战体系网络节点重要度评估方法

针对传统重要度排序算法无法客观全面评估作战体系中各装备实体重要度的不足，运用复杂网络理论，结合数学中的拓扑学和物理学中的场论思想，提出基于拓扑势的重要度排序方法。通过定义序列距离，引入覆盖率指标，对拓扑势排序结果与常规方法排序结果的相似度进行对比分析。设计一个作战想定示例，对基于拓扑势的重要度排序算法的有效性进行分析验证。结果表明，该算法可以精确客观地量化分析体系中不同装备对体系结构构建以及任务完成能力的支撑作用，为战时兵力部署、指挥体系构建、战场抢修决策提供重要依据。

Research on Evaluation Method of Node Importance of Combat System-of-systems Network Based on Topological Potential

The traditional importance ranking algorithm can not be used to objectively and comprehensively evaluate the importance of each equipment entity in the combat system-of-systems network. An importance ranking method based on topological potential is proposed based on complex network theory combining with the topology theory in mathematics and field theory in physics. A coverage index is introduced to compare and analyze the similarity between the topological potential ranking results and the conventional method ranking results by defing a sequenced distance. An operational scenario is designed to analyze and verify the effectiveness of the importance ranking algorithm based on topological potential. The results show that the proposed algorithm can accurately and objectively quantify the supporting roles of different equipment in the system-of-systems to the construction of the structure and the ability to complete the task, and provide an important basis for the wartime deployment of forces, the construction of command system-of-systems, and the battlefield repair decisions.