Mathematical modeling of operation loop ratio and its effect in combat networks

This paper proposes a mathematical modeling of operation loop ratio (OLR) for assessing the importance of nodes within a combat network. Traditional models or indicators for evaluating node importance focus on the structural characteristics of a single node's neighborhood, neglecting the supporting role of nodes in the overall performance of the network system during actual combat. Therefore, we propose the OLR to comprehensively consider the overall role of nodes in multi-layer combat networks and accurately rank the importance of all nodes. To verify the accuracy of the OLR model, we improved the combat network capability degradation model based on the aggregation of operation loops. In addition, we conduct a comprehensive correlation analysis between the proposed OLR model and several other indicators, and implement a prioritization strategy for node importance, these are to ensure the feasibility and scientific nature of the model. Finally, we conduct comprehensive quantitative experiments on four different scales of combat networks, and the results confirm the precision and effectiveness of the OLR model in assessing important nodes within combat networks.