| With the rapid development of the information technology,the modern combat patterns have been greatly changed,and the interdependences among different weapons have also been more and more complex,which are mostly not preset,posing a challenge to the modeling and evaluation of the weapon system-of-systems.The network-based method can well reflect the relationship between various weapons in the system-of-systems,and it has been widely used in weapon system-of-systems modeling and evaluation analysis so far.However,most of the existing researches are limited to static network modeling and cannot reflect the complex dynamic interaction relationships among different weapons.By analyzing the interdependences among weapons,this paper establishes a three-layer supernetwork model for the weapon system-of-systems,including the logistic layer,the index layer and the interaction layer considering the static logical interdependence relationships among equipment nodes,the influence relationship among equipment index nodes,and the actual dynamic interaction relationships among different weapons in the combat process,respectively.On the basis of the supernetwork model,the combat capability and operational effectiveness of the weapon system-of-systems are evaluated,which can provide a theoretical support for the development and construction of the weapon system-of-systems.This paper focuses on the combat capability and operational effectiveness evaluation method of the weapon system-of-systems based on the supernetwork model,and further analysis of the weapon importance,index sensitivity,and equipment interaction interface risk are conducted.The main work of this paper includes:(1)The three-layer supernetwork modeling of the weapon system-of-systems based on the weapon interdependences.Considering the similarity of the supernetwork and the weapon system-of-systems network structure,this paper models the weapon system-of-systems from the three supernetwork layers of logistic,index and interaction,providing a foundation for latter system evaluation and analysis.(2)The combat capability assessment method of the weapon system-of-systems based on the logic-indicator subnetwork.Firstly,based on the logic layer and index layer network data,and considering the influence relationships among weapon indictors and the logistic relationships among different weapons,the concept of index-capability mapping link is presented,and the corresponding index weight calculation technique is proposed.Then,by aggregating the weapon unit capability and the operation loop capability,the system-of-systems overall capability is calculated.Finally,we analyze the weapon importance to find the weapon contribution to the system,and calculated the indicator sensitivity to find the indicator importance to the system,which confirmed the validity of the index weight calculating method based on index-capability mapping links,and the necessity of considering the influence relationships among indicators during the process of analyzing the system-of-systems combat capability.(3)The operational effectiveness evaluation method of the weapon system-of-systems based on interaction-index subnetwork.Considering the relativity of the system-of-systems combat capability,the dynamic operational effectiveness is further analyzed from the perspective of combat process.We extend the traditional concept of operation loop to the temporal operation loop considering the factors such as weapon real-time location,the interaction interface type,the valid communication distance,etc.,and analyze the structural evolution of the weapon system-of-systems network during the combat process.Based on this,the target reachability analysis and the system operational efficiency evolution analysis method are proposed.Through the operational effectiveness evaluation,we also analyze the weapon importance with time,and conduct the interdependence interface risk analysis to judge the influence to the system-of-systems operational effectiveness after certain interface becoming invalid,providing a support for the system weak points identification.(4)Conduct an example study.Apply the proposed weapon system-of-systems combat capability and operational effectiveness evaluation methods to a specific weapon system-of-systems to verify the validity and rationality of the proposed method. |