基于功能脆弱性的空中交通相依网络流量分配

依据空中交通管理与航班运行规则，采用复杂网络理论构建由机场、航路与管制扇区组成的相依网络模型，建立不同扰动策略的影响规则，提出以网络流量熵和交通流损失比变化率为指标识别网络功能脆弱性。并以网络总流量熵最小为目标，建立基于改进遗传算法的网络流量协调分配策略，以降低空中交通相依网络的脆弱性。以民航华北地区空域为原型，发现了其相依网络脆弱性表现规律和脆弱源，采用遗传算法求解网络流量分配方案，优化结果降低了网络总熵值和功能脆弱性，其中机场网络流量分配后效果最为显著，验证了方法的有效性，研究结果可为空中流量管理决策提供一定的理论支撑。

Flow allocation of air traffic interdependent network based on functional vulnerability

According to rules of air traffic management and flight operation, a dependent network model is constructed with airports, routes, and control sectors based on the complex network theory. The influence rules of different disturbance strategies are established. A method for identifying network functional vulnerability by changing rate of network flow entropy and flow loss rate is proposed. In order to reduce the vulnerability of air traffic dependent networks, a coordinated network traffic allocation algorithm based on the improved genetic algorithm is proposed, which takes the minimum total network traffic entropy as the objective function. Taking the airspace in North China as the prototype, the vulnerability occurrence rules and causative factors of the dependent network are identified. Based on this, the genetic algorithm is adopted to obtain the best flow allocation, and the optimized results effectively reduced the functional vulnerability and the total network traffic entropy. Among them, the effect of airport network traffic allocation is the most remarkable, verifying the effectiveness of the method. The research results can provide theoretical support for air traffic management decision-making.