基于双层优化模型的航路交叉角度设计

航路交叉角度是影响交叉点运行安全和效率的重要因素。针对多条航路交叉于一点的航路交叉结构,同时考虑多个高度层的运行以及航空器速度的变化,依据悲观决策原则,建立了航路交叉角度设计的双层优化模型。根据下层规划特点,证明了下层规划的最优解在速度区间的边界处取得,设计遗传算法求解上层规划。最后,根据实际运行中的航空器速度区间和航空器类型比例,设计3条航路交叉的算例验证模型方法的可行性和有效性,并分析了航路流量比例和速度区间对最优交叉角度的影响。

Air Route Crossing Angle Design Based on Bi-level Optimization Model

Route crossing angle play an important role in the safety and efficiency of intersection operation. Aiming at the intersection structure of multiple routes at one point, operations of multiple flight level and change of aircraft velocity are considered at the same time, a bi-level optimization model is established for air route crossing angle based on principle of pessimistic decision-making. According to the characteristics of the lower level programming, it is proved that the optimal solution of the lower level programming is obtained at the boundary value of the velocity interval, and a genetic algorithm is designed to solve the upper level programming. Finally, based on the aircraft speed range and aircraft type ratio in actual operation, examples for three routes intersection are designed to verify the feasibility and effectiveness of the model and method, and the influence of the route flow ratio and speed interval on the crossing angle is analyzed.