基于重力模型的枢纽辐射航空网络构建方法及应用

Hub-and-Spoke Airline Network Design and Application by Incorporating Gravity Model

枢纽辐射航空网络中,航线中转造成的航程延长会减少旅客流量。为了在枢纽辐射航空网络规划时,充分考虑航空运输成本节约和旅客量减少造成的社会净收益变化,融合了交通分布重力模型和p-hub枢纽中位问题,给出一种枢纽航空网络设计的新方法,并以社会净收益最大化为目标建立了相应混合整数规划模型。以中国15个城市机场为例,应用以上方法求解,分别在不同参数情况下设计出枢纽辐射航空网络。算例结果表明本文方法有效且实用,可为枢纽网络规划设计应用提供指导。

In hub-and-spoke airline networks, the routes of transit airlines are lengthened, leading to the reduction of customers. Thus, when hub-and-spoke networks are designed, trade-off should be made be- tween the saving of transportation cost and customer reduction. To do so, a new network design method is presented in this paper by integrating the transportation distribution gravity model and p-hub median prob- lem. In so doing, a mathematic optimization model is developed to maximize the social total net welfare. To validate the proposed method, as a case problem, the hub-and-spoke networks connecting fifteen cities in China are constructed with different parameters. With the networks, numerical analysis is carried out. Results show the effectiveness of the proposed method. Thus, the method can be used as assistant in deci- sion making on hub-and-spoke airline network design and application.