针对\, USApHMP\, (无容量限制的单分配枢纽网络设计)方法忽略了航空公司航线运力配置 决策对单位客流量成本的影响问题, 以枢纽机场选址、确定枢纽与非枢纽连接关系、航线机型及其 频次选择为决策变量, 综合考虑各城市对市场需求量、航线最大飞行频次、机队可用飞行时间等 限制因素, 以实现航线运力配置成本和枢纽设置成本最小化为目标函数, 建立航线机型匹配及频 次选择问题和\, USApHMP\, 问题的联合决策优化模型, 设计遗传算法进行求解. 算例分析表明: 考虑 \;4\;种机型、\;10\;个城市和 \;90\;个城市对的情况, 与传统枢纽网络设计方法相比, 联 合决策模型的网络总成本降低了\;9.39$\mathrm{\%}$, 且航线最大飞行频次是影响枢纽网络设计方案的重要因素.

In order to solve the problem of USApHMP (uncapacitated single allocation $p$-hub location) method neglecting the influence of airline fleet capacity allocation decision on unit passenger flow cost. The location of the hub airport, the connection between hub and non-hub, the selection of the route type and its frequency were regarded as decision variables．The limitations including the passenger demand on each itinerary, available flying frequency on each flight leg, and available block time of each fleet type were considered as constraints. A joint decision mathematical model of fleet route allocation, frequency selection and USApHMP problem was constructed, whose optimization objective was to minimize fleet capacity allocation cost and hub setting cost of airline companies, and which can be solved by a genetic algorithm. The result of example analysis shows that: Take 4 models, 10 cities and 90 pair-cities into consideration, and compared with the traditional hub route network design method, the total network cost of the joint decision model is reduced by 9.39$\mathrm{\%}$, and the route maximum flight frequency is an important factor affecting the hub network design.