摘要
本文以疫情期间国内航空公司推出的有预留座位数保证的随心飞产品为背景,研究了一个两阶段收益最大化问题:第一阶段决策随心飞产品的定价与预留座位数量,第二阶段考虑机票销售过程中的动态容量控制决策。针对第二阶段的问题,基于动态规划方法构建最大期望收益模型,使用确定型线性规划对该模型进行近似和简化,并证明了渐近最优性。原问题继而被转化为一个混合整数非线性规划问题,利用改进的McCormick包络方法对其线性松弛后进行求解。数值算例发现,通过合理的产品设计,在普通机票需求较高的情况下,随心飞产品仍然可以为航空公司带来额外收益,这个结果肯定了后疫情时代随心飞产品的存在价值。数值算例还给出了最优预留座位决策与普通机票价格、随心飞产品需求函数参数之间的关系,为随心飞产品的设计提供了一定的理论指导。
During the covid-19 pandemic,some airlines in China introduced“all-you-can-fly”(AYCF)products that guarantee the number of reserved seats on each flight.We propose a two-stage revenue management problem for the AYCF product.The model decides the selling price and the number of reserved seats in the first stage and allocates the flight seats during the selling period in the second stage.The second stage problem is first formulated as a dynamic programming(DP)model and then approximated by a deterministic linear programming model(DLP).The DLP is asymptotically optimal to the DP model.The two-stage problem is then formulated as a mixed-integer non-linear programming model.We adopt an improved McCormick envelope method to solve the model approximately.The numerical experiment shows that the AYCF can bring extra revenue with proper design,which affirms the value of AYCF in the post-pandemic era.The numerical experiment also gives insights by showing the relationship between the optimal design decisions and parameters of both ordinary demand and AYCF demand.
作者
于海跃
马远征
郑欢
YU Hai-yue;MA Yuan-zheng;ZHENG Huan(Antai College of Economics and Management,Shanghai Jiao Tong University,Shanghai 200030,China)
出处
《工程管理科技前沿》
CSSCI
北大核心
2022年第2期26-33,共8页
Frontiers of Science and Technology of Engineering Management
基金
国家自然科学基金资助项目(71871139)。
关键词
收益管理
航空产品设计
定价
随心飞
revenue management
airline fare product design
pricing
all-you-can-fly
