基于空铁联运OD可达性的高铁时刻表优化模型

空铁联运的优势之一在于提高客流起讫点(Origin-Destination，OD)的可达性，为机场所服务的地区提供更多出行机会。考虑“高铁接续航空”“航空接续高铁”两类接续服务，引入两类0-1 变量表达高铁与航空的接续关系及OD可达关系，提出空铁联运OD可达性约束，描述高铁在空铁换乘枢纽的到发时刻、接续变量和OD可达变量之间的关系。针对关键空铁联运OD，在固定航班时刻表的前提下，基于既有高铁时刻表，通过调整列车在各个车站的到发时刻，构建可达OD数量最大、时刻表调整最小的双目标高铁时刻表优化模型。以石家庄正定机场为案例，使用京广高铁中北京-郑州区间的实际运行数据，运用 ILOG CPLEX 进行求解，验证模型的有效性和可行性。结果表明，优化模型可以有效提高空铁联运OD可达数量。

A Timetabling Model for High-speed Railway Based on Accessibility of Air and High-speed Rail Intermodality Service

One of the advantages of the air and high- speed rail (AH) intermodality service is that it improves OD (Origin-Destination) accessibility and further provides more opportunities for the areas served by the airport. Two types of services, namely“high-speed railway to air”and“air to high-speed railway”are considered in the AH intermodality service. Two kinds of variables are introduced to express the connections between trains and flights as well as OD accessibility. And OD accessibility constraints for the AH intermodality service are proposed to depict the relationship between arrival times and departure times of trains, connection variables, and OD accessibility variables. Based on key ODs of AH intermodality service, given the flight timetable and original high-speed rail timetable, the paper proposes a bi-objective optimization model to maximize the number of ODs and minimize the shift of timetabling by adjusting the arrival time and departure time at each station. A case study of Shijiazhuang Zhengding Airport is then processed to verify the validity and feasibility of the model with the practical data of Beijing- Zhengzhou section in the BeijingGuangzhou high- speed rail corridor, and it is solved by ILOG CPLEX. The result shows the proposed model can improve OD accessibility of the AH intermodality service.