Optimization of Stops in Common Section of "Double Y-shaped" Feeder Bus Routes Based on Competing Theory

The integration of rail transit and ground buses is an effective approach for promoting public transportation in urban transportation systems. Owing to the increasing expansion of rail transit networks, the existing feeder bus lines can no longer satisfy the increasing demand for commuting, and problems such as high operating costs and low operating efficiency have emerged. Optimizing the selection connecting stations and routes is key to the planning of rail-connecting bus networks. In this study, to mitigate resource wastage and long passenger travel time caused by the duplication of stations in the common line section of the "double Y-shaped" feeder bus line, an optimization method of stopping and skipping bus lines based on competition theory is proposed. Additionally, the passenger travel time cost and the operating cost of the bus enterprise are reduced by optimizing the number of duplicated stations in the common line section and the number of passengers in the line at the station. The number of duplicated stops in the common line segment and the passenger flow at the stop provide the competing intensity constraints of the bus line, thus enabling a stop-hopping optimization model of the bus line's common line segment to be established. The model is validated using the bus IC card data of Beijing, China using the NSGA- TJ algorithm as an example. The results show that, compared with the results of the existing stopping scheme, the optimized passenger on-travel time reduced by 22. 5%, and the operating cost of the bus enterprise are reduced by 32. 1%. This study provides targeted suggestions for enhancing the efficiency of feeder-bus travel. © 2024 Chang'an University. All rights reserved.