An integrated approach of timetable and train ratio optimisation based on event-driven model with express/local mode

Abstract

Express/local mode is an innovation combined with both express train and local train in metro system, which can offer conventional service for every station and rapid service for selected stations. The traditional operation planning for express/local mode is often carried out sequentially, leading to sub-optimality in the overall scheme and even an inability to match passenger demand. This paper aims to propose an integrated optimization approach of timetable and train ratio in express/local mode. An event-driven model and a ratio decomposition method are introduced to facilitate modeling of the problem. Then, a Two-stage Active Set Method is designed to solve the proposed model. The approach is verified through an example from Guangzhou Metro Line 14, revealing the correlation between train ratio and passenger waiting time. The results indicate that the approach can effectively allocate capacity resources of trains, leading to a significant 19.2% reduction in passenger waiting time.