Collaborative Optimization for Overnight Train Service Plan of High-speed Railway Express
To organize the overnight train of high-speed railway express,the interplay among the high-speed rail express demand,train operation and maintenance window setting should be addressed.Oriented by the demand of high-speed rail express,this study collaboratively optimizes the express service plan to determine train timetable,express demand assignment and maintenance window setting.Under the mode of segmented rectangular maintenance window,it aims to minimize stranded express demand while ensuring express delivery timelines.The constraints of train operation,express delivery,and maintenance window setting are comprehensively considered.Then,a mixed integer nonlinear programming model is formulate for the high-speed rail express service plan.In order to reduce the difficulty of solving the model,a set of auxiliary variables are introduced to linearize the nonlinear objective function.The commercial optimization software GAMS with CPLEX solver is used to solve the model.Taking the Nanjing-Hangzhou high-speed railway as a case study,a comprehensive overnight express service plan is obtained after 51 minutes of calculation based on parameter sensitivity analysis.The result illustrates that all 4000 planned shipments were served by the overnight express train,obtaining the optimal matching between high-speed rail express demand and trains.All shipments were delivered to their destination before 7:00 AM the following day,achieving the"next-morning arrival"rapid transit service.Additionally,the designated maintenance windows met the comprehensive maintenance requirements of the rail line.This study provides a decision-making basis for the high-speed express dispatching and train organization and provides a certain reference for the railway department to organize the future high-speed express night trains operation.