地铁列车到发均衡与节能协同优化模型OA

[Objective]As the operating environment of rail transit changes,train delays occur frequently,which not only increase passenger travel time and train energy consumption but also affect the equilibrium of train arrivals and departures at stations.To address real-time train operation adjustment in rail transit,this study investigates balanced arrival-departure operation adjustment and energy-saving optimization strategies for train delays in sections.[Methods]A collaborative optimization model for train operation adjustment and energy-saving control was established with the dual objectives of minimizing the deviation in train arrival-departure equilibrium and terminal arrival time,as well as minimizing total energy consumption.The model comprehensively considered constraints including section operation,station operation,and train traction characteristics.In the model solution process,a generalized railway simulation software was first used to obtain an energy consumption dataset under different section running times.Then,an improved NSGA-Ⅱ algorithm was designed to obtain the Pareto front of"total energy consumption-total timetable deviation".Finally,a metro line in Nanjing was used as a case study to derive adjustment schemes with different energy consumption levels and total deviations under delay disturbances.[Results]Compared with the conventional timetable adjustment scheme with the minimum delay,the proposed method reduced train energy consumption by 18.93%,improved arrival-departure equilibrium by 8.65%,and reduced terminal delay by 4.48%,all outperforming the minimum-delay scheme.The study shows that the collaborative model for train operation adjustment and energy-saving control based on dual-objective optimization can effectively balance train energy consumption and timetable deviation,achieving energy-saving optimization while maintaining timetable order.[Conclusion]This method can provide a theoretical basis and technical support for train operation adjustment and energy-saving control during delay recovery in rail transit.