Suburban Railway Timetable Optimization Based on Through Operation Mode
The through operation mode is an important part of the integrated regional rail transit system.This paper introduces the minute-dependent passenger flow as the input,takes into account the common benefit of multiple participants,and examines the relationship between the departure time of suburban and the through operation of subway.Considering the constraints of train departure interval and train service capacity,this paper develops an integer programming model from the perspectives of subway operation income and passenger travel quality to optimize subway through operation scheme and suburban timetable.Based on the characteristics of the model,two sets of logic variables are introduced to reconstruct the model.The constraint method is used to transform the model into a single objective optimization model,which is accurately solved by commercial optimization solver Gurobi.Several groups of numerical examples were analyzed based on two rail transit lines.The results show that the through operation of subway can not only save the travel time of passengers but also increase the income of operating enterprises.The proposed subway through operation scheme can increase the revenue of the subway operation company by 18000 RMB.The adjusted suburban timetable can save 8.3%of passenger waiting time,which can better match the spatial and temporal distribution of passenger demand.