Optimization of train plan for urban rail transit in the multi-routing mode

The train plan of urban rail transit under multi-routing mode can be divided into three parts:train formation,train operation periods and corresponding train counts of each routing in each period.Based on the analysis of passen-ger's general travel expenses and operator's benefits,the constraints and objective functions are defined and the multi-objective optimization model for the train plan of urban rail transit is presented.Factors considered in the multi-objective optimization model include transport capacity,the requirements of traffic organization,corporation benefits,passenger demands,and passenger choice behavior under multi-train-routing mode.According to the characteristics of this model and practical planning experience,a three-phase solution was designed to gradually optimize the train for-mation,train counts as well as operation periods.The instance of Changsha Metro Line 2 validates the feasibility and efficiency of this approach.