中文摘要：

城市轨道交通的列车开行方案直接影响乘客的出行费用,需要根据客流的需求弹性制定。针对目前城市轨道交通规划和运营实际,将列车开行方案归结为列车编组、开行时段,以及各时段每一列车交路的列车数量。在分析乘客广义出行费用的基础上,构造乘客出行的弹性需求函数,将乘客乘车选择归结为具有能力约束的弹性需求用户均衡问题。进而利用城市轨道交通营运企业与乘客之间的博弈关系,对列车开行方案相关的费用、效益等优化目标和约束条件进行分析,建立基于弹性需求的城市轨道交通列车开行方案的多目标双层规划模型,并设计基于模拟退火算法的优化算法。针对长沙地铁2号线的应用表明,优化方法具有较高求解效率和较好求解质量。

英文摘要：

In urban rail transit, a train plan directly influences passengers＇ travel costs, thus it should be made according to passenger travel demand. According to the current status of construction planning and operation of urban rail transit, the train plan consists of train formation, train operation periods and the number of corre- sponding trains for each routing in each period. On the basis of analyzing general travel costs of passengers, the passenger travel elastic demand function was established. Then the choice of passenger travel behavior came down to the distribution of user equilibrium with elastic demand and capacity constraints. According to the game relationship between passengers and the operator, the constraints and optimal objectives that include the correlated costs and benefits in passenger train plan were analyzed. The multi-objective bi-levet programming model of train plans with elastic demand was put forward, and the optimal algorithm based on the simulated annealing algorithm was designed. The instance of Changsha Metro Line 2 validates the high solution quality and efficiency of this approach.