为了解决城市轨道交通运输组织中的列车停站问题,考虑列车停站与客流换乘选择之间的主从博弈关系,建立了城市轨道交通组合型停站方案的0-1双层规划数学模型。上层停站模型以运营收益最大化为目标,以车站停站下限为约束;下层乘客路径选择以总旅行耗费时间最少为目标,乘车径路连续性和可行性为约束。根据双层规划模型特点分别对决策变量、目标函数和约束条件整合处理并通过优化软件求解。通过算例分析了参数的敏感度,并证明了模型的可行性和有效性。实例应用证明了组合停站更适用于特殊空间分布的客流。
In order to solve the urban rail train stop schedule problem,considered master-slave game relation between train stop schedule and transfer choice,this paper developed a 0-1 bi-level mathematical programming model for urban rail transit special stop schedule scheme.The upper level model was stop schedule target at maximizing profit,with the lowest limit con-trol of stops at station as constraints.The lower level model was passenger transfer options aim to minimize total travel time consuming,with route continuity and feasibility as constraints.Then,it simplified the bi-level model to be single-level model according to its features in order to be directly solvable by optimizing software.Finally,it applied sensitive analyze in experi-ments,which had been proved practical and efficient.The results show that combined stop schedule is more suitable for some special flow.