中文摘要：

合理的列车停站方案对高速铁路运输计划的制定具有重要的现实意义，既有停站方案的编制受到各种技术与政策因素的影响，一般采用人工方法反复调整确定。本文提出一种基于节点服务的高速铁路列车停站方案优化模型，该模型的特点是将不确定性和不易量化的因素统一用节点服务表示，以方案总停站次数最少为目标，将节点服务频率、站间服务可达性、单个列车停站次数等作为主要约束条件，构建带有叉乘约束的非线性规划模型。运用停站概率与计算机模拟结合的方法有效解决了模型求解的问题。通过模型灵敏度分析发现，单个列车停站次数约束是影响停站方案求解可行性的关键问题。最后，以国内某高速铁路为例，进行实践应用，表明模型具有较好的可用性。

英文摘要：

Rational stopping schedules are of practical significance in formulating high-speed railway operation plans. Conventional stopping schedules are usually fixed through repeated manual adjustments and this is due to the influence of various technique and policy factors. In this paper,the high-speed railway stopping schedule op- timization model was put forward, which was based on node services. Referring to the features of the model,the uncertain and not easy to be quantified factors were turned to be described as node services, to minimize the to- tal number of stopping was set as the target of the model and the node service frequency, inter-station service accessibility and number of one-train stopping were made the main constraints of the model. The model was a non-linear planning model with the cross-product constraint. The model was solved by combining stopping probability with computer simulation. Through model sensitivity analysis, it was found that the number of onetrain stopping is the key issue to influence the feasibility of stopping schedules. The model was applied on a high speed railway line in China for case studyThe model is proved to possess good usability.