【作者】 陈建华；

【导师】 高自友； 四兵锋；

【作者基本信息】 北京交通大学 ， 交通运输规划与管理， 2007， 博士

【摘要】 随着公路与航空运输的迅速崛起，现有铁路旅客票价机制已不能适应市场竞争的要求，为此，需要推进铁路旅客票价改革，建立灵活的、能适应市场竞争的铁路旅客票价机制。本论文在介绍铁路旅客票价制定的相关理论与方法的基础上，分析了应用双层规划理论来制定铁路旅客票价的优点，指出应用双层规划方法来制定铁路旅客票价的突出优势在于铁路客运部门的票价策略能及时考虑到旅客的选择行为，并介绍了在求解双层规划模型常用到的基于灵敏度分析的启发式算法。本论文主要考虑铁路旅客运输与其它客运方式竞争的情况下，如何制定合适的旅客票价，使铁路客运企业取得最大的经济效益。围绕铁路旅客票价制定优化问题，本论文主要做了以下几方面的工作：1、提出了在弹性需求条件下铁路旅客票价合理制定的双层规划模型，并给出了将弹性需求模型转换成固定需求模型后的求解双层规划模型的灵敏度分析方法，用一个算例说明模型的具体求解过程，分析了铁路票价变化对铁路客流及铁路客运企业的经济效益的影响。2、考虑了不同等级旅客列车的票价制定问题，并用两个相关联双层规划模型来描述铁路与其它客运方式竞争及铁路内部不同等级的列车也存在竞争的票价制定问题，模型以用户盈余最大化为目标来制定铁路客运企业总体票价水平，从企业经济效益最大化的角度来制定不同等级列车的票价。给出了求解这两个相关联的双层规划模型的启发式算法，并用具体的算例论证算法的可行性。3、考虑了列车提速条件下的铁路旅客票价制定问题，分析了列车提速对客流的影响及相应的票价策略，并考虑了票价制定与线路提速方案的优化问题，给出了在资金约束的条件下线路提速方案及铁路旅客票价制定问题综合优化模型及相应的求解算法，并用具体的算例证明算法是可行的。4、总结了城市间旅客运输与城市道路交通出行费用的区别，在此基础上，提出一个新广义出行费用函数，并根据这个函数用Logit模型分配客流，设计了一个考虑列车出发时刻的铁路旅客票价优化模型。5、考虑了铁路客运企业与其它客运方式博弈定价问题，用广义Nash均衡模型来描述不同客运方式的企业为取得本企业最大利润的票价博弈问题，并设计了算例验证算法的可行性，分析了不同运输条件下的博弈效果。更多还原

【Abstract】 In our country, railway passenger-ticket price is determined by government without regarding to the competitive market. It is no longer suitable for the railway transportation to compete with other traffic modes. With the rapid development of the highway and civil aviation, the railway traffic should reform its pricing mechanism to deal with the competition situation. That is to say that the railway department should have the appropriate right to decide its ticket price and the price should reflect the competition.Based on the theories and methods about railway passenger ticket pricing, the bi-level programming theory is introduced. According to the advantage of bi-level programming, passengers’ choice behavior is considered when determining the ticket price. The heuristic sensitivity-based algorithm is introduced to solve the bi-level programming.This thesis investigated how to determine the ticket price to maximize the railway revenue with the competition of several transportation modes. The main works of this thesis are as follows:1. A bi-level programming model is proposed to describe the problem of Passenger-Ticket Pricing under the condition of multi-mode transportation with elastic demands. The elastic bi-level programming is transformed into a fixed one, and then a corresponding heuristic sensitivity-based algorithm is presented. A simple numerical example is given to illustrate the applications of the model and its solution.2. To describe the relationship of passenger-ticket pricing problem between different kinds of passenger trains, a model composed of two related bi-level programming models is proposed. One bi-level programming model aims to decide railway average ticket price optimizing the consumer surplus. The other is to decide railway ticket prices of different passenger trains. The numerical example illustrates that the model is feasible.3. A bi-level programming model is presented to optimize the railway passenger-ticket pricing and train speeding-up scheme under the condition of a certain fund. A heuristic sensitivity-based algorithm is given to solve the bi-level problem.4. By analyzing the characters of the railway passenger transportation, a new method is proposed to measure the generalized travel cost. A Logit model is used to describe the passenger’s mode-choice behavior with the competition of different transportation mode. The optimal railway passenger-ticket price model is presented by considering departing time of the trains.5. A generalized Nash equilibrium model is proposed to describe the game theory problem between the railway department and other transportation corporation. And the price management is analyzed by a numerical example.更多还原