合理制定铁路客票价格的优化模型及算法

Optimal model and solution algorithm for railway passenger ticket pricing

在充分考虑出行者和铁路客运部门两方面的利益情况下 ,提出一个双层规划模型以得到在多种交通方式竞争条件下的铁路客票价格制定的最优策略 .既保障了出行者使自己的广义出行费用最小 ,又能使铁路客运部门在运输市场竞争中取得的经济效益最大 .并且给出了求解该模型的 SAB算法。

In this paper,the benefits of passengers and railway departments are both considered and a bi level programming approach is presented in order to seek the optimal railway passenger ticket price under the competition between different inter city traffic modes.The lower level problem represents an equilibrium model that describes passengers'mode choice behavior under the condition of multimodal transportation. The upper level problem is to determine railway passenger ticket price to maximize the revenue of railway departments while considering passengers'mode choice behavior. A heuristic algorithm for the bi level railway passenger ticket pricing problem is also proposed. Finally the applications of the model and its algorithm are illustrated with a numerical example.