中文摘要：

科学合理的定价策略可以有效提高铁路运输企业的经济效益和市场竞争力.考虑货运价格与客户需求间的动态作用关系,在弹性需求条件下构建铁路快捷货运产品定价多目标双层规划模型：上层规划模型以铁路运输企业利润最大化和公、铁、航三种运输方式组成的运输系统碳排放最小化为优化目标函数;下层模型为描述货运量在各种运输方式之间分配的用户均衡配流模型.同时设计了基于灵敏度分析法的双层规划模型求解算法,并通过数值算例验证分析了模型应用的可行性和科学性.研究结果表明：面向弹性需求的铁路快捷货运产品定价模型科学合理、简便易行.

英文摘要：

A scientific and reasonable pricing strategy will efficiently improve the economic benefits and market competitiveness of railway transportation enterprises. Considering dynamic relationships between product price and customer requirements, a multi-objective bi-level programming model for railway express freight product pricing based on elastic demand is proposed： the maximization of railway transportation enterprise profit and the minimization of transportation system＇s carbon emissions are considered as objective functions in the upper level model; and the lower level is a traditional Wardrop User Equilibrium（UE） model to assign customer demands among different freight products. Furthermore, a solution algorithm on the basis of sensitivity analysis is designed to solve the problem. At last, the feasible and scientific of the bi- level programming model is demonstrated by a numerical example. The results show that the elastic demand oriented railway express freight product pricing model is simple, accurate and reliable.