基于需求弹性的多模式铁路客运票价优化模型及算法
Optimization model and algorithm for multimodal railway-passenger transportation fares based on demand elasticity
王红印 1袁媛 1崔鸿蒙 2郑宣传 3四兵锋2
作者信息
- 1. 郑州地铁集团有限公司,河南郑州 450000
- 2. 北京交通大学系统科学学院,北京 100044
- 3. 北京城建设计发展集团股份有限公司,北京 100037
- 折叠
摘要
为增强铁路客运市场竞争力、提高其运营收入,对多模式铁路客运票价的多目标系统优化问题进行了研究.采用变分不等式模型对不同铁路客运产品客运需求之间的平衡关系进行描述,采用灵敏度分析的方法给出了多模式铁路客运产品需求弹性的计算方法,并构建了多模式铁路客运的市场需求函数;在此基础上,综合考虑了铁路客运企业的市场需求、客运收入、利润以及旅客出行费用等多个优化目标,提出了多目标双层规划模型来描述多模式铁路客运票价的系统优化问题.最后,采用北京至天津的真实铁路客运数据对提出的模型进行验证.结果表明本文提出的票价优化方法可以有效兼顾客运需求、客运收入以及利润等多个指标,为铁路客运部门在不同市场竞争阶段制定科学合理的铁路客运票价体系提供参考和支撑.
Abstract
To improve the competitiveness of the railway-passenger transportation market and increase its operational revenue,this study investigates the multiobjective system optimization issue of multimodal railway-passenger transportation fares.A mathematical model was used to describe the equilibrium relationship among the demands of different railway-passenger transportation products.Sensitivity analysis was performed to provide a calculation method for the demand elasticity of multimodal railway-passenger transportation products,and a market demand function for multimodal railway-passenger transportation was formulated.Considering multiple optimization objectives such as market demand,passenger transportation revenue,and profit of railway-passenger transportation enterprises along with passenger transportation costs,we proposed a multiobjective bi-level planning model for describing the system optimization issue of multimodal railway-passenger transportation fares.Finally,we used real passenger transportation data of the railway line between Beijing and Tianjin to validate the proposed model.The results show that the proposed method can effectively balance multiple objectives such as passenger transportation demand,passenger transportation revenue,and profit,providing reference and support for railway-passenger transportation departments to develop scientifically reasonable fare systems in different market competition stages.
关键词
铁路客运/铁路客运票价/需求弹性/多目标/双层规划Key words
railway-passenger transportation/railway-passenger fare/demand elasticity/multi-objective/bi-level planning引用本文复制引用
基金项目
北京市自然科学基金-丰台轨道交通前沿研究联合基金资助(L211026)
出版年
2024
国家科技期刊平台
NSTL
万方数据