不确定需求下铁路集装箱班列开行方案与定价联合优化  

Joint Optimization of Operation Planning and Pricing for Rail Container Trains under Uncertain Demand

作　　者：李琳[1,2] 张小强 LI Lin;ZHANG Xiaoqiang(College of Transport and Communications,Shanghai Maritime University,Shanghai 201306,China;School of Transportation and Logistics,Southwest Jiaotong University,Chengdu 611756,China;National Engineering Laboratory of Integrated Transportation Big Data Application Technology,Southwest Jiaotong University,Chengdu 611756,China;Lab of National United Engineering Laboratory of Integrated and Intelligent Transportation,Southwest Jiaotong University,Chengdu 611756,China)

机构地区：[1]上海海事大学交通运输学院,上海201306 [2]西南交通大学交通运输与物流学院,四川成都611756 [3]西南交通大学综合交通大数据应用技术国家工程实验室,四川成都611756 [4]西南交通大学综合交通运输智能化国家地方联合工程实验室,四川成都611756

出　　处：《铁道学报》2024年第1期22-33,共12页Journal of the China Railway Society

基　　金：国家自然科学基金(U2368212)。

摘　　要：铁路集装箱班列开行方案与运价是影响铁路集装箱运输企业盈利的两个关键因素,且这二者相互联系、相互影响,对其进行联合优化可以提升铁路集装箱运输的市场竞争力。以最大化铁路集装箱运输预期利润为目标,构建联合优化班列开行方案与定价的随机混合整数非线性规划(SMINP)模型。此模型以二项Logit模型描述托运人在铁路集装箱运输与公路集装箱运输之间的运输方式选择行为,在集装箱总运输需求概率分布形式、一阶矩与二阶矩均不确定的情形下,基于分布鲁棒优化方法将此SMINP模型转化为其确定性等价类,根据转化后模型特点进一步利用增量分段线性化以及McCormick包络法对模型线性化,使其可通过调用Gurobi求解器高效求解。以大朗至大红门铁路集装箱运输线路进行算例分析,在线路通过能力与运价可变动范围等信息已知的前提下,求得最优集装箱班列开行方案与运价。算例结果表明本文所提方法能够提升铁路集装箱运输效率与收益。The operation plan and freight rate of rail container trains are two key factors that affect the profitability of rail container transportation enterprises.Joint optimization of these two factors,which are interrelated and influence each other,can improve the market competitiveness of rail container transportation.In this paper,a stochastic mixed-integer nonlinear programming(SMINP)model for jointly optimizing the operation plan and freight rate of rail container transportation was proposed to maximize the expected profit.A multinomial Logit model was used to describe the shipper’s mode choice between rail and road container transportation.In the case of uncertainty in the probability distribution,first-order moment and second-order moment of the total container transportation demand,the SMINP model was transformed into a deterministic equivalent class by using the distributionally robust optimization method.According to the characteristics of the transformed model,the incremental piecewise linearization and McCormick envelope method were employed to linearize the model,enabling it to be solved efficiently by calling the Gurobi solver.Based on the analysis of the Dalang to Dahongmen rail container transportation line,the optimal container train operation plan and freight rate were obtained under the given information such as the line’s capacity and the variable range of freight rates.The results show that the efficiency and profitability of rail container transportation can be improved by the method proposed in this paper.

关 键 词：铁路集装箱运输 开行方案 定价 分布鲁棒机会约束 线性化 

分 类 号：U294.3[交通运输工程—交通运输规划与管理]