As a traditional way for transporting containerized cargoes, international liner shipping has long played a dominant role in the China-Europe freight transportation market. In recent years, China Railway Express has offered a new and competitive freight transportation option, contributing to a significant increase in the trade volume by rail between China and Europe. With the goal of providing a holistic computational tool that can predict and analyze the spatial distribution of containerized freight flows and suggest strategic transportation infrastructure and service expansion options, this paper develops and implements a multimodal multicommodity freight transportation network equilibrium model, based on a newly constructed supernetwork integrating international liner shipping lines, international freight rail services, and international and domestic highway networks in relevant countries. The combined transportation mode-route choice behavior of individual shippers is characterized by the widely used multinomial logit model, where the values of time of different commodity categories are included in its utility functions. The congestion effects arising from bottleneck facilities along liner shipping and freight rail lines (i.e., seaports, water channels, and break-of-gauge stations) are first captured by queueing models and then approximated by polynomial delay functions, while the accommodation capacity of individual service lines is explicitly embedded into the model as hard constraints. This supernetwork equilibrium model is tackled by a subgradient algorithm in the Lagrangian relaxation framework embedding a disaggregate simplicial decomposition algorithm. Computational experiments are conducted with a multi-layer, hetero-structure set of supply and demand data collected from multiple data repositories, government agencies, freight carriers, and research papers and reports. The preliminary results exhibit the computational performance of the solution procedure and reveal the variation of congestion levels of bottleneck facilities, capacity usage profiles of service lines, and competitiveness conditions between liner shipping and freight rail services under different monthly demand patterns.

国际班轮运输作为传统的集装箱货物运输方式，长期以来在中欧货运市场占据主导地位。近年来，中欧班列提供了一种新的、具有竞争力的货运选择，为中欧铁路贸易量的显着增长做出了贡献。为了提供一个可以预测和分析集装箱货运流空间分布的整体计算工具，并提出战略性交通基础设施和服务扩展方案，本文基于一个新构建的多式联运多商品货运网络均衡模型开发和实施集国际班轮航线、国际货运铁路服务、以及相关国家的国际国内公路网。个体托运人的联合运输方式-路线选择行为以广泛使用的多项logit模型为特征，其中不同商品类别的时间值包含在其效用函数中。班轮和货运铁路沿线的瓶颈设施（即海港、航道和换轨站）产生的拥堵效应首先通过排队模型捕获，然后通过多项式延迟函数进行近似，而个体的容纳能力服务线作为硬约束明确嵌入到模型中。这个超网络平衡模型是通过在拉格朗日松弛框架中嵌入分解单纯分解算法的次梯度算法来解决的。计算实验是使用从多个数据存储库、政府机构、货运公司以及研究论文和报告中收集的多层、异质结构的供需数据集进行的。初步结果展示了求解过程的计算性能，并揭示了不同月需求模式下瓶颈设施的拥堵程度、服务线路的容量使用情况以及班轮运输和货运铁路服务之间的竞争条件的变化。