This paper studies the container slot allocation problem for time-sensitive cargoes with consideration of dynamic pricing and port congestion under uncertain demand. Time-sensitive cargoes call for express delivery. However, port congestion is a non-negligible factor to affect the delivery time. Hence, a new freight rate function with respect to the delivery time considering port congestion is proposed for time-sensitive cargoes, and two different slot allocation strategies are proposed: Loyal Strategy and Expansive Strategy. Accordingly, we formulate the problem as a one-stage container slot allocation model and a two-stage container slot allocation model, respectively. Both of the two models are stochastic mixed-integer quadratic programming models with chance constraints due to the involvement of dynamic pricing, port congestion, and uncertain demand. To solve the proposed models, a tailored algorithm that combines the Sample Average Approximation approach and the Reformulation Linearization Technique (SAA-RLT) is developed in this paper. Finally, numerical experiments are carried out to verify the applicability and effectiveness of the proposed models and the solution algorithm.

考虑不确定需求下的动态定价和港口拥堵状况，研究时效性货物的集装箱货位分配问题。时间敏感的货物要求快递。但是，端口拥塞是影响交付时间的不可忽略的因素。因此，针对时间敏感的货物，提出了一种考虑到港口拥堵的关于交货时间的新货运费率函数，并提出了两种不同的货位分配策略：忠诚策略和扩展策略。因此，我们将该问题分别表述为一级容器槽位分配模型和二级容器槽位分配模型。这两种模型都是随机混合整数二次规划模型，由于动态定价，港口拥堵，和不确定的需求。为了解决所提出的模型，本文提出了一种结合样本平均近似方法和重构线性化技术（SAA-RLT）的定制算法。最后，通过数值实验验证了所提模型和求解算法的适用性和有效性。