A Dynamic Pricing Model for Container Shipping Two-Dimensional Revenue Management with Multiple Segments and Container-Types

A stochastic model for dynamic pricing with multiple segments and multiple container types of container shipping two-dimensional revenue management is brought forward. The bound of the value function of the model is proved and a more practical heuristic is presented based on the thought of reducing the dimensionality. It is illustrated that a set of critical decision values can be gained when there is one segment and one container type or there are two segments and one container type. The dynamic pricing strategies are analyzed when there is one segment and one container type, there are one segment and multiple container types and there are multiple segments and multiple container types in numerical examples. The analysis results show that the optimal price is monotonic in the first case, but is not necessarily monotonic in the second and third case.