Abstract This paper develops a multi-modal competitive hub location pricing problem whose target is the design of a transportation system for a company that plans to enter into a market with elastic demand, in which an existing transportation company operates its hub-and-spoke network. The entrant company aims to attract customers in the market by convenient locations for its hubs and proper pricing of its transportation services, while customer loyalty is different in the nodes. Hence, mixed-integer programming based on a multi-nominal logit model is proposed. Thereafter, to solve the single allocation hub-and-spoke model, it is decomposed into a bi-level model. In the new structure, the master problem is associated with hub location and assignment decisions, and the sub-problem is associated with pricing decisions. Moreover, upper and lower bounds are calculated to determine the price of transportation routes. Finally, based on a nested approach, a scatter search algorithm is used to search the solution space of the master problem, and a matheuristic method is designed to solve the pricing problem interactively. The proposed approach is employed to solve a case study in the postal service industry of Iran.

中文翻译：

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具有客户忠诚度和弹性需求的多模式竞争枢纽位置定价问题

摘要 本文提出了一个多模式竞争性枢纽位置定价问题，其目标是为计划进入具有弹性需求的市场的公司设计运输系统，其中现有运输公司运营其轴辐式网络。 . 进入公司旨在通过其枢纽的便利位置和其运输服务的适当定价来吸引市场上的客户，而客户忠诚度在节点上有所不同。因此，提出了基于多项式 logit 模型的混合整数规划。此后，为了解决单分配中心辐射模型，将其分解为双层模型。在新结构中，主问题与枢纽位置和分配决策相关，子问题与定价决策相关。而且，计算上下限以确定运输路线的价格。最后，基于嵌套方法，使用分散搜索算法搜索主问题的解空间，并设计了数学方法交互式地解决定价问题。所提出的方法用于解决伊朗邮政服务行业的案例研究。