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A Benders Decomposition for Hub Location Problems Arising in Public Transport

机译:公共交通工具中出现的集线器位置问题的弯曲者分解

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In the last two decades, among the large amount of literature available on Hub Location Problems (HLP), applications in Public Transport (PT) have received less attentions compared to other fields, for example telecommunications. The first mathematical model for HLPs is proposed by O’Kelly [5] in 1987. In a HLP network, the flow originated from an origin i and destinated to node j is not shipped directly, rather, it is sent via some selected intermediate nodes (called hub nodes) and maybe intermediate edges (called hub edges) connecting these hubs. The sub-network composed of these hub facilities is known as hub-level network. The remaining nodes and edges are called spoke nodes or spoke edges of the spoke-level network. For applications in public transport planning, the hub level network consists of special types of transportation facilities which may be fast-lines, etc. Fig. 1 depicts a simple hub location model applied to public transport planning.
机译:在过去的二十年中,在集线器位置问题(HLP)上可用的大量文献中,与其他领域相比,公共交通(PT)的应用程序较少,例如电信。在1987年,o'kelly [5]提出了HLP的第一个数学模型。在HLP网络中,源自原始I和目的地j的流程不直接发货,而是通过一些选定的中间节点发送。 (称为集线器节点),也许是连接这些集线器的中间边缘(称为集线器边缘)。由这些集线器设施组成的子网络被称为集线器级网络。剩余的节点和边缘称为辐条节点或辐射级网络的辐条边缘。对于公共交通计划中的应用,集线器级网络包括特殊类型的运输设施,可以是快速线等。图1描绘了应用于公共交通规划的简单集线器位置模型。

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