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A Benders Decomposition for Hub Location Problems Arising in Public Transport

Shahin Gelareh () and Stefan Nickel ()
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Shahin Gelareh: Fraunhofer Institut für Techno-und Wirtscaftsmathematik (ITWM)
Stefan Nickel: Universität des Saarlandes

A chapter in Operations Research Proceedings 2007, 2008, pp 129-134 from Springer

Abstract: Abstract 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.

Keywords: Public Transport; Optimal Path; Mixed Integer Programming; Master Problem; Setup Cost (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/978-3-540-77903-2_20

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