Routing Trains Through Railway Junctions: A New Set-Packing Approach

Lusby, Richard M. and Larsen, Jesper and Ryan, David and Ehrgott, Matthias (2011) Routing Trains Through Railway Junctions: A New Set-Packing Approach. Transportation Science, 45 (2). pp. 228-245. ISSN 0041-1655

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Abstract

The problem of routing trains through railway junctions is an integral part of railway operations. Large junctions are highly interconnected networks of track where multiple railway lines merge, intersect, and split. The number of possible routings makes this a very complicated problem. We show how the problem can be formulated as a set-packing model with a resource-based constraint system. We prove that this formulation is tighter than the conventional node-packing model, and develop a branch-and-price algorithm that exploits the structure of the set-packing model. A discussion of the variable generation phase, as well as a pricing routine in which these variables are represented by tree structures, is also described. Computational experiments on 25 random timetables show this to be an efficient approach.

Item Type:
Journal Article
Journal or Publication Title:
Transportation Science
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/3300/3313
Subjects:
ID Code:
64472
Deposited By:
Deposited On:
13 May 2013 11:02
Refereed?:
Yes
Published?:
Published
Last Modified:
20 Oct 2020 02:29