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Solving Railway Track Allocation Problems

Please always quote using this URN: urn:nbn:de:0297-zib-9631
  • The \emph{optimal track allocation problem} (\textsc{OPTRA}), also known as the train routing problem or the train timetabling problem, is to find, in a given railway network, a conflict-free set of train routes of maximum value. We propose a novel integer programming formulation for this problem that is based on additional configuration' variables. Its LP-relaxation can be solved in polynomial time. These results are the theoretical basis for a column generation algorithm to solve large-scale track allocation problems. Computational results for the Hanover-Kassel-Fulda area of the German long distance railway network involving up to 570 trains are reported.

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Author:Ralf BorndörferORCiD, Thomas Schlechte
Document Type:ZIB-Report
Tag:column generation; railway track allocation; timetabling
MSC-Classification:90-XX OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING / 90Bxx Operations research and management science / 90B06 Transportation, logistics
90-XX OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING / 90Cxx Mathematical programming [See also 49Mxx, 65Kxx] / 90C27 Combinatorial optimization
Date of first Publication:2007/08/02
Series (Serial Number):ZIB-Report (07-20)
Published in:Appeared in: Operations Research Proceedings 2007. J. Kalcsics, S. Nickel (eds.)Springer 2008, pp. 117-122
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