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  • 标题:Railway Track Allocation by Rapid Branching
  • 作者:Ralf Bornd{\"o}rfer ; Thomas Schlechte ; Steffen Weider
  • 期刊名称:OASIcs : OpenAccess Series in Informatics
  • 电子版ISSN:2190-6807
  • 出版年度:2010
  • 卷号:14
  • 页码:13-23
  • DOI:10.4230/OASIcs.ATMOS.2010.13
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:The track allocation problem, also known as train routing problem or train timetabling problem, is to find a conflict-free set of train routes of maximum value in a railway network. Although it can be modeled as a standard path packing problem, instances of sizes relevant for real-world railway applications could not be solved up to now. We propose a rapid branching column generation approach that integrates the solution of the LP relaxation of a path coupling formulation of the problem with a special rounding heuristic. The approach is based on and exploits special properties of the bundle method for the approximate solution of convex piecewise linear functions. Computational results for difficult instances of the benchmark library TTPLIB are reported.
  • 关键词:track allocation problem; integer programming; rapid branching heuristic; proximal bundle method
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