A Branch-and-Cut Approach for Solving Railway Line-Planning Problems

  • Authors:
  • Jan-Willem Goossens;Stan van Hoesel;Leo Kroon

  • Affiliations:
  • -;-;-

  • Venue:
  • Transportation Science
  • Year:
  • 2004

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Abstract

An important strategic phase in the planning process of a railway operator is the development of a line plan, i.e., a set of routes (paths) in a network of tracks, operated at a given hourly frequency. We consider a model formulation of the line-planning problem where total operating costs are to be minimized. This model is solved with a branch-and-cut approach, for which we develop a variety of valid inequalities and reduction methods. A computational study of five real-life instances based on examples from Netherlands Railways (NS) is included.