A Column-Generation Approach to Line Planning in Public Transport
Transportation Science
Robust line planning in case of multiple pools and disruptions
TAPAS'11 Proceedings of the First international ICST conference on Theory and practice of algorithms in (computer) systems
Operations Research Letters
GRASP algorithms for the robust railway network design problem
Journal of Heuristics
Service-Oriented Line Planning and Timetabling for Passenger Trains
Transportation Science
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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.