A fast heuristic for the train scheduling problem
Computers and Operations Research
Heuristic Techniques for Single Line Train Scheduling
Journal of Heuristics
A Survey of Optimization Models for Train Routing and Scheduling
Transportation Science
Modeling train movements through complex rail networks
ACM Transactions on Modeling and Computer Simulation (TOMACS)
Reordering and Local Rerouting Strategies to Manage Train Traffic in Real Time
Transportation Science
Disruption management in the airline industry-Concepts, models and methods
Computers and Operations Research
Railway track allocation: models and methods
OR Spectrum
Dispatching and coordination in multi-area railway traffic management
Computers and Operations Research
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Efficiently coordinating the often large number of interdependent, timetabled train movements on a railway junction, while satisfying a number of operational requirements, is one of the most important problems faced by a railway company. The most critical variant of the problem arises on a daily basis at major railway junctions where disruptions to rail traffic make the planned schedule/routing infeasible and rolling stock planners are forced to re-schedule/re-route trains in order to recover feasibility. The dynamic nature of the problem means that good solutions must be obtained quickly. In this paper we describe a set packing inspired formulation of this problem and develop a branch-and-price based solution approach. A real life test instance arising in Germany and supplied by the major German railway company, Deutsche Bahn, indicates the efficiency of the proposed approach by confirming that practical problems can be solved to within a few percent of optimality in reasonable time.