A mathematical for periodic scheduling problems
SIAM Journal on Discrete Mathematics
Discrete optimization in public rail transport
Mathematical Programming: Series A and B - Special issue: papers from ismp97, the 16th international symposium on mathematical programming, Lausanne EPFL
A Survey of Optimization Models for Train Routing and Scheduling
Transportation Science
A scheduling order-based method to solve timetabling problems
CAEPIA'05 Proceedings of the 11th Spanish association conference on Current Topics in Artificial Intelligence
New heuristics to solve the “CSOP” railway timetabling problem
IEA/AIE'06 Proceedings of the 19th international conference on Advances in Applied Artificial Intelligence: industrial, Engineering and Other Applications of Applied Intelligent Systems
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We present an interactive application to assist planners in adding new trains on a complex railway network. It includes many trains with different characteristics, whose timetables cannot be modified because they are already in circulation. The application builds the timetable for new trains linking the available time slots to trains to be scheduled. A very flexible interface allows the user to specify the parameters of the problem. The resulting problem is formulated as a CSP and efficiently solved. The solving method carries out the search assigning values to variables in a given order verifying the satisfaction of constraints where these are involved. When a constraint is not satisfied, a guided backtracking is done. Finally, the resulting timetable is delivered to the user who can interact with it, guaranteeing the traffic constraint satisfaction.