Optimal Reinsertion of Cancelled Train Line

Julie Jespersen Groth, Jens Clausen, Jesper Larsen

AbstractDSB S-tog (S-tog) is the operator of the suburban rail of
Copenhagen, Denmark. The suburban network covers approximately 170
km of double-track and 80 stations. When larger disturbances occur
in the S-tog network an often used countermeasure is to take out
entire train lines. The problem is to decide when the reinsertion
shall start on each rolling stock depot as we would like to get
back to regular service asap. It is however a complex task to
calculate a reinsertion of train lines. Here we present a mixed
integer programming (MIP) model for finding a reinsertion plan of
a train line minimizing the latest time to finish reinsertion. The
solution should maintain some properties w.r.t. the order in which
the trains are inserted within a depot and between depots. The MIP
model has been implemented in gams and solved with Cplex. The
optimal solution is found within an average of 0.5 CPU seconds in
each test case. Reinsertion schemes in operation is today
calculated by the reinsertion model.
KeywordsOperations Research, Disruption, Recovery, Real-time, Mixed Integer Programming model
TypeTechnical report
Year2006    Month August
Electronic version(s)[pdf]
BibTeX data [bibtex]
IMM Group(s)Operations Research