The status of German railway operations management in research and practice

The German railway operations management uses probabilistic and simulation methods in research and practice. The probabilistic methods are based on queuing theory. There are synchronous or asynchronous algorithms for the simulation of time tables, schedule, operation, and disposition. Models were also developed for the simulation of the operation in many parts of the network for the connection between the structure of the track and the capacity of lines and stations, for the evaluation of operating cost depending from the quality of service, and for the design of integrated timetables.