The scheduled waiting time on railway lines

The paper presents an approach predicting the scheduled waiting time by means of a semi-Markovian queueing model. For that, the process of timetable compilation in a railway network with open access is shortly explained and described by means of queueing theory. The arrival process is determined by the requested train-paths. The description of the service process is based on an application of the theory of blocking times and minimum headway times. The approach is useful for predicting a quality measure for bottlenecks with mainly non-cyclic timetable structures.