Capacity analysis of railway lines in Germany – A rigorous discussion of the queueing based approach

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Abstract: The operation of railway systems requires detailed information on infrastructure capacity. A major challenge, especially in long-term planning, is assessing the quality of operations given very limited information on schedules is available. To this end, analytical models based on a stochastic description of railway systems have found widespread application. We discuss a model for the capacity analysis of railway lines relying on single channel queueing systems. By identifying knock-on delays with waiting times delays can be estimated using methods from stochastics and queueing theory. Mean knock-on delays are used as a quality-dependent indicator of capacity allowing to determine the admissible number of trains for a prescribed level of service.