Analytic approach is based on decomposition of the infrastructure

- Analytic approach is based on decomposition of the infrastructure
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- The network is automatically disjoint in single- or multi-channel servers.
- For each server the arrival process is derived from aggregated train types.
Analytic approach is based on queueing theory
Differentiation between theoretical and practical capacity
- Theoretical capacity Number of trains (nmax) with infinite waiting area
- Practical capacity Number of trains (nopt), which leads to market-conform waiting times ETW,LOS
Evaluation of process states
- Timetabling
Independent path requests of TOCs result in scheduled waiting times. - Operation
Conflict-free timetable is disturbed, thus unscheduled waiting times arise.

- Analytic approach is based on queueing theory
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The basic for the analytic approach is the minimum headway time calculation
- Junction
Minimum headway time of the adjacent overtaking section - Line
Maximum of all minimum headway times of all overtaking sections along the investigated section
Capacity of junctions
- Decomposition of infrastructure into servers (serial route nodes, SRN)
- Calculation of minimum headway times for each SRN
- Each SRN can be evaluated with focus on the quality of operation.
- Station track-groups can be modelled as multi-channel servers.

- Capacity of junctions
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- Graphical illustration of analytic results
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- A set of single-channel systems forms a station’s head
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- Expansion of operating programme at station’s head
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- Definition of infrastructure to be considered as a line
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- Operating programme of line capacity analysis
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- Graphical results of line capacity analysis
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