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LUKS-A - Analytic assessment

Analytic approach is based on decomposition of the infrastructure

  • 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.

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.