Performance Evaluation Of Network Timetables Using PETER
Free (open access)
R M P Goverde & M A Odijk
Efficient evaluation and comparison criteria of network timetables are not yet well-defined and planners usually have to rely on time-consuming simulations of (sub) networks. PETER (Performance Evaluation of Timed Events in Railways) is a new analytical tool that quickly assesses network performance indicators in a deterministic setting corresponding to the design times used in timetable construction. A timetable represents the steady-state according to which trains should operate. Timetable performance is then analysed as the effort of returning to the steady-state after disruptions. Systems of interconnected train services have a special structure that can be described by (max, +) recursions, resulting in a linear system in max-plus algebra. Efficient algorithms have been developed to analyse such systems in real-time. Performance indicators include cycle times, throughput, and stability margins, which are related to critical circuits in the train network. Timetable robustness is analysed by cumulative recovery times and delay propagation.