Regensburg 2010 – wissenschaftliches Programm
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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 3: Traffic Dynamics, Urban and Regional Systems II
SOE 3.3: Vortrag
Montag, 22. März 2010, 10:45–11:00, H44
Phase Synchronization in Train Connection Timetables — •Christoph Fretter1, Matthias Müller-Hannemann1, Lachezar Krumov2, Karsten Weihe2, and Marc-Thorsten Hütt3 — 1Martin Luther Universität Halle-Wittenberg — 2TU Darmstadt — 3Jacobs University Bremen
Train connection timetables are an important research topic in algorithmics. Finding optimal or near-optimal timetables under the subsidiary conditions of minimizing travel times and other criteria is an important contribution to the functioning of public transportation. In addition to efficiency (given, e.g. by minimal average travel times), the robustness of the timetable, i.e. a minimization of delay propagation, is an important criterion. Here we study the balance of efficiency and robustness in train connection timetables from the perspective of synchronization, exploiting the fact that a major part of the trains run nearly periodically. We find that synchronization is highest at intermediate-sized stations. We argue that this synchronization perspectives opens a new avenue towards an understanding of train connection timetables by representing them as spatiotemporal phase patterns. Robustness and efficiency can then be viewed as properties of this phase pattern.