Regensburg 2010 – wissenschaftliches Programm
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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 3: Traffic Dynamics, Urban and Regional Systems II
SOE 3.5: Vortrag
Montag, 22. März 2010, 11:30–11:45, H44
Network harness: bundles of routes in public transport networks — Bertrand Berche1, Christian von Ferber2,3, and •Taras Holovatch1,2 — 1Laboratoire de Physique des Matériaux, Université Nancy 1, FR — 2Applied Mathematics Research Centre, Coventry University, UK — 3Physikalisches Institut, Universität Freiburg
Public transport routes sharing the same grid of streets and tracks are often found to partly proceed in parallel. Similar phenomena are observed in other networks built with space consuming links such as cables, pipes, neurons, etc. To quantify this behavior we use the notion of network harness described by the harness distribution P(r,s): the number of sequences of s consecutive stations that are serviced by r parallel routes. For certain PTNs that we have analysed we observe that the harness distribution may be described by power laws. These power laws observed indicate a certain level of organization and planning which may be driven by the need to minimize the costs of infrastructure. This effect may be seen as a result of the strong interdependence of the evolutions of both the city and its PTN. To further investigate the significance of the empirical results we have studied one- and two-dimensional models of randomly placed routes modeled by different types of walks. While in one dimension an analytic treatment was successful, the two dimensional case was studied by extensive simulations showing that the empirical results for real PTNs deviate significantly from those of randomly placed routes but can be described by a model of interacting self-avoiding walks.