June  2007, 2(2): 193-210. doi: 10.3934/nhm.2007.2.193

Self-organized network flows

1. 

Institute for Transport & Economics, Dresden University of Technology, Andreas-Schubert-Str. 23, 01062 Dresden, Germany, Germany

2. 

Institute for Transport & Economics, Dresden University of Technology, Andreas-Schubert-Str. 34, 01062 Dresden, Germany

Received  October 2006 Revised  December 2006 Published  March 2007

A model for traffic flow in street networks or material flows in supply networks is presented, that takes into account the conservation of cars or materials and other significant features of traffic flows such as jam formation, spillovers, and load-dependent transportation times. Furthermore, conflicts or coordination problems of intersecting or merging flows are considered as well. Making assumptions regarding the permeability of the intersection as a function of the conflicting flows and the queue lengths, we find self-organized oscillations in the flows similar to the operation of traffic lights.
Citation: Dirk Helbing, Jan Siegmeier, Stefan Lämmer. Self-organized network flows. Networks and Heterogeneous Media, 2007, 2 (2) : 193-210. doi: 10.3934/nhm.2007.2.193
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