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Networks and Heterogeneous Media (NHM)
 

Self-organized network flows

Pages: 193 - 210, Volume 2, Issue 2, June 2007      doi:10.3934/nhm.2007.2.193

 
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Dirk Helbing - Institute for Transport & Economics, Dresden University of Technology, Andreas-Schubert-Str. 23, 01062 Dresden, Germany (email)
Jan Siegmeier - Institute for Transport & Economics, Dresden University of Technology, Andreas-Schubert-Str. 23, 01062 Dresden, Germany (email)
Stefan Lämmer - Institute for Transport & Economics, Dresden University of Technology, Andreas-Schubert-Str. 34, 01062 Dresden, Germany (email)

Abstract: 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.

Keywords:  Traffic flows, production, emergent oscillations, self-organized traffic lights, synchronization
Mathematics Subject Classification:  Primary: 58F15.

Received: October 2006;      Revised: December 2006;      Available Online: March 2007.