Self-organized network flows

Dirk Helbing; Jan Siegmeier; Stefan Lämmer; Dirk Helbing; Jan Siegmeier; Stefan Lämmer

doi:10.3934/nhm.2007.2.193

Networks and Heterogeneous Media

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

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Self-organized network flows

1.
Institute for Transport & Economics, Dresden University of Technology, Andreas-Schubert-Str. 23, 01062 Dresden
2.
Institute for Transport & Economics, Dresden University of Technology, Andreas-Schubert-Str. 34, 01062 Dresden

Received: 01 October 2006 Revised: 01 December 2006
Primary: 58F15.

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.
- Traffic flows,
- production,
- emergent oscillations,
- self-organized traffic lights,
- synchronization
Citation: Dirk Helbing, Jan Siegmeier, Stefan Lämmer. Self-organized network flows[J]. Networks and Heterogeneous Media, 2007, 2(2): 193-210. doi: 10.3934/nhm.2007.2.193

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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.
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