Averaged kinetic models for flows on unstructured networks

Pages: 1081 - 1096, Volume 4, Issue 4, December 2011

doi:10.3934/krm.2011.4.1081       Abstract        References        Full Text (384.4K)       Related Articles

Michael Herty - RWTH Aachen, Department of Mathematics, Templergraben 55, 52056 Aachen, Germany (email)
Christian Ringhofer - Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287-1804, United States (email)

Abstract: We derive a kinetic equation for flows on general, unstructured networks with applications to production, social and transportation networks. This model allows for a homogenization procedure, yielding a macroscopic transport model for large networks on large time scales.

Keywords:  Network dynamics, kinetic theory, asymptotic analysis.
Mathematics Subject Classification:  Primary: 58F15, 58F17; Secondary: 53C35.

Received: July 2011;      Revised: September 2011;      Published: November 2011.

 References