American Institute of Mathematical Sciences

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2009, 2009(Special): 790-799. doi: 10.3934/proc.2009.2009.790

A hyperbolic relaxation model for product flow in complex production networks

Ali Unver 1, , Christian Ringhofer 1, and  Dieter Armbruster 1,

1. 

Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287-1804, United States, United States, United States

Received  July 2008 Revised  June 2009 Published  September 2009

This paper presents a continuum - traffic flow like - model for the flow of products through complex production networks, based on statistical information obtained from extensive observations of the system. The resulting model consists of a system of hyperbolic conservation laws, which, in a relaxation limit, exhibit the correct diffusive properties given by the variance of the observed data.
Keywords: hyperbolic systems, relaxation methods, Supply chains.
Mathematics Subject Classification: Primary: 65N35 ; Secondary: 65N05.
Citation: Ali Unver, Christian Ringhofer, Dieter Armbruster. A hyperbolic relaxation model for product flow in complex production networks. Conference Publications, 2009, 2009 (Special) : 790-799. doi: 10.3934/proc.2009.2009.790
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