A hyperbolic relaxation model for product flow in complex production networks

Ali Unver; Christian Ringhofer; Dieter Armbruster

doi:10.3934/proc.2009.2009.790

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2009, Volume 2009: 790-799. Doi: 10.3934/proc.2009.2009.790 open access

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A hyperbolic relaxation model for product flow in complex production networks

1.
Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287-1804

Received: June 30, 2008

Revised: May 31, 2009

Published: August 2009

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Abstract

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.

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Mathematics Subject Classification: Primary: 65N35 ; Secondary: 65N05.

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A hyperbolic relaxation model for product flow in complex production networks

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