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A hyperbolic relaxation model for product flow in complex production networks

Pages: 790 - 799, Issue Special, September 2009

 Abstract        Full Text (226.4K)              

Ali Unver - Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287-1804, United States (email)
Christian Ringhofer - Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287-1804, United States (email)
Dieter Armbruster - Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287-1804, United States (email)

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.

Keywords:  Supply chains, hyperbolic systems, relaxation methods
Mathematics Subject Classification:  Primary: 65N35 ; Secondary: 65N05

Received: July 2008;      Revised: June 2009;      Published: September 2009.