A hyperbolic relaxation model for product flow in complex production networks
Ali Unver - 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
Received: July 2008; Revised: June 2009; Published: September 2009.