A hyperbolic relaxation model for product flow in complex production networks | Zendy

Ali K. Unver | Zendy; Christian Ringhofer | Zendy; Dieter Armbruster | Zendy

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A hyperbolic relaxation model for product flow in complex production networks

Author(s) -

Ali K. Unver,

Christian Ringhofer,

Dieter Armbruster

Publication year - 2009

Publication title -

conference publications

Language(s) - English

Resource type - Book series

DOI - 10.3934/proc.2009.2009.790

Subject(s) - conservation law , relaxation (psychology) , flow (mathematics) , limit (mathematics) , production (economics) , product (mathematics) , statistical physics , mathematics , computer science , physics , mathematical analysis , mechanics , geometry , economics , microeconomics , psychology , social psychology

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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