Continuous models for production flows

Hans Armbruster, Christian Ringhofer, Tae Chang Jo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

17 Scopus citations


We model high volume, multi-stage continuous production flow through a re-entrant factory. We approximate production volume through a continuous density variable and production stages through a continuous completion variable. Ideas from traffic modeling and gas dynamics are adapted to generate a hierarchy of PDE models. All of these models are variations of nonlinear nonlocal hyperbolic conservation laws. They allow extremely fast and accurate simulations. Large scale discrete event simulation based on an INTEL factory are presented. The data are analyzed to generate a parameterization for the PDE model of this factory. A diffusion coefficient is determined by looking at the spread of throughput times in a factory run at steady state.

Original languageEnglish (US)
Title of host publicationProceedings of the 2004 American Control Conference (AAC)
Number of pages6
StatePublished - Nov 29 2004
EventProceedings of the 2004 American Control Conference (AAC) - Boston, MA, United States
Duration: Jun 30 2004Jul 2 2004

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619


OtherProceedings of the 2004 American Control Conference (AAC)
Country/TerritoryUnited States
CityBoston, MA

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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