Estimation of transport coefficients in re-entrant factory models

Ali K. Unver, Christian Ringhofer

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

2 Scopus citations

Abstract

We develop continuum models of re-entrant factory production systems that treat the flow of products in analogy to traffic flow. Specifically, we model the dynamics of material flow through a re-entrant factory via a parabolic conservation law describing the product density and flux in the factory. We first extract the transport coefficients, in particular, velocity and diffusion coefficients of the particles in the production system using discrete event simulation (DES). Since PDE-conservation laws are successfully used for modeling the dynamical behavior of product flow in manufacturing systems, we model the manufacturing system using a diffusive partial differential equation (PDE). The specifics of the production process enter into the velocity and diffusion coefficient of the conservation law. The resulting nonlinear parabolic conservation law model allows fast and accurate simulations.

Original languageEnglish (US)
Title of host publication15th Symposium on System Identification, SYSID 2009 - Preprints
Pages705-710
Number of pages6
EditionPART 1
DOIs
StatePublished - Dec 1 2009
Event15th IFAC Symposium on System Identification, SYSID 2009 - Saint-Malo, France
Duration: Jul 6 2009Jul 8 2009

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
NumberPART 1
Volume15
ISSN (Print)1474-6670

Other

Other15th IFAC Symposium on System Identification, SYSID 2009
CountryFrance
CitySaint-Malo
Period7/6/097/8/09

Keywords

  • Conservation law
  • Re-entrant factory
  • Supply chains

ASJC Scopus subject areas

  • Control and Systems Engineering

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    Unver, A. K., & Ringhofer, C. (2009). Estimation of transport coefficients in re-entrant factory models. In 15th Symposium on System Identification, SYSID 2009 - Preprints (PART 1 ed., pp. 705-710). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 15, No. PART 1). https://doi.org/10.3182/20090706-3-FR-2004.0287