TY - GEN
T1 - Continuous models for production flows
AU - Armbruster, Hans
AU - Ringhofer, Christian
AU - Jo, Tae Chang
PY - 2004/11/29
Y1 - 2004/11/29
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=8744242014&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=8744242014&partnerID=8YFLogxK
U2 - 10.1109/ACC.2004.182675
DO - 10.1109/ACC.2004.182675
M3 - Conference contribution
AN - SCOPUS:8744242014
SN - 0780383354
T3 - Proceedings of the American Control Conference
SP - 4589
EP - 4594
BT - Proceedings of the 2004 American Control Conference (AAC)
T2 - Proceedings of the 2004 American Control Conference (AAC)
Y2 - 30 June 2004 through 2 July 2004
ER -