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Physica A 363 (2006) 113 Multiscale analysis of re-entrant production lines

Summary: Physica A 363 (2006) 113
Multiscale analysis of re-entrant production lines:
An equation-free approach
Y. Zoua
, I.G. Kevrekidisa
, D. Armbrusterb,c
Department of Chemical Engineering and PACM, Princeton University, Princeton, NJ 08544, USA
Department of Mathematics, Arizona State University, Tempe, AZ 85287-1804,USA
Department of Mechanical Engineering, Eindhoven University of Technology, P.O.B 513, 5600MB Eindhoven, The Netherlands
Available online 13 February 2006
The computer-assisted modeling of re-entrant production lines, and, in particular, simulation scalability, is attracting a
lot of attention due to the importance of such lines in semiconductor manufacturing. Re-entrant flows lead to competition
for processing capacity among the items produced, which significantly impacts their throughput time (TPT). Such
production models naturally exhibit two time scales: a short one, characteristic of single items processed through
individual machines, and a longer one, characteristic of the response time of the entire factory. Coarse-grained partial
differential equations for the spatio-temporal evolution of a ``phase density'' were obtained through a kinetic theory


Source: Armbruster, Dieter - Department of Mathematics and Statistics, Arizona State University


Collections: Mathematics