Multiscale analysis of re-entrant production lines: An equation-free approach

Physica A: Statistical Mechanics and its Applications

Volumn 363, Issue 1, 2006, Pages 1-13

  Zou, Y ^a   Kevrekidis, I G ^a   Armbruster, D ^b,c  

^a Princeton University   (United States)

^b ARIZONA STATE UNIVERSITY   (United States)

^c EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Coarse projective integration; Equation free; Production line; Re entrant

Indexed keywords

COMPETITION; COMPUTER AIDED MANUFACTURING; COMPUTER SIMULATION;

EQUATION-FREE; PRODUCTION LINE; RE-ENTRANT;

SEMICONDUCTOR DEVICE MANUFACTURE;

EID: 33645133369     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2006.01.043     Document Type: Article

References (17)

1. D. Armbruster, and C. Ringhofer Thermalized kinetic and fluid models for re-entrant supply chains SIAM J. Multiscale Modeling Simul. 3 4 2005 782 800
2. D. Armbruster, D. Marthaler, C. Ringhofer, K. Kempf, T. Jo, A continuum model for a re-entrant factory, Oper. Res., in press.
3. K. Theodoropoulos, Y.-H. Qian, and I. Kevrekidis 'Coarse' stability and bifurcation analysis using time-steppers: a reaction diffusion example Proc. Natl. Acad. Sci. 97 18 2000 9840 9843
4. I. Kevrekidis, C. Gear, J. Hyman, P. Kevrekidis, O. Runborg, and K. Theodoropoulos Equation-free coarse-grained multiscale computation: enabling microscopic simulators to perform system-level tasks Comm. Math. Sci. 1 4 2003 715 762
5. I. Kevrekidis, C. Gear, and G. Hummer Equation-free: the computer-assisted analysis of complex, multiscale systems AIChE. J. 50 7 2004 1346 1354
6. W.E.B. Engquist The heterogeneous multiscale method Comm. Math. Sci. 1 2003 87 133
7. C. Gear, Projective integration methods for distributions, NEC Trans. 130 (2001).
8. C. Gear, and I. Kevrekidis Projective methods for stiff differential equations: Problems with gaps in their eigenvalue spectrum SIAM J. Sci. Comput. 24 4 2002 1091 1106
9. R. Rico-Martinez, C. Gear, and I. Kevrekidis Coarse projective KMC integration: forward/reverse initial and boundary value problems J. Comput. Phys. 1962 2 2004 474 489
10. C. Gear, I. Kevrekidis, and C. Theodoropoulos 'Coarse' integration/bifurcation analysis via microscopic simulators: Micro-Galerkin methods Comput. Chem. Eng. 26 2002 941 963
11. A. Makeev, D. Maroudas, and I. Kevrekidis 'Coarse' stability and bifurcation analysis using stochastic simulators: kinetic Monte Carlo examples J. Chem. Phys. 116 2002 10083 10091
12. A. Makeev, D. Maroudas, A. Panagiotopoulos, and I. Kevrekidis 'Coarse' bifurcation analysis of kinetic Monte Carlo simulations: a lattice-gas model with lateral interactions J. Chem. Phy. 117 18 2002 8229 8240
13. L. Chen, P. Debenedetti, C. Gear, and I. Kevrekidis From molecular dynamics to coarse self-similar solutions: a simple example using equation-free computation JNNFM 120 2004 215
14. Y. Zou, I. Kevrekidis, and R. Ghanem Equation-free dynamic renormalization: self-similarity in multidimensional particle system dynamics Phys. Rev. E 72 4 2005 Art. No. 046702
15. W. Press, S. Teukolsky, W. Vetterling, and B. Flannery Numerical Recipes in C second ed. 1992 Cambridge University Press Cambridge
16. C. Gear, and I. Kevrekidis Telescopic projective integrators for stiff differential equations J. Comput. Phys. 187 1 2003 95 109
17. C. Kelley Iterative Methods for Linear and Nonlinear Equations 1995 SIAM Philadelphia