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Global solutions to the relativistic Vlasov-Poisson-Fokker-Planck system
Parameter extraction of complex production systems via a kinetic approach
1. | Intel Corporation, Assembly & Test Technology Development, 5000 W. Chandler Blvd, Chandler, AZ 85226, United States |
2. | Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287-1804 |
3. | Ondokuz Mayis University, Department of Mathematics, Samsun, 55139, Turkey |
References:
[1] |
D. Armbruster, D. Marthaler and C. Ringhofer, A mesoscopic approach to the simulation of semiconductor supply chains, Proceedings of the International Conference on Modeling and Analysis of Semiconductor Manufacturing (MASM2002) (eds. G. Mackulak et al.), 365-369. |
[2] |
D. Armbruster, D. Marthaler and C. Ringhofer, Kinetic and fluid model hierarchies for supply chains, SIAM J. on Multiscale Modeling, 2 (2003), 43-61.
doi: 10.1137/S1540345902419616. |
[3] |
D. Armbruster and C. Ringhofer, Thermalized kinetic and fluid models for re-entrant supply chains, SIAM J. Multiscale Modeling and Simulation, 3 (2005), 782-800.
doi: 10.1137/030601636. |
[4] |
D. Armbruster, C. Ringhofer and T. Jo, Continuous models for production flows, in Proceedings of the 2004 American Control Conference, Boston, 4589-4594. |
[5] |
J. Banks, J. Carson and B. Nelson, Discrete Event System Simulation, Prentice Hall, 1999. |
[6] | |
[7] |
C. Cercignani, Boltzmann Equation and its Applications, Applied Mathematical Sciences, 67, 1988.
doi: 10.1007/978-1-4612-1039-9. |
[8] |
G. Fishman, Discrete-Event Simulation, Springer-Verlag, New York, 2001.
doi: 10.1007/978-1-4757-3552-9. |
[9] |
D. Helbing, Traffic and related self-driven many-particle systems, Reviews of Modern Physics, 73 (2001), 1067-1141.
doi: 10.1103/RevModPhys.73.1067. |
[10] |
J. Nocedal and S. Wright, Numerical Optimization, 2nd edition, Springer-Verlag, New York, 2006. |
[11] |
A. Unver and C. Ringhofer, Estimation of transport coefficients in re-entrant factory models, 15th IFAC Symposium on System Identification, SYSID France, (2009), 705-710. |
[12] |
A. Unver, C. Ringhofer and D. Armbruster, A hyperbolic relaxation model for product flow in complex production networks, AIMS Procceedings, (2009), 790-799. |
[13] |
A. Unver, Observation Based PDE Models for Stochastic Production Systems, Thesis (Ph.D.), Arizona State University, 2008. |
show all references
References:
[1] |
D. Armbruster, D. Marthaler and C. Ringhofer, A mesoscopic approach to the simulation of semiconductor supply chains, Proceedings of the International Conference on Modeling and Analysis of Semiconductor Manufacturing (MASM2002) (eds. G. Mackulak et al.), 365-369. |
[2] |
D. Armbruster, D. Marthaler and C. Ringhofer, Kinetic and fluid model hierarchies for supply chains, SIAM J. on Multiscale Modeling, 2 (2003), 43-61.
doi: 10.1137/S1540345902419616. |
[3] |
D. Armbruster and C. Ringhofer, Thermalized kinetic and fluid models for re-entrant supply chains, SIAM J. Multiscale Modeling and Simulation, 3 (2005), 782-800.
doi: 10.1137/030601636. |
[4] |
D. Armbruster, C. Ringhofer and T. Jo, Continuous models for production flows, in Proceedings of the 2004 American Control Conference, Boston, 4589-4594. |
[5] |
J. Banks, J. Carson and B. Nelson, Discrete Event System Simulation, Prentice Hall, 1999. |
[6] | |
[7] |
C. Cercignani, Boltzmann Equation and its Applications, Applied Mathematical Sciences, 67, 1988.
doi: 10.1007/978-1-4612-1039-9. |
[8] |
G. Fishman, Discrete-Event Simulation, Springer-Verlag, New York, 2001.
doi: 10.1007/978-1-4757-3552-9. |
[9] |
D. Helbing, Traffic and related self-driven many-particle systems, Reviews of Modern Physics, 73 (2001), 1067-1141.
doi: 10.1103/RevModPhys.73.1067. |
[10] |
J. Nocedal and S. Wright, Numerical Optimization, 2nd edition, Springer-Verlag, New York, 2006. |
[11] |
A. Unver and C. Ringhofer, Estimation of transport coefficients in re-entrant factory models, 15th IFAC Symposium on System Identification, SYSID France, (2009), 705-710. |
[12] |
A. Unver, C. Ringhofer and D. Armbruster, A hyperbolic relaxation model for product flow in complex production networks, AIMS Procceedings, (2009), 790-799. |
[13] |
A. Unver, Observation Based PDE Models for Stochastic Production Systems, Thesis (Ph.D.), Arizona State University, 2008. |
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