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Manufacturing supply chain applications 3: efficient simulations of supply chains

Published: 08 December 2002 Publication History

Abstract

High volume production flows are modeled by nonlinear hyperbolic partial differential equations representing conservation laws. These models have Little's law explicitly built into the formulation. Borrowing from concepts in gas dynamics and vehicular traffic models we derive several prototypical equations representing linear as well as reentrant factories. Multiple products, dispatch polices and control actions can be modeled. Standard hydrodynamic codes provide very fast simulations of these models allowing us to link them together to form efficient supply chain simulations.

References

[1]
LeVeque, R. J. 1992, Numerical Methods for Conservation laws, Birkhäuser-Verlag.
[2]
Little, J.D.C. 1961, A proof for the queuing formula L = λW, Operations Research 9: 383--387.
[3]
Marthaler, D. 2002. Two problems from nonlinear dynamical systems. Doctoral Dissertation, Department of Mathematics, Arizona State University.
[4]
Marthaler, D., D. Armbruster, and C. Ringhofer 2002, A mesoscopic approach to the simulation of semiconductor supply chains, in Proceedings of the International Conference on Modeling and Analysis of Semiconductor Manufacturing (MASM2002), eds. G. T. Mackulak, J. W. Fowler and A. Schömig, 365--369.
[5]
Ringhofer, C. and D. Armbruster. 2002. A kinetic model for linear supply chains, in preparation, Arizona State University.

Cited By

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  • (2004)Ideas for modeling and simulation of supply chains with ArenaProceedings of the 36th conference on Winter simulation10.5555/1161734.1161997(1418-1427)Online publication date: 5-Dec-2004

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Information & Contributors

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Published In

cover image ACM Conferences
WSC '02: Proceedings of the 34th conference on Winter simulation: exploring new frontiers
December 2002
2143 pages
ISBN:0780376153
  • General Chair:
  • Jane L. Snowdon,
  • Program Chair:
  • John M. Charnes

Sponsors

  • INFORMS/CS: Institute for Operations Research and the Management Sciences/College on Simulation
  • IIE: Institute of Industrial Engineers
  • ASA: American Statistical Association
  • ACM: Association for Computing Machinery
  • SIGSIM: ACM Special Interest Group on Simulation and Modeling
  • IEEE/CS: Institute of Electrical and Electronics Engineers/Computer Society
  • NIST: National Institute of Standards and Technology
  • (SCS): The Society for Modeling and Simulation International
  • IEEE/SMCS: Institute of Electrical and Electronics Engineers/Systems, Man, and Cybernetics Society

Publisher

Winter Simulation Conference

Publication History

Published: 08 December 2002

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WSC02
Sponsor:
  • INFORMS/CS
  • IIE
  • ASA
  • ACM
  • SIGSIM
  • IEEE/CS
  • NIST
  • (SCS)
  • IEEE/SMCS
WSC02: Winter Simulation Conference 2002
December 8 - 11, 2002
California, San Diego

Acceptance Rates

WSC '02 Paper Acceptance Rate 166 of 185 submissions, 90%;
Overall Acceptance Rate 3,413 of 5,075 submissions, 67%

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Cited By

View all
  • (2004)Ideas for modeling and simulation of supply chains with ArenaProceedings of the 36th conference on Winter simulation10.5555/1161734.1161997(1418-1427)Online publication date: 5-Dec-2004

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