A mesoscopic approach to the simulation of semiconductor supply chains

Dan Marthaler, Hans Armbruster, Christian Ringhofer

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


Production flows through factories are modeled through conservation laws leading to nonlinear hyperbolic partial differential equations (PDEs). For a linear production line, models based on conservation laws can be derived from first principles, using methods from gas dynamics. For reentrant manufacturing, a heuristic model is presented merging a nonlocal state equation relating throughput time to work in progress through Little's law to produce a nonlinear, nonlocal hyperbolic PDE. These two models can serve as the building blocks of fast simulations of the dynamics of capacity-limited supply chains. The authors present simulations for a chain consisting of a reentrant module, followed and preceded by a linear module. The response of the system to various production scenarios is discussed.

Original languageEnglish (US)
Pages (from-to)157-162
Number of pages6
Issue number3
StatePublished - Mar 1 2003


  • Factory production
  • Queuing model
  • Reentrant model
  • Simulation
  • Supply chains

ASJC Scopus subject areas

  • Software
  • Modeling and Simulation
  • Computer Graphics and Computer-Aided Design


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