A mesoscopic approach to the simulation of semiconductor supply chains

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

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
JournalSimulation
Volume79
Issue number3
DOIs
StatePublished - Mar 2003

Fingerprint

Hyperbolic Partial Differential Equations
Supply Chain
Conservation Laws
Supply chains
Semiconductors
Semiconductor materials
Module
Partial differential equations
Nonlocal Equations
Production Line
Conservation
Gas Dynamics
State Equation
First-principles
Nonlinear Partial Differential Equations
Merging
Building Blocks
Simulation
Throughput
Gas dynamics

Keywords

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

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Theory and Mathematics
  • Computer Graphics and Computer-Aided Design
  • Software
  • Safety, Risk, Reliability and Quality

Cite this

A mesoscopic approach to the simulation of semiconductor supply chains. / Marthaler, Dan; Armbruster, Hans; Ringhofer, Christian.

In: Simulation, Vol. 79, No. 3, 03.2003, p. 157-162.

Research output: Contribution to journalArticle

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