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 language | English (US) |
|---|---|
| Pages (from-to) | 157-162 |
| Number of pages | 6 |
| Journal | Simulation |
| Volume | 79 |
| Issue number | 3 |
| DOIs | |
| State | Published - Mar 2003 |
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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 journal › Article
}
TY - JOUR
T1 - A mesoscopic approach to the simulation of semiconductor supply chains
AU - Marthaler, Dan
AU - Armbruster, Hans
AU - Ringhofer, Christian
PY - 2003/3
Y1 - 2003/3
N2 - 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.
AB - 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.
KW - Factory production
KW - Queuing model
KW - Reentrant model
KW - Simulation
KW - Supply chains
UR - http://www.scopus.com/inward/record.url?scp=0042913183&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0042913183&partnerID=8YFLogxK
U2 - 10.1177/0037549703255638
DO - 10.1177/0037549703255638
M3 - Article
AN - SCOPUS:0042913183
VL - 79
SP - 157
EP - 162
JO - Simulation
JF - Simulation
SN - 0037-5497
IS - 3
ER -