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) |
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Pages (from-to) | 157-162 |
Number of pages | 6 |
Journal | SIMULATION |
Volume | 79 |
Issue number | 3 |
DOIs | |
State | Published - Mar 1 2003 |
Keywords
- Factory production
- Queuing model
- Reentrant model
- Simulation
- Supply chains
ASJC Scopus subject areas
- Software
- Modeling and Simulation
- Computer Graphics and Computer-Aided Design