Abstract
Typical semiconductor production is re-entrant and hence requires priority decisions when parts compete for production capacity at the same machine. A standard way to run such a factory is to start to plan and to finish according to demand. Often this results in a push policy where early production steps have priority over later production steps at the beginning of the production line and a pull policy where later steps have priority at the end of the production line. The point where the policies switch is called the push-pull-point (PPP). We develop a control scheme based on moving the PPP in a continuum model of the production flow. We show that this control scheme significantly reduces the mismatch between demand and production output. The success of the control scheme as a function of the frequency of control action is analyzed and optimal times between control actions are determined.
Original language | English (US) |
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Pages (from-to) | 4655-4664 |
Number of pages | 10 |
Journal | Applied Mathematical Modelling |
Volume | 39 |
Issue number | 16 |
DOIs | |
State | Published - Aug 15 2015 |
Keywords
- Dispatch policy control
- Feedback control
- Partial differential equations
- Re-entrant production
ASJC Scopus subject areas
- Modeling and Simulation
- Applied Mathematics