Abstract
The production planning problem, that is, to determine the production rate of a factory in the future, requires an aggregate model for the production flow through a factory. The canonical model is the clearing function model based on the assumption that the local production rate instantaneously adjusts to the one given by the equilibrium relationship between production rate (flux) and work in progress (wip), for example, characterized by queueing theory. We will extend current theory and modeling for transient clearing functions by introducing a continuum description of the flow of product through the factory based on a partial differential equation model for the time evolution of the wip-density and the production velocity. It is shown that such a model improves the mismatch between models for transient production flows and discrete event simulations significantly compared to other clearing function approaches.
Original language | English (US) |
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Pages (from-to) | 133-139 |
Number of pages | 7 |
Journal | Logistics Research |
Volume | 5 |
Issue number | 3-4 |
DOIs | |
State | Published - Nov 2012 |
Keywords
- Continuum models
- Production planning
- Transient clearing functions
ASJC Scopus subject areas
- Control and Systems Engineering
- Management Information Systems
- Information Systems
- Computer Science Applications
- Management Science and Operations Research