Modeling of Material Flow Problems
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In this article we discuss the description of modern manufacturing or production problems using continuous models. Instead of a detailed description of the production process, a mathematical formulation is used based on transport equations. The challenge is to derive novel and nonstandard approaches that allow to incorporate detailed nonlinear dynamic behavior, which is currently not possible with the widely applied linear or mixed integer linear approaches. Starting from discrete event simulations as a basic description we explore the relation between the product density and the flow of parts (also known as clearing function). Data-fitting procedures help to identify the underlying parameters. We show the relationships between discrete event simulations, queuing models and transport model-based methods, and present several applications.
This work has been supported by the Cluster of Excellence ‘Integrative Production Technology for High-Wage Countries’, the DFG grant GO 1920/3-1, the BMBF Project KinOpt and DAAD VRC.
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