Macroscopic Simulation of Open Systems and Micro-Macro Link

A. Hennecke, M. Treiber and D. Helbing
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A. Hennecke: University of Stuttgart, II. Institute of Theoretical Physics
M. Treiber: University of Stuttgart, II. Institute of Theoretical Physics
D. Helbing: University of Stuttgart, II. Institute of Theoretical Physics

A chapter in Traffic and Granular Flow ’99, 2000, pp 383-388 from Springer

Abstract: Abstract We discuss the numerical treatment of boundary conditions for a non-local macroscopic model of uni-directional traffic. Furthermore, we propose a general scheme to derive non-local macroscopic models from given microscopic car-following models. Assuming identical (macroscopic) initial and boundary conditions, we show that there are microscopic models for which the corresponding macroscopic version displays a very similar dynamics. This enables us to combine micro- and macrosimulations of road sections by simple algorithms and even to simulate them simultaneously.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59751-0_38

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DOI: 10.1007/978-3-642-59751-0_38

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