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Preprint-No.: <   408   >   Published in: October 2014   PDF-File: IGPM408.pdf
Title:Data-Fitted Second-Order Macroscopic Production Models
Authors:Louis Forestier-Coste, Simone Göttlich, Michael Herty
Abstract:
Starting from discrete event simulations based on sampled data we sim- ulate the interplay between product density and flux. Data-fitting helps to determine the right parameters for clearing functions to close first and second order conservation laws. For the first order case well-known relations from M/M/1-queuing theory can be reproduced and numerically extended to transient behavior. To include more informa- tion from the data into the model, a second equation is introduced leading to a second order production model which is close to the Aw-Rascle-Zhang model known from traffic flow. Numerical comparisons show similarities and, in particular, differences of the modeling approaches.
Keywords:production systems, system of conservation laws, data fitting
DOI: 10.1137/140989832
Publication:SIAM J. Applied Mathematics
2015, 75(3), 999–1014
Corresponding author: Simone Göttlich