|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|
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|
|Publication:||SIAM J. Applied Mathematics |
2015, 75(3), 999–1014
|Corresponding author:||Simone Göttlich|