408 | RWTH Publication No: 443032 2014   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 simulate 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 information 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 |