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