COMPARATIVE MODEL ACCURACY OF A DATA-FITTED GENERALIZED AW-RASCLE-ZHANG MODEL

被引:75
|
作者
Fan, Shimao [1 ]
Herty, Michael [2 ]
Seibold, Benjamin [3 ]
机构
[1] Univ Illinois, Dept Civil & Environm Engn, Urbana, IL 61801 USA
[2] Rhein Westfal TH Aachen, Dept Math, D-52056 Aachen, Germany
[3] Temple Univ, Dept Math, Philadelphia, PA 19122 USA
基金
美国国家科学基金会;
关键词
Traffic model; Lighthill-Whitham-Richards; Aw-Rascle-Zhang; generalized; second order; fundamental diagram; trajectory; sensor; data; validation; CELLULAR-AUTOMATON MODEL; HYPERBOLIC CONSERVATION-LAWS; TRAFFIC FLOW; KINEMATIC WAVES; CONGESTION; DERIVATION; SCHEMES;
D O I
10.3934/nhm.2014.9.239
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The Aw-Rascle-Zhang (ARZ) model can be interpreted as a generalization of the Lighthill-Whitham-Richards (LWR) model, possessing a family of fundamental diagram curves, each of which represents a class of drivers with a different empty road velocity. A weakness of this approach is that different drivers possess vastly different densities at which traffic flow stagnates. This drawback can be overcome by modifying the pressure relation in the ARZ model, leading to the generalized Aw-Rascle-Zhang (GARZ) model. We present an approach to determine the parameter functions of the GARZ model from fundamental diagram measurement data. The predictive accuracy of the resulting data-fitted GARZ model is compared to other traffic models by means of a three-detector test setup, employing two types of data: vehicle trajectory data, and sensor data. This work also considers the extension of the ARZ and the GARZ models to models with a relaxation term, and conducts an investigation of the optimal relaxation time.
引用
收藏
页码:239 / 268
页数:30
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