DERIVATION AND STABILITY ANALYSIS OF A MACROSCOPIC MULTILANE MODEL FOR TRAFFIC FLOW

被引：0

作者：

Piu, Matteo ^{[1
]}

Herty, Michael ^{[2
]}

Puppo, Gabriella ^{[3
]}

机构：

[1] Sapienza Univ Rome, Dept Basic & Appl Sci Engn, Rome, Italy

[2] Rhein Westfal TH Aachen, Inst Appl Math, Aachen, Germany

[3] Sapienza Univ Rome, Dept Math, Rome, Italy

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2023年 / 83卷 / 05期

关键词：

vehicular traffic; multilane; macroscopic limit; balance laws; stability; numerical tests; HYBRID; WAVES;

D O I：

10.1137/22M1543288

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The mathematical modeling and the stability analysis of multilane traffic in the macroscopic scale is considered. We propose a new first order model derived from microscopic dynamics with lane changing, leading to a coupled system of hyperbolic balance laws. The macroscopic limit is derived without assuming ad hoc space and time scalings. The analysis of the stability of the equilibria of the model is discussed. The proposed numerical tests confirm the theoretical findings between the macroscopic and microscopic modeling, and the results of the stability analysis.

引用

页码：2052 / 2072

页数：21

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