DERIVATION OF SECOND ORDER TRAFFIC FLOW MODELS WITH TIME DELAYS

被引：10

作者：

Burger, Michael ^{[1
]}

Goettlich, Simone ^{[2
]}

Jung, Thomas ^{[1
]}

机构：

[1] Fraunhofer Inst ITWM, D-67663 Kaiserslautern, Germany

[2] Univ Mannheim, Dept Math, D-68131 Mannheim, Germany

来源：

NETWORKS AND HETEROGENEOUS MEDIA | 2019年 / 14卷 / 02期

关键词：

Traffic flow models; hyperbolic delay partial differential equation; numerical simulations; microscopic to macroscopic; data fitting; SCHEMES;

D O I：

10.3934/nhm.2019011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Starting from microscopic follow-the-leader models, we develop hyperbolic delay partial differential equations to govern the density and velocity of vehicular traffic. The proposed models can be seen as an extension of the classical Aw-Rascle-Zhang model, where the reaction time of drivers appears as an additional term in the velocity equation. We propose numerical methods based on first principles and present a numerical study, where we focus on the impact of time delays in comparison to undelayed models.

引用

页码：265 / 288

页数：24

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