A class of multi-phase traffic theories for microscopic, kinetic and continuum traffic models

被引：29

作者：

Borsche, Raul ^{[1
]}

Kimathi, Mark ^{[1
]}

Klar, Axel ^{[1
,2
]}

机构：

[1] Univ Kaiserslautern, Dept Math, D-67653 Kaiserslautern, Germany

[2] Fraunhofer ITWM Kaiserslautern, D-67663 Kaiserslautern, Germany

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2012年 / 64卷 / 09期

关键词：

Traffic flow; Macroscopic equations; Kinetic derivation; Multi-valued fundamental diagram; Stop and go waves; Phase transitions; FUNDAMENTAL DIAGRAM; FLOW MODEL; DERIVATION; CONGESTION; FEATURES;

D O I：

10.1016/j.camwa.2012.08.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper a review and numerical comparison of a special class of multi-phase traffic theories based on microscopic, kinetic and macroscopic traffic models is given. Macroscopic traffic equations with multi-valued fundamental diagrams are derived from different microscopic and kinetic models. Numerical experiments show similarities and differences of the models, in particular, for the appearance and structure of stop and go waves for highway traffic in dense situations. For all models, but one, phase transitions can appear near bottlenecks depending on the local density and velocity of the flow. (c) 2012 Elsevier Ltd. All rights reserved.

引用

页码：2939 / 2953

页数：15

共 53 条

[1]

[Anonymous], PHYS TRAFFIC

[2]

[Anonymous], 1999, Transportation Research Part F: Traffic Psychology and Behaviour, DOI DOI 10.1016/S1369-8478(00)00005-X

[3] Resurrection of "second order" models of traffic flow [J].