期刊
NETWORKS AND HETEROGENEOUS MEDIA
卷 8, 期 3, 页码 745-772出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/nhm.2013.8.745
关键词
Second order; traffic model; Payne-Whitham; Aw-Rascle-Zhang; jamiton; traveling wave; fundamental diagram; sensor data; effective flow rate
资金
- National Science Foundation
- NSF [DMS-0813648, DMS-1115278, DMS-0907955]
- NSERC
- [DMS-1007967]
- [DMS-1007899]
- [DMS-1115269]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1007967] Funding Source: National Science Foundation
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1007899] Funding Source: National Science Foundation
Fundamental diagrams of vehicular traffic flow are generally multi-valued in the congested flow regime. We show that such set-valued fundamental diagrams can be constructed systematically from simple second order macroscopic traffic models, such as the classical Payne-Whitham model or the inhomogeneous Aw-Rascle-Zhang model. These second order models possess non-linear traveling wave solutions, called jamitons, and the multi-valued parts in the fundamental diagram correspond precisely to jamiton-dominated solutions. This study shows that transitions from function-valued to set-valued parts in a fundamental diagram arise naturally in well-known second order models. As a particular consequence, these models intrinsically reproduce traffic phases.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据