A New Continuum Model considering Driving Behaviors and Electronic Throttle Effect on a Gradient Highway. (18th May 2020)

• Record Type: Journal Article
• Authors: Jiao, Yulei; Cheng, Rongjun; Ge, Hongxia
• Other Names: Cheng Yumin Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2020(2020)
• Publication Date: 2020-05-18
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2020/2172156
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : In order to explore the potential impact of sloping road on traffic flow, an improved car-following model considering electronic throttle (ET) dynamics and driver's driving characteristics on slope is proposed. Based on the improved car-following model, a new continuum model is established through the conversion relationship between microscopic variables and macroscopic variables. Firstly, the stability condition of the model is obtained by using the linear stability theory, after that the evolution process of traffic flow density wave near the neutral stability curve is studied by using the nonlinear analysis method, and we also get the improved KdV-Burgers equation. At the same time, numerical experiments and experimental verification of the model are carried out; the theoretical analysis and numerical results show that the ET effect and aggressive driving of drivers play an important role in alleviating traffic congestion to a certain extent.