Modeling and simulation of a traffic flow model considering the influence of traffic interruption
type: Item
instance of: scholarly article
title: Modeling and simulation of a traffic flow model considering the influence of traffic interruption
zbMATH Open document ID: 1390.90201
author: Shu-Hong Yang
author: Chui-Gui Li
author: Dong-Xue Xia
author: Meng Wang
author: Xiao-Rong Wang
published in: Mathematical \& Computational Applications
publication date: 2018-07-05T00:00:00Z
review text: Summary: In this paper, we present a new lattice model of traffic flow by considering the effects of traffic interruption probability. The stability condition of the proposed model is obtained by employing the linear stability theory. The results show that the stability of traffic flow is improved by considering the influence of traffic interruption. Applying the method of nonlinear analysis, the modified Korteweg-de Vries (mKdV) equation is derived to describe the traffic behavior near the critical point. The kink-antikink soliton and the solution of the mKdV equation are obtained to describe the traffic jams. The good agreement between theoretical analysis and numerical simulation indicates that our new consideration can stabilize the traffic flow effectively.
Mathematics Subject Classification ID: 90B20
Mathematics Subject Classification ID: 35F20
Mathematics Subject Classification ID: 35L60
zbMATH DE Number: 6898829
zbMATH Keywords: modeling and simulation
zbMATH Keywords: traffic interruption probability
zbMATH Keywords: nonlinear analysis
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: mca18020112
OpenAlex ID: W2184421104
DOI: 10.3390/MCA18020112
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description: scientific article; zbMATH DE number 6898829