Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 391, Issue 3, Pages 656-663Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2011.08.066
Keywords
Traffic interruption probability; Lattice model; Traffic flow
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Funding
- Chinese Ministry of Education [211123]
- Hunan Provincial Education Department, China [10B072]
- Doctor Startup Project Foundation of Hunan University of Arts and Science, China [BSQD1010]
- Scientific Research Foundation of Hunan University of Arts and Science, China [JJZD0902]
- Fund of Key Construction Academic Subjects of Hunan Province, China
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In this paper, we present a new lattice model which involves the effects of traffic interruption probability to describe the traffic flow on single lane freeways. The stability condition of the new model is obtained by the linear stability analysis and the modified Korteweg-de Vries (KdV) equation is derived through nonlinear analysis. Thus, the space will be divided into three regions: stable, metastable and unstable. The simulation results also show that the traffic interruption probability could stabilize traffic flow. (C) 2011 Elsevier B.V. All rights reserved.
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