Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 375, Issue 2, Pages 679-686Publisher
ELSEVIER
DOI: 10.1016/j.physa.2006.10.033
Keywords
car-following behavior; acceleration differences; stability analysis; traffic flow
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The stability analysis is one of the important problems in the traffic flow theory, since the congestion phenomena can be regarded as the instability and the phase transition of a dynamical system. Theoretically, we analyze the stable conditions of the full velocity and acceleration difference model (FVADM), which is proposed by introducing the acceleration difference term based on the previous car-following models (the optimal velocity model and the full velocity difference model, OVM and FVDM). By numerical simulations, it is found that when the traffic flow is unstable, the traffic jam in the FVADM is weaker than that in the FVDM. Also it is observed that the spreading speed of the jam is slower in the FVADM than that in the FVDM and the fluctuations of vehicles in the FVADM are smaller than those in the FVDM. Therefore, the acceleration difference term has strong effects on traffic dynamics and plays an important role in stabilizing the traffic flow. (c) 2006 Elsevier B.V. All rights reserved.
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