Abstract
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.
Highlights
INTRODUCTIONThe research of traffic flow has attracted much attention of physicists and engineers
In the last decades, the research of traffic flow has attracted much attention of physicists and engineers
A few traffic flow models have investigated the influences of traffic interruption probability in the hydrodynamic models [11] and carfollowing models [12], and their results indicated that the consideration of the traffic interruption probability can improve the stability of traffic flow
Summary
The research of traffic flow has attracted much attention of physicists and engineers. A number of traffic models [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16], including microscopic carfollowing models, cellular automaton (CA) models, macroscopic continuum models, and macroscopic gas-kinetic-based models, have been proposed to describe the physical mechanisms of traffic phenomena Excellent reviews on this topic can be found in [1]. We review the performance of the previous lattice models of traffic flow, and put forward the extended lattice model considering the effect of traffic interruption probability on a single-lane highway.
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