Abstract
In order to make the car-following model describe the driving behavior of vehicle on urban road more accurately, existing car-following models are simulated using measured traffic data. According to the analysis of the simulation result, two new improved car-following models based on the optimal velocity model (OVM) are proposed in this paper. The lateral vehicle’s influence is introduced as the influence factor of driving behavior. By using of linear stability analysis, stability conditions of improved car-following models are obtained. Nonlinear analysis is carried out to investigate the traffic performances near the critical point. The result of numerical simulation indicates that stability of traffic flow is under the influence from lateral vehicle; the lesser the influence, the greater the stability. New cooperative car-following models are verified by the traffic flow data collected in Xi’an city. It is shown that compared with the optimal velocity model, the simulation result of the second cooperative model, respectively, gets 62.89% unbiased variance reduction, 66.39% maximum absolute error reduction, and 33.4% minimum absolute error reduction. Therefore, the second cooperative model is more suitable to describe the vehicle’s actual behavior in car-following state.
Highlights
Car-following theory is one of the most important parts of modern traffic theory, which describes the dynamic behaviors of one vehicle following the other, and usually used in the study of microscopic traffic flow. e car-following theory has developed rapidly in recent decades, and an increasing number of models have been put forward, which include the early nonlinear models proposed by Pipes [1], Newell [2], the recent classic model presented by Bando et al [3], Helbing and Tilch [4] and Jiang et al [5], and some others in the literature [6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24]
With the consideration of influence of lateral vehicle, an improved car-following model based on the optimal velocity model (OVM) is proposed in this paper
We describe a kind of traffic phenomenon that the driver often does not keep up with the leading vehicle but drives at a velocity similar to that of the surrounding vehicles
Summary
Car-following theory is one of the most important parts of modern traffic theory, which describes the dynamic behaviors of one vehicle following the other, and usually used in the study of microscopic traffic flow. e car-following theory has developed rapidly in recent decades, and an increasing number of models have been put forward, which include the early nonlinear models proposed by Pipes [1], Newell [2], the recent classic model presented by Bando et al [3], Helbing and Tilch [4] and Jiang et al [5], and some others in the literature [6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24]. Bando et al [3] proposed a remarkable car-following model called the optimal velocity model (OVM) because it solves the problem of describing the motion of successive vehicles. Ge et al [14] believed that vehicles will be subject to the friction interference from the vehicle of neighbor lane, and the friction interference is related to the lateral distance between the vehicle and its closest-ahead vehicle in the neighbor lane Based on this consideration, they investigated an extended two-lane traffic flow with lane-changing behaviors and derived the stability condition by using the control method. With the consideration of influence of lateral vehicle, an improved car-following model based on the OVM is proposed in this paper.
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