前后多车影响的跟驰模型及稳定性分析

驾驶员在跟车行驶过程中，通常会通过视野前后车辆的行驶状态来调整自己的跟驰行为，基于此本文提出了一种考虑驾驶员视野内双前车和后车对跟驰车辆影响的改进跟驰模型.根据线性稳定分析方法，得到了改进模型的中性稳定性条件，并通过计算机仿真模拟进行了验证.为了进一步加强验证结果及说明改进模型的优越性，同经典FVD模型进行了数值仿真对比.仿真结果表明：灵敏度α越大越有利于提高改进跟驰系统的稳定性；同经典FVD跟驰模型相比，改进模型抵抗干扰的能力更突出，能够消散交通系统中的微小扰动，具有抑制交通拥堵和稳定交通流的有利作用.

Stability Analysis of A Car-following Model with Consideration of Preceding and Following Vehicles

A driver usually adjusts his car-following behavior by observing the preceding and following cars in his view. Based on this, an improved car-following model is proposed to consider the influence of the double preceding cars and the following car in the driver’s view on the car following. According to the linear stability analysis method, the neutral stability condition of the improved model is obtained and verified by computer simulation. In order to strengthen the verification results and illustrate the superiority of the improved model, the comparison with the FVDM is carried out. The results show that the greater the sensitivity α, the better the stability of the system; compared with the FVDM, the improved model is more capable of resisting interference, and can dissipate small disturbances in the traffic system, and has the advantage of restraining traffic congestion and stabilizing the traffic flow.