The individual difference, particularly in drivers' distance perception, is introduced in the microscopic one-dimensional optimal velocity model to investigate its effect on the onset of the jamming instability seen in traffic systems. We show analytically and numerically that the individual difference helps to inhibit the traffic jam at high vehicle densities while it promotes jamming transition at low vehicle densities. In addition, the jamming mechanism is further investigated by tracking how the spatial disturbance travels through traffics. We find that the jamming instability is uniquely determined by the overall distribution of drivers' distance perception rather than the spatial ordering of vehicles. Finally, a generalized form of the optimal velocity function is considered to show the universality of the effect of the individual difference.

中文翻译：

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个体差异对交通流干扰转变的影响

在微观一维最优速度模型中引入个体差异，特别是驾驶员距离感知方面的差异，以研究其对交通系统中出现的干扰不稳定性的影响。我们从分析和数值上表明，个体差异有助于抑制高车辆密度下的交通拥堵，同时促进低车辆密度下的拥堵过渡。此外，通过跟踪空间干扰如何在交通中传播，进一步研究了干扰机制。我们发现干扰不稳定性是由驾驶员距离感知的整体分布而不是车辆的空间顺序唯一决定的。最后，