| 考虑司机扰动风险偏好异质的跟驰模型 |
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| 引用本文： | 曾友志,张宁,刘利娟.考虑司机扰动风险偏好异质的跟驰模型[J].物理学报,2014,63(6):68901-068901. |
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| 作者姓名： | 曾友志 张宁 刘利娟 |
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| 作者单位： | 北京航空航天大学经济管理学院, 北京 100083 |
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| 基金项目： | 国家自然科学基金(批准号:70971003)资助的课题~~ |
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| 摘 要： | 基于优化速度模型,考虑司机扰动风险偏好异质的影响,提出了扩展模型.通过线性稳定性分析,得到了扩展模型的稳定性条件,表明前车司机扰动风险偏好系数相对跟驰车司机扰动风险偏好系数越小,扩展模型稳定区域越大.通过非线性分析获得了不稳定区域下的扭结-反扭结密度波.数值仿真也表明两者比值越小,越有利于初始稳态车流抑制扰动的传播和交通堵塞的形成.这为减少交通堵塞提供了一个可行的思路,比如按照司机扰动风险偏好系数相对大小由小到大进行排队形成车队行驶等.
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| 关 键 词： | 交通堵塞 跟驰模型 司机异质 扰动风险偏好 |
| 收稿时间： | 2013-10-20 |
A new car-following model considering drivers’ heterogeneity of the disturbance risk appetite |
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| Zeng You-Zhi,Zhang Ning,Liu Li-Juan.A new car-following model considering drivers’ heterogeneity of the disturbance risk appetite[J].Acta Physica Sinica,2014,63(6):68901-068901. |
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| Authors: | Zeng You-Zhi Zhang Ning Liu Li-Juan |
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| Abstract: | Based on the optimal velocity model, with the consideration of the effect of drivers’ heterogeneity of the disturbance risk appetite, an extended model is proposed. The linear stable judging condition is obtained for the extended model by its stability analysis, which shows the smaller the ratio of the coefficient of the disturbance risk appetite for the former car driver to that for the following-car driver, the larger the stability area of the extended model is. The kink-antikink density wave is attained in an unstable area of the model by nonlinear analysis. Simulation results also show that the smaller the ratio of the coefficient of the disturbance risk appetite for the former car driver to that for the following-car driver, the better it is for the initial traffic flow to inhibit the disturbance propagation, hinder the formation of traffic jams and restore homeostasis. This paper provides a viable idea to reduce traffic congestion, for example, by forming convoys traveling in order from small to big according to the relative size of drivers’ coefficients of the disturbance risk appetite.
Keywords：
traffic congestion
the car-following model
drivers’heterogeneity
the disturbance risk appetite |
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| Keywords: | traffic congestion the car-following model drivers’heterogeneity the disturbance risk appetite |
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