交通流演化动力学研究的一般框架及性质分析

发布时间：2018-07-02 22:52

本文选题：城市交通 + 交通流　；参考：《管理科学学报》2015年06期

【摘要】：针对道路网络需求时变的交通流达到均衡的条件以及均衡状态的稳定性问题,运用演化博弈理论和动力系统稳定性理论,提出了流量演化动力学研究的一般框架,建立了多群体多准则出行选择流量演化系统的动力学模型,证明了流量演化动力学模型平衡点与动态交通流量分配模型均衡解之间的等价性,讨论了模型解的存在性、唯一性和稳定性.理论分析结果表明,流量演化动力系统的演化稳定策略等价于动态交通流分配模型的均衡解,流量演化动力系统在某个局部区域总存在着唯一解,并且在出行者个体收益参数满足一定条件的前提下,流量演化动力系统在平衡点附近会表现出不同的稳定性质,通过一个简单路网的数值算例说明了本文建立模型的合理性和有效性.本文在出行者博弈行为和动态交通分配之间建立了联系,有助于加深对于城市交通流演化规律的认识和理解.
[Abstract]:Aiming at the condition of traffic flow equilibrium and the stability of equilibrium state when the demand of road network is time-varying, a general framework for the study of flow evolution dynamics is proposed by using evolutionary game theory and dynamic system stability theory. In this paper, the dynamic model of multi-group and multi-criteria trip selection flow evolution system is established. The equivalence between the equilibrium point of the flow evolution model and the equilibrium solution of the dynamic traffic flow distribution model is proved, and the existence of the model solution is discussed. Uniqueness and stability. The results of theoretical analysis show that the evolutionary stability strategy of the flow evolution dynamic system is equivalent to the equilibrium solution of the dynamic traffic flow distribution model, and there is always a unique solution for the flow evolution dynamic system in a local region. On the premise that the individual income parameters of the traveler satisfy certain conditions, the dynamic system of flow evolution will exhibit different stable properties near the equilibrium point. A numerical example of a simple road network is given to illustrate the rationality and validity of the proposed model. This paper establishes a relationship between the game behavior of travelers and dynamic traffic allocation, which is helpful to deepen the understanding and understanding of the evolution law of urban traffic flow.
【作者单位】：江汉大学商学院;南京大学工程管理学院;
【基金】：国家自然科学基金资助项目(71201078;71371094;71471084);国家自然科学基金海外及港澳学者合作研究基金项目(71228101) 中国博士后科学基金面上资助项目(2012M521053) 教育部人文社会科学研究青年基金资助项目(12YJCZH017) 江苏省基础研究计划(自然科学基金)资助项目(BK2012305)
【分类号】：U491.112

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