非均衡网络交通流演化研究

发布时间：2018-06-10 18:50

本文选题：非均衡 + 出行行为　；参考：《长沙理工大学》2015年硕士论文

【摘要】：由于交通网络普遍处于非均衡状态之中,使得城市交通网络呈现非均衡特性。为克服传统均衡理论的缺陷,利用非均衡理论研究交通流演化规律,来反映实际中交通出行决策过程,具有重要理论和现实意义。本文应用经济学非均衡理论,研究了非均衡网络交通流演化规律,主要包括非均衡交通网络特性、非均衡交通网中出行者的出行行为、非均衡网络交通流动态演化模型、数值模拟四部分内容,具体完成工作概括如下:1.首先通过阐述均衡与非均衡交通的定义,引入交通流分配相关理念并进行概括,进而明确了非均衡交通流理论的来源与基础,接下来结合城市交通特性与普遍性分析交通性能对时间费用的影响,给出非均衡交通网络特性并阐释其与经济学中相似的特性,且从非均衡--均衡过程出发探寻出行者的出行行为规律、对交通造成的影响以及与整个交通网中的交通流的关系,为后续研究出行者的出行行为以及非均衡网络交通流演化规律研究提供理论基础。2.其次在明确了非均衡交通流理论的基础上,对个体出行者出行行为进行分析,研究出行者选择路径时的理性行为调整过程(RBAP),对其基本的模型与思路进行细化且展示出其包含的五种特殊情形构成的出行行为模型,并对每日交通分配方法进行了总结,同时为非均衡交通网络交通流动态演化模型构建提供了理论依据。3.再次引入非均衡机制,综合考虑出行成本和流量的调节作用,建立动态演化模型,来描述非均衡网络交通流的演化规律,然后利用变分不等式和固定点问题对模型的稳定性进行分析。4.按照设定的调整参数和初始条件,通过对单一起点和终点的简单网络进行数值模拟,刻画了网络交通流从非均衡状态到均衡状态的动态调整过程,并讨论了在实际时变交通流和成本的调整过程中,非均衡状态的变化情况。
[Abstract]:Because the traffic network is generally in the state of disequilibrium, the urban transportation network presents the disequilibrium characteristic. In order to overcome the defects of the traditional equilibrium theory, it is of great theoretical and practical significance to study the evolution law of traffic flow by using non-equilibrium theory to reflect the process of traffic travel decision-making in practice. Based on the theory of economic disequilibrium, this paper studies the evolution law of unbalanced network traffic flow, including the characteristics of unbalanced traffic network, the travel behavior of travelers in unbalanced traffic network, and the evolution model of unbalanced network traffic flow. Numerical simulation of the four parts, the specific work summarized as follows: 1. First of all, by expounding the definition of equilibrium and non-equilibrium traffic, introducing and generalizing the related concepts of traffic flow distribution, the origin and foundation of the theory of non-equilibrium traffic flow are clarified. Then, combining the characteristics of urban traffic and universality, the paper analyzes the influence of traffic performance on time cost, gives the characteristics of non-equilibrium traffic network and explains its similar characteristics to those in economics. And from the process of non-equilibrium to explore the travel behavior of travelers, the impact on the traffic and the relationship between the travel behavior and the traffic flow in the whole traffic network. It provides a theoretical basis for the further study of travelers' travel behavior and the evolution of unbalanced network traffic flow. Secondly, on the basis of the theory of non-equilibrium traffic flow, we analyze the individual travelers' travel behavior. This paper studies the rational behavior adjustment process of travelers when they choose the path, refines its basic model and ideas, and shows the travel behavior model which consists of five special cases, and summarizes the daily traffic assignment method. At the same time, it provides a theoretical basis for constructing the evolution model of traffic flow in unbalanced traffic network. After introducing the disequilibrium mechanism and considering the regulating effect of travel cost and flow, the dynamic evolution model is established to describe the evolution law of unbalanced network traffic flow. Then the stability of the model is analyzed by using variational inequality and fixed point problem. According to the set adjustment parameters and initial conditions, the dynamic adjustment process of network traffic flow from non-equilibrium state to equilibrium state is described by numerical simulation of a simple network with a single starting point and an end point. The change of unbalanced state in the process of adjusting the actual time-varying traffic flow and cost is discussed.
【学位授予单位】：长沙理工大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：U491

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