發(fā)布時間：2018-06-10 18:50

  本文選題：非均衡 + 出行行為　； 參考：《長沙理工大學》2015年碩士論文

【摘要】：由于交通網(wǎng)絡普遍處于非均衡狀態(tài)之中,使得城市交通網(wǎng)絡呈現(xiàn)非均衡特性。為克服傳統(tǒng)均衡理論的缺陷,利用非均衡理論研究交通流演化規(guī)律,來反映實際中交通出行決策過程,具有重要理論和現(xiàn)實意義。本文應用經(jīng)濟學非均衡理論,研究了非均衡網(wǎng)絡交通流演化規(guī)律,主要包括非均衡交通網(wǎng)絡特性、非均衡交通網(wǎng)中出行者的出行行為、非均衡網(wǎng)絡交通流動態(tài)演化模型、數(shù)值模擬四部分內(nèi)容,具體完成工作概括如下:1.首先通過闡述均衡與非均衡交通的定義,引入交通流分配相關理念并進行概括,進而明確了非均衡交通流理論的來源與基礎,接下來結(jié)合城市交通特性與普遍性分析交通性能對時間費用的影響,給出非均衡交通網(wǎng)絡特性并闡釋其與經(jīng)濟學中相似的特性,且從非均衡--均衡過程出發(fā)探尋出行者的出行行為規(guī)律、對交通造成的影響以及與整個交通網(wǎng)中的交通流的關系,為后續(xù)研究出行者的出行行為以及非均衡網(wǎng)絡交通流演化規(guī)律研究提供理論基礎。2.其次在明確了非均衡交通流理論的基礎上,對個體出行者出行行為進行分析,研究出行者選擇路徑時的理性行為調(diào)整過程(RBAP),對其基本的模型與思路進行細化且展示出其包含的五種特殊情形構成的出行行為模型,并對每日交通分配方法進行了總結(jié),同時為非均衡交通網(wǎng)絡交通流動態(tài)演化模型構建提供了理論依據(jù)。3.再次引入非均衡機制,綜合考慮出行成本和流量的調(diào)節(jié)作用,建立動態(tài)演化模型,來描述非均衡網(wǎng)絡交通流的演化規(guī)律,然后利用變分不等式和固定點問題對模型的穩(wěn)定性進行分析。4.按照設定的調(diào)整參數(shù)和初始條件,通過對單一起點和終點的簡單網(wǎng)絡進行數(shù)值模擬,刻畫了網(wǎng)絡交通流從非均衡狀態(tài)到均衡狀態(tài)的動態(tài)調(diào)整過程,并討論了在實際時變交通流和成本的調(diào)整過程中,非均衡狀態(tài)的變化情況。
[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.
【學位授予單位】：長沙理工大學
【學位級別】：碩士
【學位授予年份】：2015
【分類號】：U491

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本文編號：2004237