多车型限速下交通平衡配流模型及应用

发布时间：2018-03-17 02:26

本文选题：多车型限速　切入点：交通平衡配流模型　出处：《中国矿业大学》2015年硕士论文　论文类型：学位论文

【摘要】：城市交通网络平衡配流问题是城市交通运输中的一个基本且重要的问题。本文主要探讨将网络中车辆进行分类限速后对交通网络中运量的再分配及系统总时间的影响。第一章绪论部分简要介绍了问题的研究背景、意义及研究现状,论述了城市交通网络中的供需平衡概念和理论,并对交通平衡配流问题等价的数学规划模型进行了概述。第二章结合最新的研究成果,根据不同的车型给出多车型限速下的交通时间函数,提出了多车型限速下的交通平衡配流模型。第三章针对第二章提出的多车型限速下的交通平衡配流模型,利用KKT条件证明了多车型限速下交通平衡配流模型的解满足平衡条件,同时使用变分不等式证明了多车型限速下交通平衡配流问题解的唯一性。第四章在第二、三章的基础上,提出多车型限速下车辆限速方案的优化模型,该模型可以确定最优的车辆限速方案,改善交通拥堵(系统总时间最小),并将其应用到不同的交通网络算例中,寻找交通网络中最优限速路段集合,以及最优限速路段上相对较合理的限速值。
[Abstract]:The equilibrium assignment problem of urban traffic network is a basic and important problem in urban transportation. This paper mainly discusses the redistribution of traffic volume and the total system time after classifying and limiting the speed of vehicles in the network. The first chapter gives a brief introduction to the background of the research. In this paper, the concept and theory of supply and demand balance in urban traffic network are discussed, and the equivalent mathematical programming model of traffic equilibrium assignment problem is summarized. According to different vehicle models, the traffic time function under the speed limit of multiple models is given, and the traffic equilibrium flow distribution model under the speed limit of multiple models is proposed. Chapter 3 is aimed at the traffic equilibrium flow model under the speed limit of multiple models, which is proposed in chapter 2. By using the KKT condition, it is proved that the solution of the traffic equilibrium assignment model satisfies the equilibrium condition under the condition of multi-vehicle speed limit, and the uniqueness of the solution of the traffic equilibrium assignment problem under the multi-vehicle speed limit is proved by using the variational inequality. Chapter 4th is based on the second and third chapters. The optimization model of vehicle speed limit scheme under multi-vehicle speed limit is proposed. The model can determine the optimal vehicle speed limit scheme, improve traffic congestion (the total time of the system is minimum), and apply it to different traffic network examples. The set of optimal speed limit sections in traffic network and the relative reasonable speed limit value on the optimal speed limit section are found.
【学位授予单位】：中国矿业大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：U491

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