多車型限速下交通平衡配流模型及應(yīng)用
發(fā)布時(shí)間:2018-03-17 02:26
本文選題:多車型限速 切入點(diǎn):交通平衡配流模型 出處:《中國(guó)礦業(yè)大學(xué)》2015年碩士論文 論文類型:學(xué)位論文
【摘要】:城市交通網(wǎng)絡(luò)平衡配流問(wèn)題是城市交通運(yùn)輸中的一個(gè)基本且重要的問(wèn)題。本文主要探討將網(wǎng)絡(luò)中車輛進(jìn)行分類限速后對(duì)交通網(wǎng)絡(luò)中運(yùn)量的再分配及系統(tǒng)總時(shí)間的影響。第一章緒論部分簡(jiǎn)要介紹了問(wèn)題的研究背景、意義及研究現(xiàn)狀,論述了城市交通網(wǎng)絡(luò)中的供需平衡概念和理論,并對(duì)交通平衡配流問(wèn)題等價(jià)的數(shù)學(xué)規(guī)劃模型進(jìn)行了概述。第二章結(jié)合最新的研究成果,根據(jù)不同的車型給出多車型限速下的交通時(shí)間函數(shù),提出了多車型限速下的交通平衡配流模型。第三章針對(duì)第二章提出的多車型限速下的交通平衡配流模型,利用KKT條件證明了多車型限速下交通平衡配流模型的解滿足平衡條件,同時(shí)使用變分不等式證明了多車型限速下交通平衡配流問(wèn)題解的唯一性。第四章在第二、三章的基礎(chǔ)上,提出多車型限速下車輛限速方案的優(yōu)化模型,該模型可以確定最優(yōu)的車輛限速方案,改善交通擁堵(系統(tǒng)總時(shí)間最小),并將其應(yīng)用到不同的交通網(wǎng)絡(luò)算例中,尋找交通網(wǎng)絡(luò)中最優(yōu)限速路段集合,以及最優(yōu)限速路段上相對(duì)較合理的限速值。
[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.
【學(xué)位授予單位】:中國(guó)礦業(yè)大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2015
【分類號(hào)】:U491
【參考文獻(xiàn)】
相關(guān)期刊論文 前1條
1 蒲琪;楊超;涂穎菲;;基于二次插值法的交通需求組合模型算法[J];同濟(jì)大學(xué)學(xué)報(bào)(自然科學(xué)版);2009年12期
,本文編號(hào):1622769
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