Robust traffic assignment model: Formulation,solution algorithms and empirical application

ABSTRACT

The deterministic traffic assignment problem based on Wardrop's first criterion of traffic network utilization has been widely studied in the literature. However, the assumption of deterministic travel times in these models is restrictive, given the large degree of uncertainty prevalent in urban transportation networks. In this context, this paper proposes a robust traffic assignment model that generalizes Wardrop's principle of traffic network equilibrium to networks with stochastic and correlated link travel times and incorporates the aversion of commuters to unreliable routes.

The user response to travel time uncertainty is modeled using the robust cost (RC) measure (defined as a weighted combination of the mean and standard deviation of path travel time) and the corresponding robust user equilibrium (UE) conditions are defined. The robust traffic assignment problem (RTAP) is subsequently formulated as a Variational Inequality problem. To solve the RTAP, a Gradient Projection algorithm is proposed, which involves solving a series of minimum RC path sub-problems that are theoretically and practically harder than deterministic shortest path problems. In addition, an origin-based heuristic is proposed to enhance computational performance on large networks. Numerical experiments examine the computational performance and convergence characteristics of the exact algorithm and establish the accuracy and efficiency of the origin-based heuristic on various real-world networks. Finally, the proposed RTA model is applied to the Chennai road network using empirical data, and its benefits as a normative benchmark are quantified through comparisons against the standard UE and System Optimum (SO) models.     

A new model for temporal–spatial stochastic analysis of vehicle–track coupled systems

The vehicle–track coupled system has a random nature in the time–space domain. This paper proposes a computational model to analyse the temporal–spatial stochastic vibrations of vehicle–track systems, where the vehicle–track system is divided into a vehicle subsystem, track subsystem, and interfacial subsystem between the wheel and rail. In this model, the time-varying randomicity of dynamical parameters of the vehicle system, correlation, and randomness of the track structural parameters in the time–space joint dimensions, and randomness of the track random irregularities are considered. A probability dimension-reduction method was used to randomly combine different random variables. Furthermore, the probability density evolution method was applied to solve the delivery problem of probabilities between excitation inputs and response outputs. The temporal–spatial stochastic vibrations of the vehicle–track system with different coefficients of variation were studied, in which we assumed that the dynamic parameters obeyed the normal distribution, and the stochastic simulation method of the track random irregularities is probed into. The calculated results from this model are consistent with the actual measured results and physical conceptions. Thus, the temporal–spatial stochastic evolutionary mechanism can be explored, and the limits of dynamic indices can be formulated by using this developed model.     

桥梁加宽中新增梁对旧桥的影响

依托黄土地区高速公路改扩建桥梁加宽工程,选取一座3孔13 m简支空心板桥,分析新增空心板梁对旧桥原有板梁的影响。基于不同加宽方案对新旧桥空心板梁横向分布系数进行了计算,计算结果表明增加新梁截面刚度可有效降低旧梁横向分布系数。建议采用移旧桥边梁为新桥边梁并且提高新增空心板梁刚度的加宽方案。     

自锚式斜拉-悬索协作体系桥静风响应分析

自锚式斜拉-悬索协作体系桥作为一种全新的结构体系,兼备了自锚式悬索桥和斜拉桥的许多优点,结构体系则更为复杂。结合400m主跨的金州海湾大桥这一实际工程方案,建立了有限元空间分析模型,分析了其在静风荷载作用下的非线性行为,总结了初始攻角、附加攻角等参数及是否考虑缆索系统承受风荷载等对体系的影响规律。     

城市灯控平面交叉口的自行车交通设计研究

城市灯控平面交叉口混合交通流安全和效率的核心研究对象应该是自行车与机动车交通流间的相互影响。本丈在大量的理论分析和实践的基础上,探讨时空分离法的自行车交通设计的基本原则和交通空间设计方法,即自行车右转弯专用车道设计、左转自行车二次过街以及自行车与行人过街一体化设计,并进行了南京市太平北路与珠江路交叉口的应用实例分析。本文的城市灯控平面交叉口自行车的交通设计方法可为解决城市灯控平面交叉口混合交通问题提供借鉴。     

基于FDS公路隧道火灾仿真研究

针对公路隧道突发火灾事故问题,采用模拟软件对隧道发生的火灾进行研究。分析火灾条件下公路隧道内被困人群的疏散行为特点,给出隧道内人员疏散的安全依据,按照隧道火灾条件下通风风速不同时火灾烟气蔓延情况,确定火灾可利用疏散时间(ASET),通过分析人员疏散特点计算出所需的疏散时间(RSET),通过对比得出:通风风速至少为3m/s时才能保证人员的安全疏散。     

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基于视频的交通流检测在智能交通系统中具有重要意义。本文针对广泛采用的低位摄像机,提出了一种交通流特性参数的检测分析方法。首先基于三级虚拟检测线和自适应更新率局部背景建模来快速提取车辆特征点并消除活动阴影对提取精度的影响;然后基于Adaboost（Adaptive Boosting,自适应增强）分类器实现特征点按车分组,并在跟踪过程中根据运动特征相关度消除分组误差,获取高精度的车辆轨迹;进而自动生成多车道轨迹时空图并提取各车道交通流的多种特性参数。实验结果验证了算法的高效性;同时,自动生成的多车道轨迹时空图也为更多的交通信息获取和更深入的交通流特性分析提供了有力支持。     

基于时间约束的铁路空车调配系统可靠性分析

为弥补现有铁路空车调配系统缺乏空车调配可靠性研究的缺陷,在传统空车调配优化模型的基础上,本文提出了一种新的基于时间约束的空车调配可靠性分析方法。通过深入分析铁路空车调配过程,建立效益最大化目标函数,生成约束条件,以规定时间内的实际到达空车数与需求空车数之比计算出各需求站的空车调配可靠性,再利用各需求站可靠性均值求解空车调配系统的可靠性。最后,使用LINGO软件进行算例分析,论证了该方法的可行性和有效性。     

考虑多人相互影响的舰船通道最短路径规划

将时间维引入既定舰船通道网络,把考虑多人相互影响的动态最优路径规划问题转化为时间依赖网络中的最优路径搜索问题。首先,论文的算法为所有人员随机生成走行路径,为了预测网络中的弧(路段)的走行时间,按人员速度从慢到快的顺序依次计算并记录人员到达路径中的各路段首节点的时刻,先记录到的人员将成为后记录到的人员的动态障碍。然后,将遗传算法与网络中弧的走行时间预测方法相结合,借助遗传算法的个体多样性天然地解决了人员走行任意性问题,因而获得了全局动态最优路径算法,并仿真计算了两人以及三人的最短时间路径;经与不考虑人员间相互影响时获得的最优路径相比较,论文的算法获得了人员遇到障碍时(或跟行或绕行)的最优走行路径。最后,借助时间依赖网络中的最优路径充要条件定理,说明了算法的有效性。     

新型沙漏式FPSO的浮体外形参数对水动力性能的影响

为了解决传统船型和已有圆柱筒状FPSO的性能局限,论文提出了一种具有沙漏型浮式主体的新概念FPSO。根据所研发的新型沙漏式浮体模型,确定了能够反映浮体几何形状、FPSO基本功能和水动力性能的5个相互独立的外形参数。然后,采用基于频域势流理论的边界元数值模拟方法研究了新型沙漏式浮体在波浪中的运动响应,并且定性分析了不同浮体外形参数(下倾角、水线面半径等)对浮体水动力性能的影响,得到一些有意义的结论,以期能够为新型沙漏式FPSO的主浮体外形设计提供参考依据和准则。