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.     

基于船种聚类的航道通过能力量化方法

为准确计算航道通过能力,针对单双向通航方式并存的混合通航航道,建立了基于船种聚类的航道通过能力量化模型.根据海港航道通航管理规则,对不同船舶种类进行分类,通过聚类算法确定船舶种类特征及其分布概率.与传统航道通过能力计算方法相比,对不同种类船舶所占航道资源分别附以不同权重,同时考虑船舶通航方式改变对航道通过能力的影响,能够更加准确地量化航道通过能力.应用天津港大沽沙航道数据进行了实例分析,目前航道实际月通过船舶约为1 905艘次,计算得到大沽沙航道月通过能力为2 350艘次,并且与港口公共混合通航航道通过能力计算结果4 455艘次/月相对比,前者的结果更符合实际情况,后者的结果明显大于实际航道通过能力.结果表明,基于船种聚类的航道通过能力量化方法能更加准确地反映航道实际情况.     

信息影响条件下考虑出行异质性的路径选择模型

出行者路径选择行为的研究对于预测城市交通流时空分布规律及维持网络经济、高效运转具有重要意义.为了探究多类型异质出行者路径选择行为的异同,研究了基于累积前景理论的多类别异质出行者路径选择模型.通过定义出行者参考点,引入考虑时间价值系数的风险敏感系数计算方法,以保证异质出行者拥有异质的风险偏好,研究分析了是否提供实时路况信息2种情境下常规通行者与通勤者路径选择行为的异同.数值算例表明,拥有较大参考点的出行者更倾向于保守地选择一条出行时间较长的道路,而其他人则更加冒险.此外,与通勤者相比,当备选方案均可以满足自身出行需求且自身参考点足够大时,常规出行者更愿意忽视风险,以获得更高的出行收益.     

路锥投收自动控制系统的研制

针对高速公路交通事故现场快速隔离、警示和防护等日益增强的需求,提出一种新型路锥自动投收装置的系统设计方案.针对传统大型路锥投收装置费用高、结构复杂的弊端,利用虚拟样机技术开展紧凑型路锥自动铺设、回收一体化装置的机械结构的设计,包括路锥的叠置、拾取、传送、放置等机构.并利用Pro/E、ADMAS等仿真软件进行仿真测试.基于ARM提出嵌入式的系统总体设计方案:以uCOS-II操作系统为平台,以STM32系列单片机为CPU,完成控制器的软硬件设计,并采用"S"型加减速控制曲线策略实现电机的平滑控制.基于Android开发了操作方便、友好的人机交互接口,以"蓝牙"作为上下位机的通信桥梁,以RSA算法作为上下位机数据交互中的安全的保障.实车测试结果表明,该设计方案的路锥投放与回收成功率均达到95%,基本符合要求.但高、低速时路锥投放、回收的成功率差异较大(6%),此外,路锥的倒伏率达到5%,该单项指标基本不满足设计要求.     

基于时空GPSO-SVM的短时交通流预测

为了提高城市道路短时交通流预测的精度,提出了一种基于时空遗传粒子群支持向量机的短时交通流预测模型.通过主成分分析法对路网原始交通流量进行时空相关性分析,用较少的主成分代替原始交通流量并作为预测因子,在粒子群算法中引入遗传算法的交叉和变异因子,避免粒子群算法陷入局部最优.利用改进后的粒子群算法优化支持向量机参数,得到最优的支持向量机模型,并实现城市道路的短时交通流预测.以长春市路网的实测数据为基础进行了实例验证,结果表明,优化支持向量机参数时,遗传粒子群算法不会陷入局部最优,优化效果更好;与粒子群支持向量机模型和遗传粒子群支持向量机模型相比,所提出预测模型的相对误差波动较稳定,平均预测精度分别提高了4.96%和3.41%.     

超大跨径斜拉桥钢桥面板疲劳损伤监测与断裂力学研究

为研究超大跨径斜拉桥钢桥面板的疲劳损伤问题,本文以某斜拉桥为工程背景,对实桥进行了现场疲劳损伤监测与分析,并基于断裂力学的三维裂纹扩展模型,对钢箱梁顶板-U肋和横隔板-U肋等焊接细节进行了数值仿真与研究。结果表明：实桥顶板-U肋焊缝细节高应力幅(大于10MPa)循环次数与疲劳损伤度明显低于横隔板-U肋细节,横隔板-U肋焊缝最大应力幅达到75~90MPa,顶板-U肋焊缝最大应力幅为15~30MPa,横隔板-U肋焊缝细节处裂纹数量远大于顶板-U肋焊缝细节处裂纹数量;顶板-U肋焊缝裂纹在扩展过程中基本保持平面,裂纹扩展有先沿焊缝方向纵向扩展,再向深度方向扩展的趋势;横隔板-U肋焊缝焊趾处裂纹先沿初始裂纹深度方向在横隔板扩展,再向横隔板厚度方向扩展,焊趾处裂纹先向U肋厚度方向扩展,后沿初始裂纹长度方向顺桥向扩展;在初始裂纹尺寸与荷载条件相同的情况下,顶板-U肋焊缝焊趾处裂纹扩展速度大于焊根处裂纹扩展速度,横隔板-U肋焊缝焊趾处裂纹扩展速率大于横隔板焊趾处裂纹扩展速率。     

The Kalker book of tables for non-Hertzian contact of wheel and rail

A new regularisation of non-elliptical contact patches has been introduced, which enables building the look-up table called by us the Kalker book of tables for non-Hertzian contact (KBTNH), which is a fast creep force generator that can be used by multibody dynamics system simulation programs. The non-elliptical contact patch is regularised by a simple double-elliptical contact region (SDEC). The SDEC region is especially suitable for regularisation of contact patches obtained with approximate non-Hertzian methods for solving the normal contact problem of wheel and rail. The new regularisation is suitable for wheels and rails with any profiles, including worn profiles.

The paper describes the new procedure of regularisation of the non-elliptical contact patch, the structure of the Kalker book of tables, and parameterisation of the independent variables of the tables and creep forces.

A moderate volume Kalker book of tables for SDEC region suitable for simulation of modern running gears has been computed in co-simulation of Matlab and program CONTACT.

To access the creep forces of the Kalker book of tables, the linear interpolation has been applied.

The creep forces obtained from KBTNH have been compared to those obtained by program CONTACT and FASTSIM algorithm. FASTSIM has been applied on both the contact ellipse and the SDEC contact patch. The comparison shows that KBTNH is in good agreement with CONTACT for a wide range of creepage condition and shapes of the contact patch, whereas the use of FASTSIM on the elliptical patch and SDEC may lead to significant deviations from the reference CONTACT solutions.

The computational cost of calling creep forces from KBTNH has been estimated by comparing CPU time of FASTSIM and KBTNH. The KBTNH is 7.8–51 times faster than FASTSIM working on 36–256 discretisation elements, respectively.

In the example of application, the KBTNH has been applied for curving simulations and results compared with those obtained with the creep force generator employing the elliptical regularisation. The results significantly differ, especially in predicted creepages, because the elliptical regularisation neglects generation of the longitudinal creep force by spin creepage.     

双塔双索面稀索斜拉桥加固设计

以南阁大桥的主桥斜拉桥加固为工程背景,基于将挂梁与主跨相邻35m工字梁作为整体来计算桥梁结构损伤程度校验系数的研究现状,考虑将挂梁作为单独受力的简支梁置于两侧斜拉桥框架上来计算校验系数,并据此校验系数判定桥梁的损伤程度,对旧桥进行加固设计。     

泥石流对公路工程的影响及其防护措施

介绍泥石流的形成条件及其对公路工程的影响,结合"5·12"汶川地震后泥石流灾害工程的防治对策,对公路工程泥石流防治的措施进行分析和探讨,对震后修建的防治泥石流灾害新型结构进行总结。     

橡胶沥青混凝土路面在港区道路中的应用

针对港区道路的重载交通特性,进行橡胶沥青混合料室内单轴压缩试验、车辙试验及小梁弯曲试验。结果表明:橡胶沥青混合料的回弹模量、高温性能与SBS改性沥青混合料相当,但其疲劳性能最好,比基质沥青混合料高1倍多。将橡胶沥青混合料用于试验路段,结果表明:橡胶沥青路面的路表渗水系数、混合料压实度、构造深度以及表面抗滑系数都能够满足规范基本要求。基于试验,提出港区道路适用的路面结构形式为4 cm橡胶沥青AC-13+6 cm基质沥青AC-20。