Equilibrium analysis and route guidance in large-scale networks with MFD dynamics

Recent studies have demonstrated that Macroscopic Fundamental Diagram (MFD), which provides an aggregated model of urban traffic dynamics linking network production and density, offers a new generation of real-time traffic management strategies to improve the network performance. However, the effect of route choice behavior on MFD modeling in case of heterogeneous urban networks is still unexplored. The paper advances in this direction by firstly extending two MFD-based traffic models with different granularity of vehicle accumulation state and route choice behavior aggregation. This configuration enables us to address limited traffic state observability and to scrutinize implications of drivers’ route choice in MFD modeling. We consider a city that is partitioned in a small number of large-size regions (aggregated model) where each region consists of medium-size sub-regions (more detailed model) exhibiting a well-defined MFD. This paper proposes a route guidance advisory control system based on the aggregated model as a large-scale traffic management strategy that utilizes aggregated traffic states while sub-regional information is partially known. In addition, we investigate the effect of equilibrium conditions (i.e. user equilibrium and system optimum) on the overall network performance, in particular MFD functions.     

不确定条件下机场群系统均衡配流模型研究

为探索客流在机场群的分布规律，以整个航空出行链为视角，综合考虑空中交通、地面交通和旅客出行选择偏好，构建机场群系统均衡配流模型.以路径时间、机场停留时间、出行票价和旅客类型为主要参考属性，提出机场群系统旅客出行成本模型.由于路径时间与流量相关且存在不确定性，基于预算超出时间对路径时间的均值与方差进行统一度量.综合路径时间、出行票价、机场停留时间与旅客类型，基于Logit模型建立旅客对航空出行路径的选择模型，将机场群系统的客流均衡条件转换为变分不等式.基于投影收缩算法对变分不等式求解，从而得出客流在机场群间的均衡分布状态.算例结果表明，机场群系统均衡配流模型有效建立了客流分布状态，调整路径时间、机场服务水平、票价等因素均可促进客流在机场群间的均衡分布.     

Learning marginal-cost pricing via a trial-and-error procedure with day-to-day flow dynamics

This paper investigates the convergence of the trial-and-error procedure to achieve the system optimum by incorporating the day-to-day evolution of traffic flows. The path flows are assumed to follow an ‘excess travel cost dynamics’ and evolve from disequilibrium states to the equilibrium day by day. This implies that the observed link flow pattern during the trial-and-error procedure is in disequilibrium. By making certain assumptions on the flow evolution dynamics, we prove that the trial-and-error procedure is capable of learning the system optimum link tolls without requiring explicit knowledge of the demand functions and flow evolution mechanism. A methodology is developed for updating the toll charges and choosing the inter-trial periods to ensure convergence of the iterative approach towards the system optimum. Numerical examples are given in support of the theoretical findings.     

无再分配局部平衡的相界平衡偏聚模型

本文提出用相界平衡偏聚来解释无再分配局部平衡(NP-LE)条件下,γ→a 转变过程中,γ/a 相界置换合金元素浓度峰的形成原因。在此基础上,用偏聚实现的动力学条件,计算了NP-LE 温区的下限温度,计算结果表明,NP-LE 温区的下限温度,与实测γ/a 相界Mn 浓度峰最强的温度相吻合,从而证实了本文所提出的相界平衡偏聚模型的合理性。     

日常路径选择行为的模拟研究

假设司机只能根据自己的历史经验做出判断，本文据此设计了日常路径选择行为中的四种路径更新规则。应用基于多智能体的模拟环境-SeSAm，在简单网络上对四种规则进行模拟，比较和分析了模拟结果。     

道路网络服务水平可靠性研究

以可靠性理论为基础,从出行者个体和网络管理者的角度提出了服务水平可靠性的概念,拓展了现有的路网可靠性评价指标.根据交通供给的随机性分析,将路段容量简化为离散随机变量,运用路网最可能状态生成算法,建立了路段及路网服务水平可靠性计算的近似算法,并在一简单网络上进行了计算分析.     

质点系相对运动参考系的平衡及其平衡位置的稳定性

本文通过对Lagrange方程结构的研究得到质点系相对运动参考系的平衡方程,并在此基础上讨论了具势的平稳与半平稳系统的相对平衡位置的稳定性。     

AN OPTIMAL SELF-SCALING STRATEGY TO THE MODIFIED SYMMETRIC RANK ONE UPDATING

1 Introduction Inthispaper,weconsidertheunconstrained optimizationproblem minf(x)(1.1) wheref(x):Rn→Ristwicecontinuouslydifferen tiable,andasolutionx totheproblemexists.Qua si Newtonmethodsforsolvingproblem(1.1)are widelyapplied.Startingfromaninitialpo…     

无缝线路的流变理论模型

本文对原苏联无缝线路（简称ＣＷＲ）的流变理论研究进行了介绍，并指出了其研究的不足。作者通过大量的模型的比选，并结合世界各国及我国的现有的实验资料，得到了较大符合我国ＣＷＲ具体情况的流变理论模型，并就此推导出了其微分方程。     

广告和服务投入及价格选择的多维博弈分析

根据现代企业在市场竞争中的特点，建立了2个企业在市场上同时进行产品广告、服务和产品价格选择的多维博弈模型，并求得其均衡解．对均衡解的分析表明，企业确定产品广告和服务投入以及价格选择时，应从上述3方面综合考虑，选择最优的策略向量，以使企业的利润最大化．