报 告 人：韩凌辉
韩凌辉，博士，2014年毕业于北京交通大学，现在为新加坡南洋理工大学土木与环境工程学院研究员。研究领域为城市交通出行者路径及方式选择行为、城市交通流的动态演化及动态控制问题。目前他正在做的研究包括各种出行选择行为条件下的城市交通流的动态模型（day-to-day or within-day traffic dynamics）、多类型出行者的交通分配、网络设计问题、动态拥堵收费及交通信号灯设计等动态交通拥堵控制方案的设计。已发表SCI检索论文10余篇，包括Transportation Research Par B、Computers & Operations Research、Tansportmetrica B。
In this study, we focus on the discrete-time day-to-day dynamic congestion pricing scheme which varies the toll on a day-to-day basis and aims to drive the traffic system to a given objective traffic equilibrium state. As is well known, due to the asymmetric nature of the travel cost functions, multiple equilibria exist. In this case, without external force, the traffic system cannot converge to the traffic equilibrium state as desired by traffic management through a day-to- day adjustment process if the initial traffic state does not fall into its attraction domain (Bie and Lo, 2010). Therefore, it is imperative for traffic management to propose a traffic control measure to ensure the desired traffic state can be achieved regardless of the initial traffic state. Previous studies on the day-to- day dynamic congestion pricing, either worked on continues-time day-to-day pricing scheme, or took the form of discrete-time day-to-day pricing scheme but did not guarantee the convergence to the desired objective traffic state for the cases when multiple traffic equilibria exist. Both are undesirable. This study aims to develop a discrete-time day-to-day pricing scheme so as to direct the traffic evolution to reach the desired equilibrium from any initial traffic state when multiple traffic equilibria exist. Based on the very general formulation of day-to-day traffic dynamics model, we present a general formulation of such day-to-day pricing schemes and propose a method to obtain one specific road pricing scheme. Moreover, we present rigorous proofs and numerical tests to verify the proposed pricing scheme.