This paper studies how the advanced traveler information affects the stability of the day-to-day flow evolution of a transportation system. Two scenarios are investigated regarding the types of information provided, where one type is the historical travel time and the other the forecasted travel time. Given the information, travelers are assumed to form their own perception/prediction on travel time and further choose the routes. The day-to-day dynamics under the two above-mentioned scenarios are formulated using both discrete-time and continuous-time models, and their respective local stability is analyzed. Findings from the discrete-time and continuous-time models are compared, which show that: (i) the discrete-time models behave in a more complex fashion than the continuous-time models, and (ii) the conclusions drawn from the discrete-time modeling and continuous-time modeling can be consistent, different or contradictory, which depends on the system parameters, network structure, the travel time functions and the route choice probability functions.

本文研究高级旅行者信息如何影响运输系统日常流量演化的稳定性。对于提供的信息类型，研究了两种情况，一种是历史旅行时间，另一种是预测旅行时间。根据这些信息，假定旅行者对旅行时间形成自己的看法/预测，并进一步选择路线。利用离散时间模型和连续时间模型，建立了上述两种情况下的日常动态，并分析了它们各自的局部稳定性。比较了离散时间模型和连续时间模型的发现，结果表明：（i）离散时间模型的行为比连续时间模型更复杂，