In the sphere of transit system assignment, the dynamic process models are receiving an increasing interest due to the necessity to explicitly simulate the system dynamics. The aim of this paper is to evaluate link flows and networks performances, such as travel times and levels of service, in day-to-day dynamics. In this paper the formulation of the modal split model, given by Nuzzolo and Russo , is recalled, stressing the dependency of whitin-day and day-to-day dynamics of the transit service. The modal split is influenced by the day-to-day learning components, like in the private transportation systems [3, 41. Once identified some components subject to day-to-day modification , some examples of system dynamics according to different supply evolution typologies are introduced. An analysis of the weight of the control parameters in the dynamic process is developed, considering the stability system conditions.
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