An implicit path enumeration model and algorithm for dynamic traffic assignment with congestion spillback
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چکیده
A new continuous formulation of Dynamic Traffic Assignment, where a user equilibrium is expressed as a fixed point problem in terms of arc flow temporal profiles, is proposed. The precise aim of the paper is to integrate spillback modelling into an existing formulation of DTA, based on implicit path enumeration, which is capable of representing explicitly the formation and dispersion of vehicle queues on the road network, but allows the queue length to overcome the arc length. Specifically, we take into account the interaction among network links upstream and downstream road intersections deriving from time varying entering and exiting arc capacities due to vehicle queue spillovers, which is equivalent to introducing constraints on the queue lengths. To achieve this extension we introduce a sequence of models, that is the arc entering capacity model, the arc exiting capacity model, and the arc travel time model for time varying exiting capacity, describing, for given turning flow temporal profiles, the dynamic of the network nodes and arcs, and capable of representing the propagation of congestion among contiguous road links. Some numerical examples are devised to appreciate the relevant effect of spillback modelling in the context of DTA.
منابع مشابه
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تاریخ انتشار 2004