Instantaneous dynamic equilibria (IDE) are an equilibrium concept for flows over time with deterministic queueing wherein individual flow particles make selfish decisions based on current information. This can be used as a model for car traffic where each driver initially chooses her route in such a way as to minimize her travel time under the current congestion state of the road network and then continuously adapts her route while driving. In this paper we summarize the main results from the author’s dissertation [4] on this topic, which addresses the following three fundamental questions:

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Instantaneous Dynamic Equilibria: Existence, Computation and Quality

  • Lukas Graf

摘要

Instantaneous dynamic equilibria (IDE) are an equilibrium concept for flows over time with deterministic queueing wherein individual flow particles make selfish decisions based on current information. This can be used as a model for car traffic where each driver initially chooses her route in such a way as to minimize her travel time under the current congestion state of the road network and then continuously adapts her route while driving. In this paper we summarize the main results from the author’s dissertation [4] on this topic, which addresses the following three fundamental questions: