Abstract
Previous authors have considered the basic bottleneck model with one origin, one destination, and one link and shown that an equilibrium exists for the time of usage. In this paper we briefly review these results and introduce several intuitive day-to-day adjustment processes. Using numerical examples, we show that these adjustment processes never converge toward the solution of the basic bottleneck model. However, convergence occurs when the amount of heterogeneity in the driver’s behavior is large enough. We hope that these results will provide some useful insights to researchers developing large-scale dynamic network equilibrium models.
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de Palma, A. (2000). Solution and Stability for a Simple Dynamic Bottleneck Model. In: Filar, J.A., Gaitsgory, V., Mizukami, K. (eds) Advances in Dynamic Games and Applications. Annals of the International Society of Dynamic Games, vol 5. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1336-9_22
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DOI: https://doi.org/10.1007/978-1-4612-1336-9_22
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