Summary
We propose an application of a new set of models referred to as “Stable Dynamics” which provide a flexible yet rigorous way to model traffic congestion in large urban areas. Data requirements are extremely low, since supply and demand data can be given by GIS systems. This approach is based on the requirements that (1) the maximum entering flow for each link is given and that (2) Wardrop principle holds. In this paper, we supplement this basic model by parking choice. We focus on the case where the commuters use private and public transportation from the origin to the destination (and back to the origin). We propose a consistent model of both for the day commuting and the morning-evening commuting and show that such extension can be formulated as standard convex mathematical problems.
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de Palma, A., Nesterov, Y. (2006). Park and Ride for the Day Period and Morning-Evening Commute. In: Lawphongpanich, S., Hearn, D.W., Smith, M.J. (eds) Mathematical and Computational Models for Congestion Charging. Applied Optimization, vol 101. Springer, Boston, MA. https://doi.org/10.1007/0-387-29645-X_7
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DOI: https://doi.org/10.1007/0-387-29645-X_7
Publisher Name: Springer, Boston, MA
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