Stable Dynamics in Transportation Systems
We present a new class of transportation systems, the stable dynamics models, which provides a natural link between the static and dynamic trafic network models. They can be seen as steady states of dynamic networks (flows are constant in time). These models turn out to be very easy to study analytically for simple networks. Moreover, they can be extended for large networks, for which efficient (and standard)algorithms to solve for equilibrium can be derived. We also present a formulation for the endogenous origin-destination case. Finally, this class of models leads to very natural and simple calibration methods.
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- A. de Palma & Y. Nesterov, 1997.
"Optimization formulations and static equilibrium in congested transportation networks,"
THEMA Working Papers
97-17, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- de PALMA, André & NESTEROV, Yurii, 1998. "Optimization formulations and static equilibrium in congested transportation networks," CORE Discussion Papers 1998061, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Ouorou, A. & Mahey, P. & Vial, P.PH., 1997. "A Survey of Algorithms for Convex Multicommodity Flow Problems," Papers 97.13, Ecole des Hautes Etudes Commerciales, Universite de Geneve-.
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