Mean Field Games Framework to Departure Time Choice Equilibrium in Urban Traffic Networks
| Autor: | Mostafa AMELI, Mohamad Sadegh Shirani Faradonbeh, Jean Patrick Lebacque, Hossein Abouee-Mehrizi, Ludovic Leclercq |
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| Přispěvatelé: | Génie des Réseaux de Transport Terrestres et Informatique Avancée (COSYS-GRETTIA ), Université Gustave Eiffel, Department of Management sciences, University of Waterloo [Waterloo], Laboratoire d'Ingénierie Circulation Transport (LICIT UMR TE ), École Nationale des Travaux Publics de l'État (ENTPE)-Université de Lyon-Université Gustave Eiffel, EC/H2020/646592/EU/A Multiscale and Multimodal Modelling Approach for Green Urban Traffic Management/MAGnUM_ERC, Cadic, Ifsttar |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
MEAN-FIELD GAMES
DEPARTURE TIME CHOICE DETERMINISTIC DIFFERENTIAL GAMES DEPLACEMENT URBAIN HEURE DUREE DU TRAJET RESEAU DE TRANSPORT BATHTUB MODEL MODELE MACROSCOPIQUE CIRCULATION ROUTIERE RESEAU ROUTIER MODELISATION [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation CHARGE DE TRAFIC CONGESTION DU TRAFIC DYNAMIC USER EQUILIBRIUM TRAFIC ROUTIER [INFO.INFO-MO] Computer Science [cs]/Modeling and Simulation REGULATION DU TRAFIC NASH EQUILIBRIUM |
| Zdroj: | TRB 2021, Transportation Research Board 100th Annual Meeting-A Virtual Event TRB 2021, Transportation Research Board 100th Annual Meeting-A Virtual Event, Jan 2021, Washington DC, United States. 2p HAL |
| Popis: | TRB 2021, Transportation Research Board 100th Annual Meeting - A Virtual Event, Washington DC, ETATS-UNIS, 05-/01/2021 - 29/01/2021; Departure time choice models have a crucial role in transportation network planning in order to provide planners with predictions about the optimal traffic load. This paper introduces a new dynamic departure time choice framework based on the so-called Mean-field Games (MFGs) theory proposed by Lasry and Lions. MFGs models aim to analyze large population differential games. This feature gives us a unique opportunity to design a departure time choice equilibrium model in a scale-free transportation system. The proposed framework is the combination of two components: (i) the reaction of travelers to the traffic congestion by choosing their departure time to optimize the travel cost; (ii) the aggregation of the actions of the travelers, which determines the congestion level of the system. The first component corresponds to a classical game theory model, while the second one captures the interactions of the travelers at the macroscopic level. We use the generalized bathtub model recently proposed by Jin to represent the traffic dynamics at the network level. First, we provide a continuous model to investigate the equilibria and then give a discrete approximation of the system from deterministic differential games models. Finally, we show on a real test case that the model can represent the departure time choice equilibrium for multiple preferred travel time with heterogeneous trip lengths wile the framework is capable of considering a large number of players. |
| Databáze: | OpenAIRE |
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