Optima and equilibria for traffic flow on networks with backward propagating queues

DOI10.3934/nhm.2015.10.717zbMath1326.49063OpenAlexW2400172913WikidataQ59263848 ScholiaQ59263848MaRDI QIDQ887713

Alberto Bressan, Khai T. Nguyen

Publication date: 27 October 2015

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2015.10.717

zbMATH Keywords

Nash equilibrianetwork of roadsscalar conservation lawstraffic flowsglobal optima

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Existence of solutions for minimax problems (49J35) Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20) Existence theories for optimal control problems involving partial differential equations (49J20) Optimality conditions for minimax problems (49K35)

Related Items (7)

Atomic Dynamic Flow Games: Adaptive vs. Nonadaptive Agents ⋮ Godunov-like numerical fluxes for conservation laws on networks ⋮ On the Optimization of Conservation Law Models at a Junction with Inflow and Flow Distribution Controls ⋮ Time-Continuous Instantaneous and Past Memory Routing on Traffic Networks: A Mathematical Analysis on the Basis of the Link-Delay Model ⋮ Globally optimal departure rates for several groups of drivers ⋮ Continuous Riemann solvers for traffic flow at a junction ⋮ Conservation law models for traffic flow on a network of roads

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