Mathematical Models and Methods in Applied Sciences · 2002 · 195 citations · 32 references
EngineeringAutomotive EngineeringMathematicsFluid DynamicsTransportationTransportation EngineeringTraffic EngineeringTraffic Flow AnalysisTraffic Flow ManagementTraffic Flow TheoryTransport ModelingTransport ModellingExperimental Results InterpretationFlow-density RelationshipsKinetic Transport EquationsOverviewTraffic Flow ModelingTraffic Flow PredictionTraffic Flow RateTraffic Simulation
This review reports the existing literature on traffic flow modelling in the framework of a critical overview which aims to indicate research perspectives. The contents mainly refer to modelling by fluid dynamic and kinetic equations and are arranged in three parts. The first part refers to methodological aspects of mathematical modelling and to the interpretation of experimental results. The second part is devoted to modelling and deals both with methodological aspects and with the description of some specific models. The third part reports about an overview on applications and research perspectives.
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Traffic and related self-driven many-particle systems
Dirk Helbing · Reviews of Modern Physics · 2001 · 3.3K citations · Full text
Resurrection of "Second Order" Models of Traffic Flow
A. Aw, M. Rascle · SIAM Journal on Applied Mathematics · 2000 · 1.3K citations
Engineering, Physics, Fluid Dynamics +11