Abstract

THE THEORY OF MULTIPLE-LANE TRAFFIC FLOW IS EXAMINED. A PREDICTION OF THE CHARACTER OF THE TRAFFIC FLOW IS MADE AT ARBITARY DENSITY IN TERMS OF DRIVER BEHAVIOR IN DILUTE, NONINTERACTING TRAFFIC, AND A KINETIC EQUATION IS DERIVED TO DESCRIBE THE SPACE-TIME EVOLUTION OF THE VELOCITY DISTRIBUTION OF CARS. THE ANALOGIES THAT EXIST BETWEEN STATISTICAL PHYSICS AND TRAFFIC HAVE BEEN EMPLOYED IN DEVELOPING A VIABLE THEORY. THE PROBLEM IS FORMULATED AND THE THEORY IS DEVELOPED TO A POINT WHERE THE MEETING OF THEORETICAL CONCEPTS WITH EXPERIMENTAL OBSERVATIONS WILL BE FRUITFUL. /AUTHOR/

Keywords

Traffic flow (computer networking)Three-phase traffic theoryMicroscopic traffic flow modelKinetic theoryStatistical physicsComputer sciencePoint (geometry)Flow (mathematics)Kinetic energyTraffic waveRoad trafficSpace (punctuation)Character (mathematics)Distribution (mathematics)Applied mathematicsTraffic congestion reconstruction with Kerner's three-phase theoryMathematical optimizationTraffic generation modelPhysicsClassical mechanicsMathematicsMechanicsTheoretical physicsTransport engineeringMathematical analysisTraffic congestionEngineering

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Publication Info

Year
1972
Type
article
Volume
SMC-2
Issue
2
Pages
295-295
Citations
668
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Cite This

Ilya Prigogine, R. Herman, Robert Schechter (1972). Kinetic Theory of Vehicular Traffic. IEEE Transactions on Systems Man and Cybernetics , SMC-2 (2) , 295-295. https://doi.org/10.1109/tsmc.1972.4309114

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DOI
10.1109/tsmc.1972.4309114