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Vehicular Traffic: A Review of Continuum Mathematical Models

  • Reference work entry
Mathematics of Complexity and Dynamical Systems

Article Outline

Glossary

Definition of the Subject

Introduction

Macroscopic Modeling

Kinetic Modeling

Road Networks

Future Directions

Bibliography

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Abbreviations

Mathematical model:

Simplified description of a real world system in mathematical terms, e. g., by means of differential equations or other suitable mathematical structures.

Scale of observation/representation:

Level of detail at which a system is observed and mathematically modeled.

Macroscopic scale:

Scale of observation focusing on the evolution in time and space of some macroscopic quantities of the system at hand; that is, quantities that can be experimentally observed and measured.

Kinetic scale:

Scale of representation focusing on a statistical description of the evolution of the microscopic states of the system at hand.

Vehicular traffic:

The overall dynamics produced by cars or other transports in motion along a road.

Road network:

A set of roads connected to one another by junctions.

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Author information

Authors and Affiliations

  1. Istituto per le Applicazioni del Calcolo “Mauro Picone”, Consiglio Nazionale delle Ricerche, Rome, Italy

    Benedetto Piccoli & Andrea Tosin

Authors
  1. Benedetto Piccoli
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  2. Andrea Tosin
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Editor information

Editors and Affiliations

  1. RAMTECH LIMITED, 122 Escalle Lane, Larkspur, CA, 94939, USA

    Robert A. Meyers Ph. D. (Editor-in-Chief) (Editor-in-Chief)

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Piccoli, B., Tosin, A. (2012). Vehicular Traffic: A Review of Continuum Mathematical Models. In: Meyers, R. (eds) Mathematics of Complexity and Dynamical Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1806-1_112

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