A review of mathematical models for the flow of traffic and some recent results Academic Article

abstract

• After reviewing a variety of macroscopic models based on the continuum approach, cellular automata models, models based on the kinetic theory of gases as well as microscopic models, and delineating their usefulness and deficiencies, we present a model based on a discrete system of dynamical systems. We evaluate the efficacy of the model by comparing the predictions of the model with real time data from monitoring facilities on a highway in Austin, Texas. 2008.

authors

• Darbha, Swaroop
• Rajagopal, Kumbakonam

published proceedings

• NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

altmetric score

• 3

author list (cited authors)

• Darbha, S., Rajagopal, K. R., & Tyagi, V.

citation count

• 30

complete list of authors

• Darbha, S||Rajagopal, KR||Tyagi, V

publication date

• August 2008

publisher

• Elsevier  Publisher

published in

• Nonlinear Analysis Theory Methods and Applications  Journal

keywords

• Congestion
• Density
• Dynamical System
• Intelligent Transportation System
• Macroscopic Models
• Microscopic Models

Digital Object Identifier (DOI)

• 10.1016/j.na.2008.02.123

start page

• 950

end page

• 970

volume

• 69

issue

• 3

URL

• http://dx.doi.org/10.1016/j.na.2008.02.123