Traffic flow models with phase transitions on road networks

The development of real time traffic flow models for urban road networks is of paramount importance for the purposes of optimizing and control of traffic flow. Motivated by the modeling of road networks in last decade, this paper proposes a different and simplified approach, known as section approach to model road networks in the framework of macroscopic traffic flow models. For evaluation of the traffic states on a single road, an anisotropic continuum GK-model developed by [Gupta and Katiyar, J. Phys. A38, 4069 (2005)] is used as a single-section model. This model is applied to a two-section single lane road with points of entry and exits. In place of modeling the effect of off- and on-ramps in the continuity equation, a set of special boundary condition is taken into account to treat the points of entry and exit. A four-section road network comprised of two one-lane roads is also modeled using this methodology. The performances of the section approaches are investigated and obtained results are demonstrated over simulated data for different boundary conditions.

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Stochastic Traffic Flow Models of the National Airspace System

AIAA Guidance, Navigation and Control Conference and Exhibit ◽

10.2514/6.2008-6326 ◽

2008 ◽

Author(s):

Monish Tandale ◽

Jinwhan Kim ◽

Karthik Palaniappan ◽

P. K. Menon ◽

Jay Rosenberger ◽

...

Keyword(s):

Traffic Flow ◽

National Airspace System ◽

Flow Models ◽

Traffic Flow Models

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A Variational Formulation for Higher Order Macroscopic Traffic Flow Models of the GSOM Family

Procedia - Social and Behavioral Sciences ◽

10.1016/j.sbspro.2013.05.021 ◽

2013 ◽

Vol 80 ◽

pp. 370-394 ◽

Cited By ~ 10

Author(s):

J.P. Lebacque ◽

M.M. Khoshyaran

Keyword(s):

Traffic Flow ◽

Variational Formulation ◽

Higher Order ◽

Flow Models ◽

Macroscopic Traffic Flow ◽

Traffic Flow Models ◽

Macroscopic Traffic Flow Models

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Two effective temperatures in traffic flow models: analogies with granular flow

Physica A Statistical Mechanics and its Applications ◽

10.1016/s0378-4371(01)00583-0 ◽

2002 ◽

Vol 307 (3-4) ◽

pp. 527-547 ◽

Cited By ~ 6

Author(s):

M.E. Lárraga ◽

J.A. del Rı́o ◽

Anita Mehta

Keyword(s):

Traffic Flow ◽

Granular Flow ◽

Flow Models ◽

Traffic Flow Models ◽

Effective Temperatures

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Study of the Response of PW Traffic Flow Model to a Bottleneck on a Circular Road and its Suitability for Heterogeneous Traffic Conditions

International Journal of Emerging Trends in Engineering Research ◽

10.30534/ijeter/2021/22942021 ◽

2021 ◽

Vol 9 (4) ◽

pp. 460-463

Keyword(s):

Fluid Flow ◽

Traffic Flow ◽

Flow Model ◽

Equation Model ◽

Heterogeneous Traffic ◽

Flow Conditions ◽

Flow Models ◽

Traffic Conditions ◽

Model Response ◽

Traffic Flow Models

The traffic flow conditions in developing countries are predominantly heterogeneous. The early developed traffic flow models have been derived from fluid flow to capture the behavior of the traffic. The very first two-equation model derived from fluid flow is known as the Payne-Whitham or PW Model. Along with the traffic flow, this model also captures the traffic acceleration. However, the PW model adopts a constant driver behavior which cannot be ignored, especially in the situation of heterogeneous traffic.This research focuses on testing the PW model and its suitability for heterogeneous traffic conditions by observing the model response to a bottleneck on a circular road. The PW model is mathematically approximated using the Roe Decomposition and then the performance of the model is observed using simulations.

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