scholarly journals On the micro-to-macro limit for first-order traffic flow models on networks

2016 ◽  
Vol 11 (3) ◽  
pp. 395-413 ◽  
Author(s):  
Emiliano Cristiani ◽  
Smita Sahu
Keyword(s):  
Traffic Flow ◽  
Flow Models ◽  
First Order ◽  
Traffic Flow Models

Dual EKF State and Parameter Estimation in Multi-Class First-Order Traffic Flow Models

2008 ◽  
Vol 41 (2) ◽  
pp. 14078-14083 ◽  
Author(s):  
J.W.C. Van Lint ◽  
Serge P. Hoogendoorn ◽  
A. Hegyi
Keyword(s):  
Parameter Estimation ◽  
Traffic Flow ◽  
Flow Models ◽  
First Order ◽  
Traffic Flow Models

First-order traffic flow models incorporating capacity drop: Overview and real-data validation

2017 ◽  
Vol 106 ◽  
pp. 52-75 ◽  
Author(s):  
Maria Kontorinaki ◽  
Anastasia Spiliopoulou ◽  
Claudio Roncoli ◽  
Markos Papageorgiou
Keyword(s):  
Traffic Flow ◽  
Real Data ◽  
Data Validation ◽  
Flow Models ◽  
First Order ◽  
Traffic Flow Models ◽  
Capacity Drop

Introducing Buses into First-Order Macroscopic Traffic Flow Models

1998 ◽  
Vol 1644 (1) ◽  
pp. 70-79 ◽  
Author(s):  
J.P. Lebacque ◽  
J.B. Lesort ◽  
F. Giorgi
Keyword(s):  
Simple Model ◽  
Traffic Flow ◽  
Supply And Demand ◽  
Interaction Model ◽  
Macroscopic Model ◽  
Moving Frame ◽  
Large Measure ◽  
Flow Models ◽  
First Order ◽  
Traffic Flow Models

The aim of this paper is to provide a simple model of the interaction between buses and the surrounding traffic flow. Traffic flow is assumed to be described by a first-order macroscopic model of the Lighthill-Whitman-Richards type. As a consequence of their kinematics, which in large measure can be considered to be independent of the flow of other vehicles, buses should be considered as a moving capacity restriction from the point of view of other drivers. This simple interaction model is analyzed, mainly by considering the moving frame associated with the bus in order to derive analytical computation rules for derivation of the effects of the presence of the bus in the traffic flow. After deriving traffic equations in the moving frame associated with a bus, the usual basic concepts of first-order models, including those of relative traffic supply and demand, are generalized to the moving frame. A simple model for the bus-traffic interaction, assuming that the dimension of the bus can be neglected, can be derived from analytical calculations in the moving frame. Finally, some tentative results for the inclusion of buses into first-order traffic flow models, discretized according to Godunov’s scheme, are given.

Two-Phase Bounded-Acceleration Traffic Flow Model: Analytical Solutions and Applications

2003 ◽  
Vol 1852 (1) ◽  
pp. 220-230 ◽  
Author(s):  
J. P. Lebacque
Keyword(s):  
Traffic Flow ◽  
Analytical Solutions ◽  
Flow Model ◽  
Second Phase ◽  
Traffic Equilibrium ◽  
Two Phase ◽  
Traffic Flow Model ◽  
Flow Models ◽  
First Order ◽  
Traffic Flow Models

A two-phase traffic flow model is described. One phase is traffic equilibrium: flow and speed are functions of density, and traffic acceleration is low. The second phase is characterized by constant acceleration. This model extends first-order traffic flow models and recaptures the fact that traffic acceleration is bounded. Calculation of analytical solutions of the two-phase model for dynamic traffic situations is shown, a set of calculation rules is provided, and some examples are analyzed.

Stochastic Traffic Flow Models of the National Airspace System

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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