منابع مشابه
Zero-range model of traffic flow.
A multicluster model of traffic flow is studied, in which the motion of cars is described by a stochastic master equation. Assuming that the escape rate from a cluster depends only on the cluster size, the dynamics of the model is directly mapped to the mathematically well-studied zero-range process. Knowledge of the asymptotic behavior of the transition rates for large clusters allows us to ap...
متن کاملSimulation of Traffic Flow Model with Traffic Controller Boundary
This paper considers a fluid dynamic traffic flow model appended with a closure linear velocity-density relationship which provides a first order hyperbolic partial differential equation (PDE) and is treated as an initial boundary value problem (IBVP). We consider the boundary value in such a way that one side of highway treat like there is a traffic controller at that point. We present the ana...
متن کاملTwo-way traffic flow: Exactly solvable model of traffic jam
We study completely asymmetric two-channel exclusion processes in one dimension. It describes a two-way traffic flow with cars moving in opposite directions. The interchannel interaction makes cars slow down in the vicinity of approaching cars in the other lane. Particularly, we consider in detail the system with a finite density of cars on one lane and a single car on the other. When the inter...
متن کاملA Probability-Based Model of Traffic Flow
Describing the behavior of traffic via mathematical modeling and computer simulation has been a challenge confronted by mathematicians in various ways throughout the last century. In this project, we introduce various existing traffic flow models and present a new, probability-based model that is a hybrid of the microscopic and macroscopic views, drawing upon current ideas in traffic flow theor...
متن کاملFuzzy Group Model of Traffic Flow
Simplicity and accuracy of models are crucial criteria of their construction in general and in road traffic systems especially. The quality of models is indeed a trade off between them because to complicate models are computational inefficient and can not be used in on line control and simulation of large systems. These goals fulfil the group model of traffic flow (Kaczmarek 1986), in which veh...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2005
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.72.056125