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Traffic flow at low densities (free traffic) is characterized by a quasi-one-dimensional relation between traffic flow and vehicle density, while no such fundamental diagram exists for `synchronized' congested traffic flow. Instead, a…

统计力学 · 物理学 2009-11-07 Dirk Helbing , Davide Batic , Martin Schoenhof , Martin Treiber

A new single lane car following model of traffic flow is presented. The model is inertial and free of collisions. It demonstrates experimentally observed features of traffic flow such as the existence of three regimes: free, fluctuative…

无序系统与神经网络 · 物理学 2009-10-31 Elad Tomer , Leonid Safonov , Shlomo Havlin

Experimental studies on vehicular traffic provide data on quantities like density, flux, and mean speed of the vehicles. However, the diagrams relating these variables (the fundamental and speed diagrams) show some peculiarities not yet…

数值分析 · 数学 2016-03-01 Gabriella Puppo , Matteo Semplice , Andrea Tosin , Giuseppe Visconti

A two parameter model for single lane car-following is introduced and its equilibrium and non-equilibrium properties are studied. Despite its simplicity, this model exhibits a rich phenomenology, analogous to that observed in real traffic,…

统计力学 · 物理学 2007-05-23 M. Antoni , R. Cafiero

Starting from the instability diagram of a traffic flow model, we derive conditions for the occurrence of congested traffic states, their appearance, their spreading in space and time, and the related increase in travel times. We discuss…

物理与社会 · 物理学 2009-10-26 Dirk Helbing , Martin Treiber , Arne Kesting , Martin Schönhof

Statistical mechanics of a disordered system of cars on a single-lane road is developed. Behaviour of cars is defined by conditional probability of car velocity depending on the distance and velocity of the car ahead. A system consisting of…

统计力学 · 物理学 2009-08-13 Anton Šurda

The present paper proposes a stochastic model of the traffic flow. This model has a discrete set of states and the continuous time. The model is a generalization of the discrete stochastis model that has been considered in a previous paper…

其他凝聚态物理 · 物理学 2007-05-23 A. P. Buslaev , A. G. Tatashev , M. V. Yashina

A new vehicular traffic flow model based on a stochastic jump process in vehicle acceleration and braking is introduced. It is based on a master equation for the single car probability density in space, velocity and acceleration with an…

其他凝聚态物理 · 物理学 2009-11-10 K. Thomas Waldeer

Exact mean field equations are derived analytically to give the fundamental diagrams, i.e., the average speed - car density relations, for the Fukui-Ishibashi one-dimensional traffic flow cellular automaton model of high speed vehicles…

凝聚态物理 · 物理学 2009-10-31 Bing-Hong Wang , Lei Wang , P. M. Hui , Bambi Hu

We investigate the behaviour of an original traffic model. The model considers a single multi-lane street, populated by autonomous vehicles directed from either end to the other. Lanes have no intrinsic directionality, and the vehicles are…

计算物理 · 物理学 2007-05-23 Federico Polito , Fergal Dalton

We investigate characteristic properties of the congested traffic states on a 30 km long stretch of the German freeway A5 north of Frankfurt/Main. Among the approximately 245 breakdowns of traffic flow in 165 days, we have identified five…

统计力学 · 物理学 2007-05-23 Martin Schoenhof , Dirk Helbing

Based on the statistical evaluation of experimental single-vehicle data, we propose a quantitative interpretation of the erratic scattering of flow-density data in synchronized traffic flows. A correlation analysis suggests that the…

统计力学 · 物理学 2009-11-07 Katsuhiro Nishinari , Martin Treiber , Dirk Helbing

We describe traffic flows in one lane roadways using kinetic theory, with special emphasis on the role of quenched randomness in the velocity distributions. When passing is forbidden, growing clusters are formed behind slow cars and the…

统计力学 · 物理学 2007-05-23 E. Ben-Naim , P. L. Krapivsky

A generalized optimal velocity model is analyzed, where the optimal velocity function depends not only on the headway of each car but also the headway of the immediately preceding one. The stability condition of the model is derived by…

斑图形成与孤子 · 物理学 2009-11-07 Shiro Sawada

A simple algorithm for constructing an effective traffic model is presented. The algorithm uses statistically well-defined quantities extracted from the flow-density plot, and the resulting effective model naturally captures and predicts…

适应与自组织系统 · 物理学 2014-12-16 Bo Yang , Christopher Monterola

Recently, hysteretic transitions to `synchronized traffic' with high values of both density and traffic flow were observed on German freeways [B. S. Kerner and H. Rehborn, Phys. Rev. Lett. 79, 4030 (1997)]. We propose a macroscopic traffic…

统计力学 · 物理学 2009-10-31 Dirk Helbing , Martin Treiber

We discuss a phenomenological approach to the description of unstable vehicle motion on multilane highways that explains in a simple way the observed sequence of the phase transitions "free flow -> synchronized motion -> jam" as well as the…

统计力学 · 物理学 2009-10-31 Ihor A. Lubashevsky , Reinhard Mahnke

It is understood that congestion in traffic can be interpreted in terms of the instability of the equation of dynamic motion. The evolution of a traffic system from an unstable or metastable state to a globally stable state bears a strong…

物理与社会 · 物理学 2016-12-06 Wei-Liang Qian , Bin Wang , Kai Lin , Romuel F. Machado , Yogiro Hama

We study traffic flow on roads with a localized periodic inhomogeneity such as traffic signals, using a stochastic car-following model. We find that in cases of congestion, traffic flow can be optimized by controlling the inhomogeneity's…

统计力学 · 物理学 2007-05-23 Elad Tomer , Leonid Safonov , Nilly Madar , Shlomo Havlin

By analyzing empirical time headway distributions of traffic flow, a hypothesis about the underlying stochastic process can be drawn. The results found lead to the assumption that the headways $T_i$ of individual vehicles follow a linear…

其他凝聚态物理 · 物理学 2007-05-23 Peter Wagner
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