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The communication networks in real world often couple with each other to save costs, which results in any network does not have a stand-alone function and efficiency. To investigate this, in this paper we propose a transportation model on…

物理与社会 · 物理学 2016-12-19 Ming Li , Mao-Bin Hu , Bing-Hong Wang

In this paper, the influence of fan-shaped buffer zone on the performance of the toll plaza is researched. A two-dimensional traffic flow model and a comprehensive evaluation model based on mechanical model and psychological field are…

物理与社会 · 物理学 2017-11-16 Wenhao Li , Yu Nie , Zhongyao Yang , Shaochun Zheng , Dehui Wang

Many transport processes on networks depend crucially on the underlying network geometry, although the exact relationship between the structure of the network and the properties of transport processes remain elusive. In this paper we…

物理与社会 · 物理学 2015-06-26 Bosiljka Tadic , G. J. Rodgers , Stefan Thurner

Traffic congestion continues to escalate with urbanization and socioeconomic development, necessitating advanced modeling to understand and mitigate its impacts. In large-scale networks, traffic congestion can be studied using cascade…

物理与社会 · 物理学 2025-02-20 Agnieszka Janicka , Fiona Sloothaak , Maria Vlasiou , Bert Zwart

Have you been suffering from traffic jams lately and asking yourself why freeways are no free ways anymore? After several great advances in traffic theory, Korean physicists have now offered an interpretation of a recently discovered state…

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

Recently we proposed an extension to the traffic model of Aw, Rascle and Greenberg. The extended traffic model can be written as a hyperbolic system of balance laws and numerically reproduces the reverse $\lambda$ shape of the fundamental…

物理与社会 · 物理学 2009-11-11 Florian Siebel , Wolfram Mauser

In this paper, a useful reinterpretation of the city as a porous medium justifies the application of well-known models on fluid dynamics to develop a multi-model study of urban air pollution due to traffic flow in a large city. Thus, to…

数值分析 · 数学 2025-02-21 N. Garcia-Chan , L. J. Alvarez-Vazquez , A. Martinez , M. E. Vazquez-Mendez

Starting from interaction rules based on two levels of stochasticity we study the influence of the microscopic dynamics on the macroscopic properties of vehicular flow. In particular, we study the qualitative structure of the resulting…

统计力学 · 物理学 2017-09-06 Giuseppe Visconti , Michael Herty , Gabriella Puppo , Andrea Tosin

The central points of communication network flow has often been identified using graph theoretical centrality measures. In real networks, the state of traffic density arises from an interplay between the dynamics of the flow and the…

无序系统与神经网络 · 物理学 2007-05-23 Petter Holme

One-directional traffic on two-lanes is modeled in the framework of a spring-block type model. A fraction $q$ of the cars are allowed to change lanes, following simple dynamical rules, while the other cars keep their initial lane. The…

物理与社会 · 物理学 2015-06-05 Ferenc Jarai-Szabo , Zoltan Neda

We present a model of traffic flow, with rules that describe the behaviour of automated vehicles in an open system. We show first of all that the fundamental diagram of this system collapses to a point, where states of free and jammed…

统计力学 · 物理学 2009-11-07 M. E. Larraga , J. A. del Rio , Anita Mehta

By introducing a simple model based on two-dimensional cellular automata, we reveal the relationship between the routing strategies of individual vehicles and the global behavior of transportation networks. Specifically, we characterize the…

物理与社会 · 物理学 2019-07-31 Tak Shing Tai , Chi Ho Yeung

Large amounts of traffic can lead to negative effects such as increased car accidents, air pollution, and significant time wasted. Understanding traffic speeds on any given road segment can be highly beneficial for traffic management…

机器学习 · 计算机科学 2024-11-04 Alexandru T. Cismaru

We present an economics-based method for deciding the optimal rates at which vehicles are allowed to enter a highway. The method exploits the naturally occuring fluctuations of traffic flow and is flexible enough to adapt in real time to…

统计力学 · 物理学 2007-05-23 Bernardo A. Huberman , Dirk Helbing

A key measure of performance and comfort in a road traffic network is the travel time that the users of the network experience to complete their journeys. Travel times on road traffic networks are stochastic, highly variable, and dependent…

动力系统 · 数学 2014-08-18 Nadir Farhi , Habib Haj-Salem , Jean-Patrick Lebacque

In the Optimal Velocity Model proposed as a new version of Car Following Model, it has been found that a congested flow is generated spontaneously from a homogeneous flow for a certain range of the traffic density. A well-established…

patt-sol · 物理学 2009-10-30 K. Nakanishi , K. Itoh , Y. Igarashi , M. Bando

In order to develop a toy model for car's traffic in cities, in this paper we analyze, by means of numerical simulations, the transition among fluid regimes and a congested jammed phase of the flow of "kinetically constrained" hard spheres…

统计力学 · 物理学 2009-07-30 Adriano Barra , Gabriele Achler

A most important aspect in the field of traffic modeling is the simulation of bottleneck situations. For their realistic description a macroscopic multi-lane model for uni-directional freeways including acceleration, deceleration, velocity…

统计力学 · 物理学 2009-10-31 Dirk Helbing

The congestion of a motorway section is propagated to its neighbouring sections, leading to correlations. The resulting correlation matrix encodes the information on congestion. Here, we study symmetrized time-lagged correlations and show…

物理与社会 · 物理学 2024-08-01 Gabor B. Hollbeck , René Pilarczyk , Shanshan Wang , Michael Schreckenberg , Thomas Guhr

Heavy-traffic limit theory deals with queues that operate close to criticality and face severe queueing times. Let $W$ denote the steady-state waiting time in the ${\rm GI}/{\rm G}/1$ queue. Kingman (1961) showed that $W$, when…

概率论 · 数学 2022-06-22 M. A. A. Boon , A. J. E. M. Janssen , J. S. H. van Leeuwaarden