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We present large scale and detailed analysis of the microscopic empirical data of the traffic flow, focusing on the non-linear interactions between the vehicles when the traffic is congested. By implementing a "renormalisation" procedure…

Adaptation and Self-Organizing Systems · Physics 2016-03-15 Bo Yang , Ji Wei Yoon , Christopher Monterola

This paper studies a stochastic model that describes the evolution of vehicle densities in a road network. It is consistent with the class of (deterministic) kinematic wave models, which describe traffic flows on the basis of conservation…

Probability · Mathematics 2021-02-11 Michel Mandjes , Jaap Storm

Most Internet traffic is carried by capacity-seeking protocols such as TCP and QUIC. Capacity-seeking protocols probe to find the maximum available throughput from sender to receiver, and, once they converge, attempt to keep sending traffic…

Networking and Internet Architecture · Computer Science 2022-11-15 Bjørn Ivar Teigen , Neil Davies , Kai Olav Ellefsen , Tor Skeie , Carlo Augusto Grazia , Jim Torresen

Recent work in decentralized, schedule-driven traffic control has demonstrated the ability to significantly improve traffic flow efficiency in complex urban road networks. However, in situations where vehicle volumes increase to the point…

Artificial Intelligence · Computer Science 2019-03-12 Hsu-Chieh Hu , Stephen F. Smith

We study the effect of reaction times on the kinetics of relaxation to stationary states and on congestion transitions in heterogeneous traffic. Heterogeneity is modeled as quenched disorders in the parameters of the car following model and…

Physics and Society · Physics 2021-03-10 A. Sai Venkata Ramana , Saif Eddin Jabari

Capacity estimation is an important tool for the design and dimensioning of pedestrian facilities. The literature contains different procedures and specifications which show considerable differences with respect to the estimated flow…

Physics and Society · Physics 2007-12-03 Armin Seyfried , Tobias Rupprecht , Oliver Passon , Bernhard Steffen , Wolfram Klingsch , Maik Boltes

Every driver knows that severe weather conditions cause traffic congestions. In many cases there is no direct reason for the congestion, and people tend to attribute it to the slow driving mode. Our computational study shows that the slow…

Chaotic Dynamics · Physics 2008-12-15 Azi Lipshtat

This paper discusses the real-time prediction of queue lengths from probe vehicles for the Bunch arrival headways at an isolated intersection for undersaturated conditions. The paper incorporates the bunching effect of the traffic into the…

Applications · Statistics 2020-01-17 Gurcan Comert , Stacey Franklin Jones

This paper analyzes the use of variable speed limits to optimize travel time reliability for commuters. The investigation focuses on a traffic corridor with a bottleneck subject to the capacity drop phenomenon. The optimization criterion is…

Optimization and Control · Mathematics 2025-09-16 Alexander Hammerl , Ravi Seshadri , Thomas Kjær Rasmussen , Otto Anker Nielsen

We study a minimal model of traffic flows in complex networks, simple enough to get analytical results, but with a very rich phenomenology, presenting continuous, discontinuous as well as hybrid phase transitions between a free-flow phase…

Statistical Mechanics · Physics 2015-05-13 Daniele De Martino , Luca Dall'Asta , Ginestra Bianconi , Matteo Marsili

A nucleation model for the breakdown phenomenon in freeway free traffic flow at an on-ramp bottleneck is presented. This model, which can explain empirical results on the breakdown phenomenon, is based on assumptions of three-phase traffic…

Statistical Mechanics · Physics 2007-05-23 Boris S. Kerner , Sergey L. Klenov

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…

Adaptation and Self-Organizing Systems · Physics 2014-12-16 Bo Yang , Christopher Monterola

A bottleneck situation in one-lane traffic-flow is typically modelled with a constant demand of entering cars. However, in practice this demand may depend on the density of cars in the bottleneck. The present paper studies a simple bimodal…

Statistical Mechanics · Physics 2016-11-26 Marko Woelki

We study completely asymmetric 2-channel exclusion processes in 1 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…

Statistical Mechanics · Physics 2008-11-26 H. -W. Lee , V. Popkov , D. Kim

We generalize a wide class of time-continuous microscopic traffic models to include essential aspects of driver behaviour not captured by these models. Specifically, we consider (i) finite reaction times, (ii) estimation errors, (iii)…

Soft Condensed Matter · Physics 2007-05-23 Martin Treiber , Arne Kesting , Dirk Helbing

We investigate how a weak constant force becomes detectable through fluctuations in anomalous transport in strongly heterogeneous media. Rather than focusing on the mean drift, we show that the key signature of the force appears in the…

Statistical Mechanics · Physics 2026-03-17 Masahiro Shirataki , Takuma Akimoto

We analyze the characteristic features of traffic breakdown. To describe this phenomenon we apply to the probabilistic model regarding the jam emergence as the formation of a large car cluster on highway. In these terms the breakdown occurs…

Soft Condensed Matter · Physics 2013-05-29 Reinhart Kuhne , Reinhard Mahnke , Ihor Lubashevsky , Jevgenijs Kaupuzs

Traffic flow is a very prominent example of a driven non-equilibrium system. A characteristic phenomenon of traffic dynamics is the spontaneous and abrupt drop of the average velocity on a stretch of road leading to congestion. Such a…

Physics and Society · Physics 2012-10-29 Florian Knorr , Michael Schreckenberg

Connected Automated Vehicles (CAVs) bring promise of increasing traffic capacity and energy efficiency by forming platoons with short headways on the road. However at low CAV penetration, the capacity gain will be small because the CAVs…

Systems and Control · Electrical Eng. & Systems 2021-08-13 Soomin Woo , Alexander Skabardonis

Oscillatory flow patterns have been observed in many different driven many-particle systems. The conventional assumption is that the reason for emergent oscillations in opposing flows is an increased efficiency (throughput). In this…

Statistical Mechanics · Physics 2009-11-11 Rui Jiang , Dirk Helbing , Pradyumn Kumar Shukla , Qing-Song Wu